<?xml version="1.0" encoding="utf-8"?>
<!--XBRL document created with Toppan Merrill Bridge  11.3.0.1 -->
<!--Based on XBRL 2.1-->
<!--Created on: 5/13/2026 2:26:43 PM-->
<!--Modified on: 5/13/2026 2:26:43 PM-->
<xsd:schema targetNamespace="http://www.medalistreit.com/20260331" elementFormDefault="qualified" xmlns:us-gaap="http://fasb.org/us-gaap/2025" xmlns:ref="http://www.xbrl.org/2006/ref" xmlns:xbrldt="http://xbrl.org/2005/xbrldt" xmlns:xl="http://www.xbrl.org/2003/XLink" xmlns:country="http://xbrl.sec.gov/country/2025" xmlns:srt="http://fasb.org/srt/2025" xmlns:link="http://www.xbrl.org/2003/linkbase" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:negated="http://www.xbrl.org/2009/role/negated" xmlns:xbrli="http://www.xbrl.org/2003/instance" xmlns:xsd="http://www.w3.org/2001/XMLSchema" xmlns:mdrr="http://www.medalistreit.com/20260331" xmlns:enum2="http://xbrl.org/2020/extensible-enumerations-2.0" xmlns:dtr-types="http://www.xbrl.org/dtr/type/2024-01-31" xmlns:us-roles="http://fasb.org/us-roles/2025" xmlns:utr="http://www.xbrl.org/2009/utr" xmlns:attributeFormDefault="unqualified" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:deprecated="http://www.xbrl.org/2009/role/deprecated" xmlns:net="http://www.xbrl.org/2009/role/net" xmlns:dei="http://xbrl.sec.gov/dei/2025" xmlns:dtr="http://www.xbrl.org/2009/dtr" xmlns:xbrldi="http://xbrl.org/2006/xbrldi" xmlns:ecd="http://xbrl.sec.gov/ecd/2025" xmlns:ecd-sub="http://xbrl.sec.gov/ecd-sub/2025">
  <xsd:annotation>
    <xsd:appinfo>
      <link:roleType roleURI="http://www.medalistreit.com/role/DisclosureStandardAndCustomAxisDomainDefaults" id="DisclosureStandardAndCustomAxisDomainDefaults">
        <link:definition>99900 - Disclosure - Standard And Custom Axis Domain Defaults</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.medalistreit.com/role/StatementCondensedConsolidatedBalanceSheets" id="StatementCondensedConsolidatedBalanceSheets">
        <link:definition>995200100 - Statement - Condensed Consolidated Balance Sheets</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.medalistreit.com/role/StatementCondensedConsolidatedStatementsOfOperations" id="StatementCondensedConsolidatedStatementsOfOperations">
        <link:definition>995200200 - Statement - Condensed Consolidated Statements of Operations</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.medalistreit.com/role/StatementCondensedConsolidatedStatementsOfCashFlows" id="StatementCondensedConsolidatedStatementsOfCashFlows">
        <link:definition>995200400 - Statement - Condensed Consolidated Statements of Cash Flows</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.medalistreit.com/role/StatementCondensedConsolidatedStatementsOfCashFlowsParenthetical" id="StatementCondensedConsolidatedStatementsOfCashFlowsParenthetical">
        <link:definition>995200405 - Statement - Condensed Consolidated Statements of Cash Flows (Parenthetical)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.medalistreit.com/role/DisclosureSummaryOfSignificantAccountingPoliciesIntangibleAssetsAndLiabilitiesNetFutureAmortizationOfAboveAndBelowMarketLeasesDetails" id="DisclosureSummaryOfSignificantAccountingPoliciesIntangibleAssetsAndLiabilitiesNetFutureAmortizationOfAboveAndBelowMarketLeasesDetails">
        <link:definition>99940208 - Disclosure - Summary of Significant Accounting Policies - Intangible Assets and Liabilities, net - Future Amortization of Above and Below Market Leases (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.medalistreit.com/role/DisclosureInvestmentPropertiesInvestmentPropertiesDetails" id="DisclosureInvestmentPropertiesInvestmentPropertiesDetails">
        <link:definition>99940301 - Disclosure - Investment Properties - Investment Properties (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.medalistreit.com/role/DisclosureInvestmentPropertiesAcquisitionDetails" id="DisclosureInvestmentPropertiesAcquisitionDetails">
        <link:definition>99940305 - Disclosure - Investment Properties - Acquisition (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.medalistreit.com/role/DisclosureLoansPayableInterestExpenseDetails" id="DisclosureLoansPayableInterestExpenseDetails">
        <link:definition>99940508 - Disclosure - Loans Payable - Interest expense (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.medalistreit.com/role/DisclosureLoansPayablePrincipalRepaymentsOnIndebtednessDetails" id="DisclosureLoansPayablePrincipalRepaymentsOnIndebtednessDetails">
        <link:definition>99940510 - Disclosure - Loans Payable - Principal Repayments on Indebtedness (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.medalistreit.com/role/DisclosureRentalsUnderOperatingLeasesDetails" id="DisclosureRentalsUnderOperatingLeasesDetails">
        <link:definition>99940601 - Disclosure - Rentals under Operating Leases (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.medalistreit.com/role/DisclosureEquityDividendsAndDistributionsToNoncontrollingInterestsPaidDetails" id="DisclosureEquityDividendsAndDistributionsToNoncontrollingInterestsPaidDetails">
        <link:definition>99940706 - Disclosure - Equity - Dividends and Distributions to Noncontrolling Interests Paid (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.medalistreit.com/role/DocumentDocumentAndEntityInformation" id="DocumentDocumentAndEntityInformation">
        <link:definition>995200090 - Document - Document And Entity Information</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.medalistreit.com/role/StatementCondensedConsolidatedStatementsOfStockholdersEquity" id="StatementCondensedConsolidatedStatementsOfStockholdersEquity">
        <link:definition>995200300 - Statement - Condensed Consolidated Statements of Stockholders' Equity</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.medalistreit.com/role/DisclosureSummaryOfSignificantAccountingPoliciesTables" id="DisclosureSummaryOfSignificantAccountingPoliciesTables">
        <link:definition>99930203 - Disclosure - Summary of Significant Accounting Policies (Tables)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.medalistreit.com/role/DisclosureInvestmentPropertiesTables" id="DisclosureInvestmentPropertiesTables">
        <link:definition>99930303 - Disclosure - Investment Properties (Tables)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.medalistreit.com/role/DisclosureOrganizationAndBasisOfPresentationAndConsolidationsDetails" id="DisclosureOrganizationAndBasisOfPresentationAndConsolidationsDetails">
        <link:definition>99940101 - Disclosure - Organization and Basis of Presentation and Consolidations (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.medalistreit.com/role/DisclosureSummaryOfSignificantAccountingPoliciesVariableInterestEntitiesDetails" id="DisclosureSummaryOfSignificantAccountingPoliciesVariableInterestEntitiesDetails">
        <link:definition>99940201 - Disclosure - Summary of Significant Accounting Policies - Variable Interest Entities (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.medalistreit.com/role/DisclosureSummaryOfSignificantAccountingPoliciesInvestmentPropertiesDetails" id="DisclosureSummaryOfSignificantAccountingPoliciesInvestmentPropertiesDetails">
        <link:definition>99940202 - Disclosure - Summary of Significant Accounting Policies - Investment Properties (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.medalistreit.com/role/DisclosureSummaryOfSignificantAccountingPoliciesAssetsHeldForSaleDetails" id="DisclosureSummaryOfSignificantAccountingPoliciesAssetsHeldForSaleDetails">
        <link:definition>99940203 - Disclosure - Summary of Significant Accounting Policies - Assets Held for Sale (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.medalistreit.com/role/DisclosureSummaryOfSignificantAccountingPoliciesIntangibleAssetsAndLiabilitiesNetNetOfAmortizationArisingPurchasesOfRetailCenterPropertiesAndFlexCenterPropertiesDetails" id="DisclosureSummaryOfSignificantAccountingPoliciesIntangibleAssetsAndLiabilitiesNetNetOfAmortizationArisingPurchasesOfRetailCenterPropertiesAndFlexCenterPropertiesDetails">
        <link:definition>99940204 - Disclosure - Summary of Significant Accounting Policies - Intangible Assets and Liabilities, net - Net of amortization, arising purchases of retail center properties and flex center properties (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.medalistreit.com/role/DisclosureSummaryOfSignificantAccountingPoliciesIntangibleAssetsAndLiabilitiesNetRentalRevenueRelatedToAboveAndBelowMarketLeasesDetails" id="DisclosureSummaryOfSignificantAccountingPoliciesIntangibleAssetsAndLiabilitiesNetRentalRevenueRelatedToAboveAndBelowMarketLeasesDetails">
        <link:definition>99940205 - Disclosure - Summary of Significant Accounting Policies - Intangible Assets and Liabilities, net - Rental Revenue Related to Above and Below Market Leases (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.medalistreit.com/role/DisclosureSummaryOfSignificantAccountingPoliciesIntangibleAssetsAndLiabilitiesNetRelatedToIntangibleAssetsDetails" id="DisclosureSummaryOfSignificantAccountingPoliciesIntangibleAssetsAndLiabilitiesNetRelatedToIntangibleAssetsDetails">
        <link:definition>99940206 - Disclosure - Summary of Significant Accounting Policies - Intangible Assets and Liabilities, net - Related to Intangible Assets (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.medalistreit.com/role/DisclosureSummaryOfSignificantAccountingPoliciesIntangibleAssetsAndLiabilitiesNetDetails" id="DisclosureSummaryOfSignificantAccountingPoliciesIntangibleAssetsAndLiabilitiesNetDetails">
        <link:definition>99940207 - Disclosure - Summary of Significant Accounting Policies - Intangible Assets and Liabilities, net (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.medalistreit.com/role/DisclosureSummaryOfSignificantAccountingPoliciesImpairmentOfInvestmentPropertiesAndIntangibleLeaseAssetsDetails" id="DisclosureSummaryOfSignificantAccountingPoliciesImpairmentOfInvestmentPropertiesAndIntangibleLeaseAssetsDetails">
        <link:definition>99940209 - Disclosure - Summary of Significant Accounting Policies - Impairment of Investment Properties and Intangible Lease Assets (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.medalistreit.com/role/DisclosureSummaryOfSignificantAccountingPoliciesCashAndCashEquivalentsAndRestrictedCashDetails" id="DisclosureSummaryOfSignificantAccountingPoliciesCashAndCashEquivalentsAndRestrictedCashDetails">
        <link:definition>99940210 - Disclosure - Summary of Significant Accounting Policies - Cash and Cash Equivalents and Restricted Cash (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.medalistreit.com/role/DisclosureSummaryOfSignificantAccountingPoliciesCashAndCashEquivalentsAndRestrictedCashPropertyAndPurposeOfReservesDetails" id="DisclosureSummaryOfSignificantAccountingPoliciesCashAndCashEquivalentsAndRestrictedCashPropertyAndPurposeOfReservesDetails">
        <link:definition>99940211 - Disclosure - Summary of Significant Accounting Policies - Cash and Cash Equivalents and Restricted Cash - Property and Purpose of Reserves (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.medalistreit.com/role/DisclosureSummaryOfSignificantAccountingPoliciesRevenueRecognitionDetails" id="DisclosureSummaryOfSignificantAccountingPoliciesRevenueRecognitionDetails">
        <link:definition>99940213 - Disclosure - Summary of Significant Accounting Policies - Revenue Recognition (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.medalistreit.com/role/DisclosureSummaryOfSignificantAccountingPoliciesIncomeTaxesDetails" id="DisclosureSummaryOfSignificantAccountingPoliciesIncomeTaxesDetails">
        <link:definition>99940215 - Disclosure - Summary of Significant Accounting Policies - Income Taxes (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.medalistreit.com/role/DisclosureSummaryOfSignificantAccountingPoliciesReclassificationsDetails" id="DisclosureSummaryOfSignificantAccountingPoliciesReclassificationsDetails">
        <link:definition>99940216 - Disclosure - Summary of Significant Accounting Policies - Reclassifications (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.medalistreit.com/role/DisclosureSummaryOfSignificantAccountingPoliciesNoncontrollingInterestsDetails" id="DisclosureSummaryOfSignificantAccountingPoliciesNoncontrollingInterestsDetails">
        <link:definition>99940217 - Disclosure - Summary of Significant Accounting Policies - Noncontrolling Interests (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.medalistreit.com/role/DisclosureInvestmentPropertiesDeferredCostsNetOfDepreciationDetails" id="DisclosureInvestmentPropertiesDeferredCostsNetOfDepreciationDetails">
        <link:definition>99940302 - Disclosure - Investment Properties - Deferred costs, net of depreciation (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.medalistreit.com/role/DisclosureInvestmentPropertiesAssetsHeldForSaleAndLiabilitiesAssociatedWithAssetsHeldForSaleDetails" id="DisclosureInvestmentPropertiesAssetsHeldForSaleAndLiabilitiesAssociatedWithAssetsHeldForSaleDetails">
        <link:definition>99940303 - Disclosure - Investment Properties - Assets held for sale and liabilities associated with assets held for sale (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.medalistreit.com/role/DisclosureInvestmentPropertiesSaleOfInvestmentPropertyDetails" id="DisclosureInvestmentPropertiesSaleOfInvestmentPropertyDetails">
        <link:definition>99940304 - Disclosure - Investment Properties - Sale of investment property (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.medalistreit.com/role/DisclosureInvestmentPropertiesAdditionalInformationDetails" id="DisclosureInvestmentPropertiesAdditionalInformationDetails">
        <link:definition>99940306 - Disclosure - Investment Properties - Additional Information (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.medalistreit.com/role/DisclosureMandatorilyRedeemablePreferredStockDetails" id="DisclosureMandatorilyRedeemablePreferredStockDetails">
        <link:definition>99940401 - Disclosure - Mandatorily Redeemable Preferred Stock (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.medalistreit.com/role/DisclosureLoansPayableMortgagesPayablesNetDetails" id="DisclosureLoansPayableMortgagesPayablesNetDetails">
        <link:definition>99940501 - Disclosure - Loans Payable - Mortgages Payables, Net (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.medalistreit.com/role/DisclosureLoansPayableMortgagesPayablesAndParkwayMortgageLoanDetails" id="DisclosureLoansPayableMortgagesPayablesAndParkwayMortgageLoanDetails">
        <link:definition>99940502 - Disclosure - Loans Payable - Mortgages payables and Parkway mortgage loan (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.medalistreit.com/role/DisclosureLoansPayableMortgagesPayableNetAssociatedWithAssetsHeldForSaleDetails" id="DisclosureLoansPayableMortgagesPayableNetAssociatedWithAssetsHeldForSaleDetails">
        <link:definition>99940503 - Disclosure - Loans Payable - Mortgages payable, net, associated with assets held for sale (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.medalistreit.com/role/DisclosureLoansPayableFarmersLineOfCreditDetails" id="DisclosureLoansPayableFarmersLineOfCreditDetails">
        <link:definition>99940504 - Disclosure - Loans Payable - Farmers Line of Credit (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.medalistreit.com/role/DisclosureLoansPayableTeslaDstMortgageDetails" id="DisclosureLoansPayableTeslaDstMortgageDetails">
        <link:definition>99940505 - Disclosure - Loans Payable - Tesla DST Mortgage (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.medalistreit.com/role/DisclosureLoansPayableWellsFargoLineOfCreditDetails" id="DisclosureLoansPayableWellsFargoLineOfCreditDetails">
        <link:definition>99940506 - Disclosure - Loans Payable - Wells Fargo Line of Credit (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.medalistreit.com/role/DisclosureLoansPayableLossOnExtinguishmentOfDebtDetails" id="DisclosureLoansPayableLossOnExtinguishmentOfDebtDetails">
        <link:definition>99940507 - Disclosure - Loans Payable - Loss on Extinguishment of Debt (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.medalistreit.com/role/DisclosureLoansPayableInterestAccruedAndAccumulatedAmortizationOfCapitalizedIssuanceCostsDetails" id="DisclosureLoansPayableInterestAccruedAndAccumulatedAmortizationOfCapitalizedIssuanceCostsDetails">
        <link:definition>99940509 - Disclosure - Loans Payable - Interest accrued and accumulated amortization of capitalized issuance costs (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.medalistreit.com/role/DisclosureEquityAdditionalInformationDetails" id="DisclosureEquityAdditionalInformationDetails">
        <link:definition>99940701 - Disclosure - Equity - Additional Information (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.medalistreit.com/role/DisclosureEquityExchangeOfCommonSharesForOpUnitsDetails" id="DisclosureEquityExchangeOfCommonSharesForOpUnitsDetails">
        <link:definition>99940702 - Disclosure - Equity - Exchange of Common Shares for OP Units (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.medalistreit.com/role/DisclosureEquityCommonStockRepurchasePlanDetails" id="DisclosureEquityCommonStockRepurchasePlanDetails">
        <link:definition>99940703 - Disclosure - Equity - Common Stock Repurchase Plan (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.medalistreit.com/role/DisclosureEquity2018EquityIncentivePlanDetails" id="DisclosureEquity2018EquityIncentivePlanDetails">
        <link:definition>99940704 - Disclosure - Equity - 2018 Equity Incentive Plan (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.medalistreit.com/role/DisclosureEquityIncomeLossPerCommonShareDetails" id="DisclosureEquityIncomeLossPerCommonShareDetails">
        <link:definition>99940705 - Disclosure - Equity - Income (Loss) Per Common Share (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.medalistreit.com/role/DisclosureFairValueMeasurementsAssetsMeasuredOnRecurringBasisDetails" id="DisclosureFairValueMeasurementsAssetsMeasuredOnRecurringBasisDetails">
        <link:definition>99940802 - Disclosure - Fair Value Measurements - Assets measured on recurring basis (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.medalistreit.com/role/DisclosureFairValueMeasurementsAdditionalInformationDetails" id="DisclosureFairValueMeasurementsAdditionalInformationDetails">
        <link:definition>99940803 - Disclosure - Fair Value Measurements - Additional information (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.medalistreit.com/role/DisclosureCommitmentsAndContingenciesDetails" id="DisclosureCommitmentsAndContingenciesDetails">
        <link:definition>99940901 - Disclosure - Commitments and Contingencies (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.medalistreit.com/role/DisclosureRelatedPartyTransactionsExchangeOfCommonSharesForOpUnitsDetails" id="DisclosureRelatedPartyTransactionsExchangeOfCommonSharesForOpUnitsDetails">
        <link:definition>99941001 - Disclosure - Related Party Transactions - Exchange of Common Shares for OP Units (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.medalistreit.com/role/DisclosureSegmentInformationPropertyOperatingRevenuesOperatingExpensesAndInterestExpenseByProductTypeDetails" id="DisclosureSegmentInformationPropertyOperatingRevenuesOperatingExpensesAndInterestExpenseByProductTypeDetails">
        <link:definition>99941101 - Disclosure - Segment Information - Property Operating Revenues, operating expenses and interest expense by Product Type (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.medalistreit.com/role/DisclosureSegmentInformationReconciliationToNetIncomeLossFromOperationsDetails" id="DisclosureSegmentInformationReconciliationToNetIncomeLossFromOperationsDetails">
        <link:definition>99941102 - Disclosure - Segment Information - Reconciliation to net income (loss) from operations (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.medalistreit.com/role/DisclosureSegmentInformationReconciliationToTotalAssetsOnCondensedConsolidatedBalanceSheetDetails" id="DisclosureSegmentInformationReconciliationToTotalAssetsOnCondensedConsolidatedBalanceSheetDetails">
        <link:definition>99941103 - Disclosure - Segment Information - Reconciliation to total assets on condensed consolidated balance sheet (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.medalistreit.com/role/DisclosureSubsequentEventsDetails" id="DisclosureSubsequentEventsDetails">
        <link:definition>99941301 - Disclosure - Subsequent Events (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.medalistreit.com/role/StatementCondensedConsolidatedBalanceSheetsParenthetical" id="StatementCondensedConsolidatedBalanceSheetsParenthetical">
        <link:definition>995200105 - Statement - Condensed Consolidated Balance Sheets (Parenthetical)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.medalistreit.com/role/DisclosureOrganizationAndBasisOfPresentationAndConsolidation" id="DisclosureOrganizationAndBasisOfPresentationAndConsolidation">
        <link:definition>995210101 - Disclosure - Organization and Basis of Presentation and Consolidation</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.medalistreit.com/role/DisclosureSummaryOfSignificantAccountingPolicies" id="DisclosureSummaryOfSignificantAccountingPolicies">
        <link:definition>995210201 - Disclosure - Summary of Significant Accounting Policies</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.medalistreit.com/role/DisclosureInvestmentProperties" id="DisclosureInvestmentProperties">
        <link:definition>995210301 - Disclosure - Investment Properties</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.medalistreit.com/role/DisclosureMandatorilyRedeemablePreferredStock" id="DisclosureMandatorilyRedeemablePreferredStock">
        <link:definition>995210401 - Disclosure - Mandatorily Redeemable Preferred Stock</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.medalistreit.com/role/DisclosureLoansPayable" id="DisclosureLoansPayable">
        <link:definition>995210501 - Disclosure - Loans Payable</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.medalistreit.com/role/DisclosureRentalsUnderOperatingLeases" id="DisclosureRentalsUnderOperatingLeases">
        <link:definition>995210601 - Disclosure - Rentals under Operating Leases</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.medalistreit.com/role/DisclosureEquity" id="DisclosureEquity">
        <link:definition>995210701 - Disclosure - Equity</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.medalistreit.com/role/DisclosureFairValueMeasurements" id="DisclosureFairValueMeasurements">
        <link:definition>995210801 - Disclosure - Fair Value Measurements</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.medalistreit.com/role/DisclosureCommitmentsAndContingencies" id="DisclosureCommitmentsAndContingencies">
        <link:definition>995210901 - Disclosure - Commitments and Contingencies</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.medalistreit.com/role/DisclosureRelatedPartyTransactions" id="DisclosureRelatedPartyTransactions">
        <link:definition>995211001 - Disclosure - Related Party Transactions</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.medalistreit.com/role/DisclosureSegmentInformation" id="DisclosureSegmentInformation">
        <link:definition>995211101 - Disclosure - Segment Information</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.medalistreit.com/role/DisclosureIncomeTaxes" id="DisclosureIncomeTaxes">
        <link:definition>995211201 - Disclosure - Income Taxes</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.medalistreit.com/role/DisclosureSubsequentEvents" id="DisclosureSubsequentEvents">
        <link:definition>995211301 - Disclosure - Subsequent Events</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.medalistreit.com/role/DisclosureSummaryOfSignificantAccountingPoliciesPolicies" id="DisclosureSummaryOfSignificantAccountingPoliciesPolicies">
        <link:definition>99920202 - Disclosure - Summary of Significant Accounting Policies (Policies)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.medalistreit.com/role/DisclosureLoansPayableTables" id="DisclosureLoansPayableTables">
        <link:definition>99930503 - Disclosure - Loans Payable (Tables)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.medalistreit.com/role/DisclosureRentalsUnderOperatingLeasesTables" id="DisclosureRentalsUnderOperatingLeasesTables">
        <link:definition>99930603 - Disclosure - Rentals under Operating Leases (Tables)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.medalistreit.com/role/DisclosureEquityTables" id="DisclosureEquityTables">
        <link:definition>99930703 - Disclosure - Equity (Tables)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.medalistreit.com/role/DisclosureFairValueMeasurementsTables" id="DisclosureFairValueMeasurementsTables">
        <link:definition>99930803 - Disclosure - Fair Value Measurements (Tables)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.medalistreit.com/role/DisclosureSegmentInformationTables" id="DisclosureSegmentInformationTables">
        <link:definition>99931103 - Disclosure - Segment Information (Tables)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.medalistreit.com/role/DisclosureSummaryOfSignificantAccountingPoliciesCryptoAssetsBitcoinDetails" id="DisclosureSummaryOfSignificantAccountingPoliciesCryptoAssetsBitcoinDetails">
        <link:definition>99940212 - Disclosure - Summary of Significant Accounting Policies - Crypto assets (Bitcoin) (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.medalistreit.com/role/DisclosureSummaryOfSignificantAccountingPoliciesRentAndOtherReceivablesDetails" id="DisclosureSummaryOfSignificantAccountingPoliciesRentAndOtherReceivablesDetails">
        <link:definition>99940214 - Disclosure - Summary of Significant Accounting Policies - Rent and other receivables (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.medalistreit.com/role/DisclosureFairValueMeasurementsDetails" id="DisclosureFairValueMeasurementsDetails">
        <link:definition>99940801 - Disclosure - Fair Value Measurements (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:roleType roleURI="http://www.medalistreit.com/role/DisclosureIncomeTaxesDetails" id="DisclosureIncomeTaxesDetails">
        <link:definition>99941201 - Disclosure - Income Taxes (Details)</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
      </link:roleType>
      <link:linkbaseRef xlink:type="simple" xlink:href="mdrr-20260331_pre.xml" xlink:role="http://www.xbrl.org/2003/role/presentationLinkbaseRef" xlink:arcrole="http://www.w3.org/1999/xlink/properties/linkbase" />
      <link:linkbaseRef xlink:type="simple" xlink:href="mdrr-20260331_cal.xml" xlink:role="http://www.xbrl.org/2003/role/calculationLinkbaseRef" xlink:arcrole="http://www.w3.org/1999/xlink/properties/linkbase" />
      <link:linkbaseRef xlink:type="simple" xlink:href="mdrr-20260331_def.xml" xlink:role="http://www.xbrl.org/2003/role/definitionLinkbaseRef" xlink:arcrole="http://www.w3.org/1999/xlink/properties/linkbase" />
      <link:linkbaseRef xlink:type="simple" xlink:href="mdrr-20260331_lab.xml" xlink:role="http://www.xbrl.org/2003/role/labelLinkbaseRef" xlink:arcrole="http://www.w3.org/1999/xlink/properties/linkbase" />
    </xsd:appinfo>
  </xsd:annotation>
  <xsd:import namespace="https://xbrl.org/2023/calculation-1.1" schemaLocation="https://www.xbrl.org/2023/calculation-1.1.xsd" />
  <xsd:import namespace="http://xbrl.sec.gov/ecd/2025" schemaLocation="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd" />
  <xsd:import namespace="http://xbrl.sec.gov/dei/2025" schemaLocation="https://xbrl.sec.gov/dei/2025/dei-2025.xsd" />
  <xsd:import namespace="http://www.xbrl.org/2003/instance" schemaLocation="http://www.xbrl.org/2003/xbrl-instance-2003-12-31.xsd" />
  <xsd:import namespace="http://xbrl.org/2005/xbrldt" schemaLocation="http://www.xbrl.org/2005/xbrldt-2005.xsd" />
  <xsd:import namespace="http://www.xbrl.org/2009/role/negated" schemaLocation="http://www.xbrl.org/lrr/role/negated-2009-12-16.xsd" />
  <xsd:import namespace="http://www.xbrl.org/2009/role/net" schemaLocation="http://www.xbrl.org/lrr/role/net-2009-12-16.xsd" />
  <xsd:import namespace="http://www.xbrl.org/dtr/type/2024-01-31" schemaLocation="https://www.xbrl.org/dtr/type/2024-01-31/types.xsd" />
  <xsd:import namespace="http://fasb.org/us-roles/2025" schemaLocation="https://xbrl.fasb.org/us-gaap/2025/elts/us-roles-2025.xsd" />
  <xsd:import namespace="http://fasb.org/us-gaap/2025" schemaLocation="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd" />
  <xsd:import namespace="http://fasb.org/srt/2025" schemaLocation="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd" />
  <xsd:import namespace="http://xbrl.sec.gov/country/2025" schemaLocation="https://xbrl.sec.gov/country/2025/country-2025.xsd" />
  <xsd:import namespace="http://xbrl.sec.gov/ecd-sub/2025" schemaLocation="https://xbrl.sec.gov/ecd/2025/ecd-sub-2025.xsd" />
  <xsd:element name="DebtInstrumentDefeasanceCosts" id="mdrr_DebtInstrumentDefeasanceCosts" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="debit" />
  <xsd:element name="DebtInstrumentPrepaymentFees" id="mdrr_DebtInstrumentPrepaymentFees" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="debit" />
  <xsd:element name="PercentageOfBeneficialOwnershipInterestSoldClassTwo" id="mdrr_PercentageOfBeneficialOwnershipInterestSoldClassTwo" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="TeslaDstPropertyMember" id="mdrr_TeslaDstPropertyMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="TeslaDstMortgageLoanMember" id="mdrr_TeslaDstMortgageLoanMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="HanoverSquarePropertyMember" id="mdrr_HanoverSquarePropertyMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration" />
  <xsd:element name="OfferingCosts" id="mdrr_OfferingCosts" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" abstract="false" nillable="true" xbrli:balance="debit" xbrli:periodType="instant" />
  <xsd:element id="mdrr_LegalAccountingAndOtherProfessionalFees" name="LegalAccountingAndOtherProfessionalFees" nillable="true" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" xbrli:balance="debit" />
  <xsd:element name="StockIssuanceCost" id="mdrr_StockIssuanceCost" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" abstract="false" nillable="true" xbrli:balance="debit" xbrli:periodType="duration" />
  <xsd:element name="PaymentsToAcquireInvestmentProperty" id="mdrr_PaymentsToAcquireInvestmentProperty" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" abstract="false" nillable="true" xbrli:balance="credit" xbrli:periodType="duration" />
  <xsd:element name="IntangibleAssetsAndLiabilitiesNetPolicyTextBlock" id="mdrr_IntangibleAssetsAndLiabilitiesNetPolicyTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" abstract="false" nillable="true" xbrli:periodType="duration" />
  <xsd:element name="ScheduleOfIntangibleAssetsAndLiabilitiesNetTableTextBlock" id="mdrr_ScheduleOfIntangibleAssetsAndLiabilitiesNetTableTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" abstract="false" nillable="true" xbrli:periodType="duration" />
  <xsd:element name="ScheduleOfAdjustmentsToRentalRevenueRelatedToAboveAndBelowMarketLeasesTableTextBlock" id="mdrr_ScheduleOfAdjustmentsToRentalRevenueRelatedToAboveAndBelowMarketLeasesTableTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" abstract="false" nillable="true" xbrli:periodType="duration" />
  <xsd:element name="ScheduleOfAboveAndBelowMarketLeaseFutureAmortizationIncomeTableTextBlock" id="mdrr_ScheduleOfAboveAndBelowMarketLeaseFutureAmortizationIncomeTableTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" abstract="false" nillable="true" xbrli:periodType="duration" />
  <xsd:element name="ScheduleOfMortgagesPayablesTableTextBlock" id="mdrr_ScheduleOfMortgagesPayablesTableTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" abstract="false" nillable="true" xbrli:periodType="duration" />
  <xsd:element name="ScheduleOfPrincipalRepaymentsOnIndebtednessTableTextBlock" id="mdrr_ScheduleOfPrincipalRepaymentsOnIndebtednessTableTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" abstract="false" nillable="true" xbrli:periodType="duration" />
  <xsd:element name="ScheduleOfDividendsAndDistributionsToNoncontrollingInterestsPaidTableTextBlock" id="mdrr_ScheduleOfDividendsAndDistributionsToNoncontrollingInterestsPaidTableTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" abstract="false" nillable="true" xbrli:periodType="duration" />
  <xsd:element name="OrganizationAndBasisOfPresentationAndConsolidationTable" id="mdrr_OrganizationAndBasisOfPresentationAndConsolidationTable" type="xbrli:stringItemType" substitutionGroup="xbrldt:hypercubeItem" abstract="true" nillable="true" xbrli:periodType="duration" />
  <xsd:element name="FranklinSquarePropertyMember" id="mdrr_FranklinSquarePropertyMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration" />
  <xsd:element name="OrganizationAndBasisOfPresentationAndConsolidationLineItems" id="mdrr_OrganizationAndBasisOfPresentationAndConsolidationLineItems" type="xbrli:stringItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration" />
  <xsd:element name="LeasingCommissionsMember" id="mdrr_LeasingCommissionsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration" />
  <xsd:element name="LegalAndMarketingCostsMember" id="mdrr_LegalAndMarketingCostsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration" />
  <xsd:element name="SecurityDeposits" id="mdrr_SecurityDeposits" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" abstract="false" nillable="true" xbrli:balance="debit" xbrli:periodType="instant" />
  <xsd:element name="AccountingPoliciesTable" id="mdrr_AccountingPoliciesTable" type="xbrli:stringItemType" substitutionGroup="xbrldt:hypercubeItem" abstract="true" nillable="true" xbrli:periodType="duration" />
  <xsd:element name="AccountingPoliciesLineItems" id="mdrr_AccountingPoliciesLineItems" type="xbrli:stringItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration" />
  <xsd:element name="PercentageOfOutstandingOperatingPartnershipUnits" id="mdrr_PercentageOfOutstandingOperatingPartnershipUnits" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" abstract="false" nillable="true" xbrli:periodType="duration" />
  <xsd:element name="CapitalizedLeasingCommissionsNet" id="mdrr_CapitalizedLeasingCommissionsNet" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" abstract="false" nillable="true" xbrli:balance="debit" xbrli:periodType="instant" />
  <xsd:element name="InvestmentPropertyMember" id="mdrr_InvestmentPropertyMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration" />
  <xsd:element name="CapitalizedTenantImprovements" id="mdrr_CapitalizedTenantImprovements" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" abstract="false" nillable="true" xbrli:balance="debit" xbrli:periodType="duration" />
  <xsd:element name="DepreciationOnCapitalizedTenantImprovements" id="mdrr_DepreciationOnCapitalizedTenantImprovements" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" abstract="false" nillable="true" xbrli:balance="debit" xbrli:periodType="duration" />
  <xsd:element name="CapitalizedLeasingCommissions" id="mdrr_CapitalizedLeasingCommissions" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" abstract="false" nillable="true" xbrli:balance="credit" xbrli:periodType="duration" />
  <xsd:element name="AmortizationOfCapitalizedLeasingCommissions" id="mdrr_AmortizationOfCapitalizedLeasingCommissions" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" abstract="false" nillable="true" xbrli:balance="debit" xbrli:periodType="duration" />
  <xsd:element id="mdrr_MortgagePayableGross" name="MortgagePayableGross" nillable="true" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" xbrli:balance="credit" />
  <xsd:element name="DebtServiceCoverageRatio" id="mdrr_DebtServiceCoverageRatio" type="xbrli:stringItemType" substitutionGroup="xbrli:item" abstract="false" nillable="true" xbrli:periodType="duration" />
  <xsd:element name="EquityTable" id="mdrr_EquityTable" type="xbrli:stringItemType" substitutionGroup="xbrldt:hypercubeItem" abstract="true" nillable="true" xbrli:periodType="duration" />
  <xsd:element name="OperatingPartnershipUnitHoldersMember" id="mdrr_OperatingPartnershipUnitHoldersMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration" />
  <xsd:element name="EquityLineItems" id="mdrr_EquityLineItems" type="xbrli:stringItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration" />
  <xsd:element name="SharesAuthorized" id="mdrr_SharesAuthorized" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" abstract="false" nillable="true" xbrli:periodType="instant" />
  <xsd:element name="TwoThousandEighteenEquityIncentivePlanMember" id="mdrr_TwoThousandEighteenEquityIncentivePlanMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration" />
  <xsd:element name="FullyDilutedSharesOfCommonSharesPercent" id="mdrr_FullyDilutedSharesOfCommonSharesPercent" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" abstract="false" nillable="true" xbrli:periodType="duration" />
  <xsd:element name="NumberOfEmployees" id="mdrr_NumberOfEmployees" type="xbrli:integerItemType" substitutionGroup="xbrli:item" abstract="false" nillable="true" xbrli:periodType="duration" />
  <xsd:element name="FairValueOfGrants" id="mdrr_FairValueOfGrants" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" abstract="false" nillable="true" xbrli:balance="debit" xbrli:periodType="duration" />
  <xsd:element name="PeriodRentAxis" id="mdrr_PeriodRentAxis" type="xbrli:stringItemType" substitutionGroup="xbrldt:dimensionItem" abstract="true" nillable="true" xbrli:periodType="duration" />
  <xsd:element name="PeriodRentDomain" id="mdrr_PeriodRentDomain" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration" />
  <xsd:element name="RetailCenterPropertiesMember" id="mdrr_RetailCenterPropertiesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration" />
  <xsd:element id="mdrr_AreaOfBuilding" name="AreaOfBuilding" nillable="true" type="dtr-types:areaItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" />
  <xsd:element id="mdrr_AshleyPlazaPropertyMember" name="AshleyPlazaPropertyMember" nillable="true" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" xbrli:periodType="duration" />
  <xsd:element id="mdrr_BrookfieldCenterPropertyMember" name="BrookfieldCenterPropertyMember" nillable="true" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" xbrli:periodType="duration" />
  <xsd:element id="mdrr_MortgagesPayableMember" name="MortgagesPayableMember" nillable="true" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" xbrli:periodType="duration" />
  <xsd:element id="mdrr_InvestmentPropertiesTable" name="InvestmentPropertiesTable" nillable="true" type="xbrli:stringItemType" substitutionGroup="xbrldt:hypercubeItem" abstract="true" xbrli:periodType="duration" />
  <xsd:element id="mdrr_PropertyrevenuesMember" name="PropertyrevenuesMember" nillable="true" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" xbrli:periodType="duration" />
  <xsd:element id="mdrr_ScheduleOfPropertyAndPurposeOfReserveTableTextBlock" name="ScheduleOfPropertyAndPurposeOfReserveTableTextBlock" nillable="true" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" />
  <xsd:element id="mdrr_LeasingCostsMember" name="LeasingCostsMember" nillable="true" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" xbrli:periodType="duration" />
  <xsd:element id="mdrr_MinorityInterestOwnershipPercentageByNoncontrollingOwnersExchangedNumberOfOperatingPartnershipUnitsIssued" name="MinorityInterestOwnershipPercentageByNoncontrollingOwnersExchangedNumberOfOperatingPartnershipUnitsIssued" nillable="true" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" />
  <xsd:element id="mdrr_ScheduleOfInterestExpenseTableTextBlock" name="ScheduleOfInterestExpenseTableTextBlock" nillable="true" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" />
  <xsd:element id="mdrr_ScheduleOfInterestAccruedAndAccumulatedAmortizationOfCapitalizedIssuanceCostsTableTextBlock" name="ScheduleOfInterestAccruedAndAccumulatedAmortizationOfCapitalizedIssuanceCostsTableTextBlock" nillable="true" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" />
  <xsd:element id="mdrr_OtherInterestPayableMember" name="OtherInterestPayableMember" nillable="true" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" xbrli:periodType="duration" />
  <xsd:element id="mdrr_InterestRateProtectionTransactionPayments" name="InterestRateProtectionTransactionPayments" nillable="true" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" xbrli:balance="credit" />
  <xsd:element id="mdrr_AmortizationOfDeferredFinancingCostsOnMandatorilyRedeemablePreferredStock" name="AmortizationOfDeferredFinancingCostsOnMandatorilyRedeemablePreferredStock" nillable="true" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" xbrli:balance="debit" abstract="false" />
  <xsd:element id="mdrr_MinorityInterestOwnershipPercentageByNoncontrollingOwnersExchangedForOperatingPartnershipUnitsIssuedAmount" name="MinorityInterestOwnershipPercentageByNoncontrollingOwnersExchangedForOperatingPartnershipUnitsIssuedAmount" nillable="true" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" xbrli:balance="credit" />
  <xsd:element id="mdrr_BrookfieldCenterMember" name="BrookfieldCenterMember" nillable="true" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" xbrli:periodType="duration" />
  <xsd:element id="mdrr_MandatorilyRedeemablePreferredStockDisclosureAbstract" name="MandatorilyRedeemablePreferredStockDisclosureAbstract" nillable="true" type="xbrli:stringItemType" substitutionGroup="xbrli:item" abstract="true" xbrli:periodType="duration" />
  <xsd:element id="mdrr_MandatorilyRedeemablePreferredStockDisclosureTextBlock" name="MandatorilyRedeemablePreferredStockDisclosureTextBlock" nillable="true" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" />
  <xsd:element id="mdrr_CapitalizedTenantImprovementsAcquisitionCostAllocationMember" name="CapitalizedTenantImprovementsAcquisitionCostAllocationMember" nillable="true" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" xbrli:periodType="duration" />
  <xsd:element id="mdrr_CapitalizedTenantImprovementsIncurredSubsequentToAcquisitionMember" name="CapitalizedTenantImprovementsIncurredSubsequentToAcquisitionMember" nillable="true" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" xbrli:periodType="duration" />
  <xsd:element id="mdrr_FederalDepositInsuranceCompanyMember" name="FederalDepositInsuranceCompanyMember" nillable="true" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" xbrli:periodType="duration" />
  <xsd:element id="mdrr_DebtInstrumentAmortizationSchedule" name="DebtInstrumentAmortizationSchedule" nillable="true" type="xbrli:durationItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" />
  <xsd:element id="mdrr_InvestmentPropertiesMember" name="InvestmentPropertiesMember" nillable="true" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" xbrli:periodType="duration" />
  <xsd:element id="mdrr_OfferingCostsMember" name="OfferingCostsMember" nillable="true" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" xbrli:periodType="duration" />
  <xsd:element id="mdrr_BelowMarketLeaseAmortizationIncomeAfterYearFour" name="BelowMarketLeaseAmortizationIncomeAfterYearFour" nillable="true" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" xbrli:balance="credit" />
  <xsd:element id="mdrr_AssetsHeldForSalePolicyTextBlock" name="AssetsHeldForSalePolicyTextBlock" nillable="true" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" />
  <xsd:element id="mdrr_NonControllingInterestsOperatingPartnershipUnitsOutstanding" name="NonControllingInterestsOperatingPartnershipUnitsOutstanding" nillable="true" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" />
  <xsd:element id="mdrr_MortgagesAssociatedWithAssetsHeldForSaleMember" name="MortgagesAssociatedWithAssetsHeldForSaleMember" nillable="true" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" xbrli:periodType="duration" />
  <xsd:element id="mdrr_AmortizationOfLoanCosts" name="AmortizationOfLoanCosts" nillable="true" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" xbrli:balance="debit" />
  <xsd:element id="mdrr_LancerCenterShoppingCenterMember" name="LancerCenterShoppingCenterMember" nillable="true" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" xbrli:periodType="duration" />
  <xsd:element id="mdrr_LancerCenterPropertyMember" name="LancerCenterPropertyMember" nillable="true" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" xbrli:periodType="duration" />
  <xsd:element name="GreenbrierBusinessCenterPropertyMember" id="mdrr_GreenbrierBusinessCenterPropertyMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="MaturityTerm" id="mdrr_MaturityTerm" type="xbrli:durationItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="ParkwayPropertyMember" id="mdrr_ParkwayPropertyMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="ScheduleOfOperatingResultsOfRealEstateInvestmentPropertyIncludedInContinuingOperationsTableTextBlock" id="mdrr_ScheduleOfOperatingResultsOfRealEstateInvestmentPropertyIncludedInContinuingOperationsTableTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="PercentageOnIncomeFromContinuingOperationsAttributableToNonControllingEntity" id="mdrr_PercentageOnIncomeFromContinuingOperationsAttributableToNonControllingEntity" type="xbrli:pureItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="StockRepurchaseProgramMaximumPricePerShare" id="mdrr_StockRepurchaseProgramMaximumPricePerShare" type="dtr-types:perShareItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="DebtInstrumentsNetWorthCovenant" id="mdrr_DebtInstrumentsNetWorthCovenant" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" xbrli:balance="debit" />
  <xsd:element name="DebtInstrumentsMinimumLiquidAssetsCovenant" id="mdrr_DebtInstrumentsMinimumLiquidAssetsCovenant" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" xbrli:balance="debit" />
  <xsd:element name="MonthlyPaymentsTillSpecifiedDateMember" id="mdrr_MonthlyPaymentsTillSpecifiedDateMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="MonthlyPaymentsAfterSpecifiedDateMember" id="mdrr_MonthlyPaymentsAfterSpecifiedDateMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="ParkwayCenterMember" id="mdrr_ParkwayCenterMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="WeightedAverageNumberOfDilutedSharesOutstandingEffectOfConversion" id="mdrr_WeightedAverageNumberOfDilutedSharesOutstandingEffectOfConversion" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="ShareRetirementPolicyTextBlock" id="mdrr_ShareRetirementPolicyTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="CommonStockRepurchasePlanMember" id="mdrr_CommonStockRepurchasePlanMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="AmortizationOfIntangibleAssetsWriteOff" id="mdrr_AmortizationOfIntangibleAssetsWriteOff" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="debit" />
  <xsd:element name="ScheduleOfCommonStockRepurchasePlanTableTextBlock" id="mdrr_ScheduleOfCommonStockRepurchasePlanTableTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="FiniteLivedIntangibleAssetsAmortizationExpenseAfterYearFour" id="mdrr_FiniteLivedIntangibleAssetsAmortizationExpenseAfterYearFour" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" xbrli:balance="debit" />
  <xsd:element name="PercentageOfIncomeRequiredToBeDistributedToShareholders" id="mdrr_PercentageOfIncomeRequiredToBeDistributedToShareholders" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="InvestmentInRealPropertyPolicyTextBlock" id="mdrr_InvestmentInRealPropertyPolicyTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="SalisburyMarketplacePropertyMember" id="mdrr_SalisburyMarketplacePropertyMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="WellsFargoFacilityMember" id="mdrr_WellsFargoFacilityMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="WellFargoLineOfCreditMember" id="mdrr_WellFargoLineOfCreditMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="DebtInstrumentsMinimumDebtYieldCovenant" id="mdrr_DebtInstrumentsMinimumDebtYieldCovenant" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" />
  <xsd:element name="OperatingPartnershipMember" id="mdrr_OperatingPartnershipMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="AssetAcquisitionLeasedPercentage" id="mdrr_AssetAcquisitionLeasedPercentage" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" />
  <xsd:element name="BelowMarketLeaseAssetAcquired" id="mdrr_BelowMarketLeaseAssetAcquired" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" xbrli:balance="credit" />
  <xsd:element name="PaymentsToAcquireAssetsGross" id="mdrr_PaymentsToAcquireAssetsGross" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="credit" />
  <xsd:element name="AverageSharePriceForShareRepurchases" id="mdrr_AverageSharePriceForShareRepurchases" type="dtr-types:perShareItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="CommonUnitsEligibleForConversion" id="mdrr_CommonUnitsEligibleForConversion" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" />
  <xsd:element name="NumberOfDirectorsWhoReceivedGrants" id="mdrr_NumberOfDirectorsWhoReceivedGrants" type="xbrli:integerItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="CommonStockIncrementalSharesReservedForFutureIssuancePercentage" id="mdrr_CommonStockIncrementalSharesReservedForFutureIssuancePercentage" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" />
  <xsd:element name="RevenueRecognizedFromReimbursementOfCommonAreaMaintenanceExpenses" id="mdrr_RevenueRecognizedFromReimbursementOfCommonAreaMaintenanceExpenses" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="credit" />
  <xsd:element name="ClemsonBestWesternHotelPropertyAndHamptonInnPropertyMember" id="mdrr_ClemsonBestWesternHotelPropertyAndHamptonInnPropertyMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="IntercontinentalExchangeLondonInterbankOfferedRateIceLiborMember" id="mdrr_IntercontinentalExchangeLondonInterbankOfferedRateIceLiborMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="LeaseTerminationFeeIncome" id="mdrr_LeaseTerminationFeeIncome" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="credit" />
  <xsd:element name="OtherIncomeNonOperating" id="mdrr_OtherIncomeNonOperating" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="credit" />
  <xsd:element name="CommonUnitToCommonStockConversionRatio" id="mdrr_CommonUnitToCommonStockConversionRatio" type="xbrli:pureItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" />
  <xsd:element name="MaintenanceAndLeasingCostReserveMember" id="mdrr_MaintenanceAndLeasingCostReserveMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="WriteOffOfCapitalizedTenantImprovements" id="mdrr_WriteOffOfCapitalizedTenantImprovements" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="credit" />
  <xsd:element name="DebtInstrumentThresholdChangeInInterestPayableDuringSixMonths" id="mdrr_DebtInstrumentThresholdChangeInInterestPayableDuringSixMonths" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="DebtInstrumentThresholdChangeInInterestPayableDuringTwelveMonths" id="mdrr_DebtInstrumentThresholdChangeInInterestPayableDuringTwelveMonths" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="CapitalizedLeasingCommissionsWriteOff" id="mdrr_CapitalizedLeasingCommissionsWriteOff" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="debit" />
  <xsd:element name="DividendsPaidReportingPeriodAxis" id="mdrr_DividendsPaidReportingPeriodAxis" type="xbrli:stringItemType" substitutionGroup="xbrldt:dimensionItem" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="DividendsPaidReportingPeriodDomain" id="mdrr_DividendsPaidReportingPeriodDomain" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="MortgagesPayableNetAssociatedWithAssetsHeldForSale" id="mdrr_MortgagesPayableNetAssociatedWithAssetsHeldForSale" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" xbrli:balance="credit" />
  <xsd:element name="Rule10b51arrmodifiedFlag" id="mdrr_Rule10b51arrmodifiedFlag" type="xbrli:booleanItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="Nonrule10b51arrmodifiedFlag" id="mdrr_Nonrule10b51arrmodifiedFlag" type="xbrli:booleanItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="ScheduleOfMortgagesPayableNetAssociatedWithAssetsHeldForSaleTableTextBlock" id="mdrr_ScheduleOfMortgagesPayableNetAssociatedWithAssetsHeldForSaleTableTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="CitibankPropertyMember" id="mdrr_CitibankPropertyMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="OtherExpenseNonOperating" id="mdrr_OtherExpenseNonOperating" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="debit" />
  <xsd:element name="GoingConcernPolicyTextBlock" id="mdrr_GoingConcernPolicyTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="SingleTenantNetLeaseMember" id="mdrr_SingleTenantNetLeaseMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="AmortizationOfLeaseIncentive" id="mdrr_AmortizationOfLeaseIncentive" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="debit" />
  <xsd:element name="OperatingPartnershipUnitsIssuedForCompensationServices" id="mdrr_OperatingPartnershipUnitsIssuedForCompensationServices" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="PresidentAndChiefExecutiveOfficerMember" id="mdrr_PresidentAndChiefExecutiveOfficerMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="HanoverSquareOutparcelMember" id="mdrr_HanoverSquareOutparcelMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="EastCoastWingsPropertyMember" id="mdrr_EastCoastWingsPropertyMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="TMobilePropertyMember" id="mdrr_TMobilePropertyMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="LancerOutparcelMember" id="mdrr_LancerOutparcelMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="NonControllingInterestsOperatingPartnershipUnitsConvertibleIntoCommonShares" id="mdrr_NonControllingInterestsOperatingPartnershipUnitsConvertibleIntoCommonShares" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" />
  <xsd:element name="AssetAcquisitionConsiderationTransferredNumberOfOperatingPartnershipUnitsIssued" id="mdrr_AssetAcquisitionConsiderationTransferredNumberOfOperatingPartnershipUnitsIssued" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="AssetAcquisitionConsiderationTransferredNumberOfOperatingPartnershipUnitsIssuedPricePerUnit" id="mdrr_AssetAcquisitionConsiderationTransferredNumberOfOperatingPartnershipUnitsIssuedPricePerUnit" type="dtr-types:perShareItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="NumberOfUndevelopedRealEstateProperties" id="mdrr_NumberOfUndevelopedRealEstateProperties" type="xbrli:integerItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" />
  <xsd:element name="UndevelopedRealEstatePropertiesMember" id="mdrr_UndevelopedRealEstatePropertiesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="LessorOperatingLeasePaymentsToBeReceivedAfterFourYears" id="mdrr_LessorOperatingLeasePaymentsToBeReceivedAfterFourYears" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" xbrli:balance="debit" />
  <xsd:element name="AssetAcquisitions2024Member" id="mdrr_AssetAcquisitions2024Member" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="WellsFargoMortgageFacilityMember" id="mdrr_WellsFargoMortgageFacilityMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="ThresholdUsedForCalculatingConcentrationOfRisk" id="mdrr_ThresholdUsedForCalculatingConcentrationOfRisk" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="AdditionsToTenantImprovementsDueToAcquisitions" id="mdrr_AdditionsToTenantImprovementsDueToAcquisitions" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="debit" />
  <xsd:element name="LeaseIntangiblesAcquired" id="mdrr_LeaseIntangiblesAcquired" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" xbrli:balance="debit" />
  <xsd:element name="DividendsAndDistributions" id="mdrr_DividendsAndDistributions" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="debit" />
  <xsd:element name="PaymentOfDividendsAndDistributions" id="mdrr_PaymentOfDividendsAndDistributions" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="credit" />
  <xsd:element name="FinancialInstrumentsSubjectToMandatoryRedemptionSettlementTermsGainLossOnRedemption" id="mdrr_FinancialInstrumentsSubjectToMandatoryRedemptionSettlementTermsGainLossOnRedemption" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="credit" />
  <xsd:element name="PaymentsForRepurchaseOfMandatorilyRedeemablePreferredStock" id="mdrr_PaymentsForRepurchaseOfMandatorilyRedeemablePreferredStock" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="credit" />
  <xsd:element name="UnitedRentalsPropertyMember" id="mdrr_UnitedRentalsPropertyMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="BuffaloWildWingsPropertyMember" id="mdrr_BuffaloWildWingsPropertyMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="NetOperatingIncomeAdjustedForInterestExpense" id="mdrr_NetOperatingIncomeAdjustedForInterestExpense" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="credit" />
  <xsd:element name="ShareBasedPaymentArrangement2025CompensationMember" id="mdrr_ShareBasedPaymentArrangement2025CompensationMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="InterestExpenseExcludingMortgageInterest" id="mdrr_InterestExpenseExcludingMortgageInterest" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="debit" />
  <xsd:element name="AssetsHeldByMinorityInterest" id="mdrr_AssetsHeldByMinorityInterest" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" xbrli:balance="debit" />
  <xsd:element name="AssetHeldByParent" id="mdrr_AssetHeldByParent" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" xbrli:balance="debit" />
  <xsd:element name="AssetAcquisitionConsiderationTransferredOperatingPartnershipUnit" id="mdrr_AssetAcquisitionConsiderationTransferredOperatingPartnershipUnit" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="credit" />
  <xsd:element name="BuffaloWildWingsPropertyAndUnitedRentalsPropertyMember" id="mdrr_BuffaloWildWingsPropertyAndUnitedRentalsPropertyMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="AssetAcquisitions2025Member" id="mdrr_AssetAcquisitions2025Member" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="Mr.KavanaughMember" id="mdrr_Mr.KavanaughMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="Mr.MessierMember" id="mdrr_Mr.MessierMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="CostOfBenefitsGrantedOrCreditForBenefitsReducedInPlanAmendmentMember" id="mdrr_CostOfBenefitsGrantedOrCreditForBenefitsReducedInPlanAmendmentMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="TransferOfIntangibleAssets" id="mdrr_TransferOfIntangibleAssets" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="debit" />
  <xsd:element name="TransferOfIntangibleLiabilities" id="mdrr_TransferOfIntangibleLiabilities" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="credit" />
  <xsd:element name="CryptoAssetPolicyPolicyTextBlock" id="mdrr_CryptoAssetPolicyPolicyTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="CryptoAssetNumberOfUnitsPurchased" id="mdrr_CryptoAssetNumberOfUnitsPurchased" type="xbrli:pureItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="CryptoAssetAveragePurchasePrice" id="mdrr_CryptoAssetAveragePurchasePrice" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="debit" />
  <xsd:element name="CryptoAssetPurchaseTransactionFees" id="mdrr_CryptoAssetPurchaseTransactionFees" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="debit" />
  <xsd:element name="AccumulatedAmortizationTransferredToAssetsHeldForSale" id="mdrr_AccumulatedAmortizationTransferredToAssetsHeldForSale" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="debit" />
  <xsd:element name="CapitalizedTenantImprovementsFromAcquisitionCostAllocationTransferredToAssetsHeldForSale" id="mdrr_CapitalizedTenantImprovementsFromAcquisitionCostAllocationTransferredToAssetsHeldForSale" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="credit" />
  <xsd:element name="CapitalizedLeasingCommissionsTransferredToAssetsHeldForSale" id="mdrr_CapitalizedLeasingCommissionsTransferredToAssetsHeldForSale" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="credit" />
  <xsd:element name="DisposalGroupIncludingDiscontinuedOperationInvestmentPropertiesNet" id="mdrr_DisposalGroupIncludingDiscontinuedOperationInvestmentPropertiesNet" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" xbrli:balance="debit" />
  <xsd:element name="MortgagesPayableAssociatedWithAssetsHeldForSaleMember" id="mdrr_MortgagesPayableAssociatedWithAssetsHeldForSaleMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="AmountTransferredCapitalizedTenantImprovementsNetOfAccumulatedDepreciation" id="mdrr_AmountTransferredCapitalizedTenantImprovementsNetOfAccumulatedDepreciation" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="credit" />
  <xsd:element name="StockExchangedDuringPeriodValueForOperatingPartnershipUnits" id="mdrr_StockExchangedDuringPeriodValueForOperatingPartnershipUnits" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="debit" />
  <xsd:element name="StockExchangedDuringPeriodSharesForOperatingPartnershipUnits" id="mdrr_StockExchangedDuringPeriodSharesForOperatingPartnershipUnits" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="ExchangeOfCommonStockConversionRatio" id="mdrr_ExchangeOfCommonStockConversionRatio" type="xbrli:pureItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" />
  <xsd:element name="TeslaPensacolaPropertyMember" id="mdrr_TeslaPensacolaPropertyMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="FarmerSLineOfCreditMember" id="mdrr_FarmerSLineOfCreditMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="AssetAcquisitionConsiderationTransferredWithProceedsFromLineOfCredit" id="mdrr_AssetAcquisitionConsiderationTransferredWithProceedsFromLineOfCredit" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="credit" />
  <xsd:element name="InterestExpenseIncomeOther" id="mdrr_InterestExpenseIncomeOther" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="debit" />
  <xsd:element name="PercentageOfBeneficialOwnershipInterestToBeSold" id="mdrr_PercentageOfBeneficialOwnershipInterestToBeSold" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="PercentageOfBeneficialOwnershipInterestSoldInOneXxvDst" id="mdrr_PercentageOfBeneficialOwnershipInterestSoldInOneXxvDst" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="MdrrXxvDst1Member" id="mdrr_MdrrXxvDst1Member" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="StockRepurchasedDuringPeriodFees" id="mdrr_StockRepurchasedDuringPeriodFees" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="debit" />
  <xsd:element name="DebtInstrumentVariableInterestRate" id="mdrr_DebtInstrumentVariableInterestRate" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" />
  <xsd:element name="DerivativePaymentOfAccruedInterest" id="mdrr_DerivativePaymentOfAccruedInterest" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="credit" />
  <xsd:element name="OperatingExpensesExcludingDepreciationDepletionAndAmortization" id="mdrr_OperatingExpensesExcludingDepreciationDepletionAndAmortization" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="debit" />
  <xsd:element name="DebtInstrumentMinimumDebtServiceCoverageRation" id="mdrr_DebtInstrumentMinimumDebtServiceCoverageRation" type="xbrli:pureItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" />
  <xsd:element name="ConversionOfOperatingPartnershipUnitsToCommonShares" id="mdrr_ConversionOfOperatingPartnershipUnitsToCommonShares" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="debit" />
  <xsd:element name="OperatingIncomeLossAndInterestAndDebtExpense" id="mdrr_OperatingIncomeLossAndInterestAndDebtExpense" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="credit" />
  <xsd:element name="DelawareStatutoryTrustProgramMember" id="mdrr_DelawareStatutoryTrustProgramMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="DelawareStatutoryTrustEntitiesMember" id="mdrr_DelawareStatutoryTrustEntitiesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="FinancialAssetsFairValueDisclosure" id="mdrr_FinancialAssetsFairValueDisclosure" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" xbrli:balance="debit" />
  <xsd:element name="NonfinancialAssetsFairValueDisclosure" id="mdrr_NonfinancialAssetsFairValueDisclosure" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" xbrli:balance="debit" />
  <xsd:element name="ThresholdBeneficialInterestPercentage" id="mdrr_ThresholdBeneficialInterestPercentage" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="AssetsHeldForSaleIntangibleLeaseAssetsWriteOff" id="mdrr_AssetsHeldForSaleIntangibleLeaseAssetsWriteOff" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="credit" />
  <xsd:element name="MinorityInterestOwnershipPercentageByNoncontrollingOwnersExchangedNumberOfOperatingPartnershipUnitsRedeemed" id="mdrr_MinorityInterestOwnershipPercentageByNoncontrollingOwnersExchangedNumberOfOperatingPartnershipUnitsRedeemed" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="MinorityInterestOwnershipPercentageByNoncontrollingOwnersExchangedNumberOfSharesIssued" id="mdrr_MinorityInterestOwnershipPercentageByNoncontrollingOwnersExchangedNumberOfSharesIssued" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="InvestmentPropertiesDisposedMember" id="mdrr_InvestmentPropertiesDisposedMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="SharesExchangedDuringPeriodSharesForOperatingPartnershipUnits" id="mdrr_SharesExchangedDuringPeriodSharesForOperatingPartnershipUnits" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="AdjustmentsToAdditionalPaidInCapitalTaxEffectOfChangeInNonControllingInterest" id="mdrr_AdjustmentsToAdditionalPaidInCapitalTaxEffectOfChangeInNonControllingInterest" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="credit" />
  <xsd:element name="ClosingCostsCapitalizedOnAcquisition" id="mdrr_ClosingCostsCapitalizedOnAcquisition" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" xbrli:balance="debit" />
  <xsd:element name="CommonUnitRedemptionRightOperatingPartnershipUnitsRedeemed" id="mdrr_CommonUnitRedemptionRightOperatingPartnershipUnitsRedeemed" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="CommonUnitRedemptionRightSharesIssuedInExchangeForOperatingPartnershipUnits" id="mdrr_CommonUnitRedemptionRightSharesIssuedInExchangeForOperatingPartnershipUnits" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
</xsd:schema>
