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001 A000000 UNITED MUNICIPAL HIGH INCOME FUND, INC.
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002 A000000 6300 LAMAR AVENUE, P. O. BOX 29217
002 B000000 SHAWNEE MISSION
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<PAGE> PAGE 2
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<PAGE> PAGE 3
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<PAGE> PAGE 4
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<PAGE> PAGE 5
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<PAGE> PAGE 6
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<PAGE> PAGE 7
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<PAGE> PAGE 9
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SIGNATURE THEODORE W. HOWARD
TITLE V.P. & TREASURER
<TABLE> <S> <C>
<ARTICLE> 6
<LEGEND>
THE SCHEDULE CONTAINS SUMMARY INFORMATION EXTRACTED FROM THE ANNUAL REPORT TO
SHAREHOLDERS DATED SEPTEMBER 30, 1996 AND IS QUALIFIED IN ITS ENTIRETY BY
REFERENCE TO SUCH FINANCIAL STATEMENTS.
</LEGEND>
<CIK> 0000778807
<NAME> UNITED MUNICIPAL HIGH INCOME FUND, INC.
<S> <C>
<PERIOD-TYPE> YEAR
<FISCAL-YEAR-END> SEP-30-1996
<PERIOD-END> SEP-30-1996
<INVESTMENTS-AT-COST> 375,141,448
<INVESTMENTS-AT-VALUE> 397,142,885
<RECEIVABLES> 8,960,911
<ASSETS-OTHER> 11,213
<OTHER-ITEMS-ASSETS> 157,206
<TOTAL-ASSETS> 406,272,215
<PAYABLE-FOR-SECURITIES> 4,515,690
<SENIOR-LONG-TERM-DEBT> 0
<OTHER-ITEMS-LIABILITIES> 1,932,832
<TOTAL-LIABILITIES> 6,448,522
<SENIOR-EQUITY> 75,252,656
<PAID-IN-CAPITAL-COMMON> 308,690,937
<SHARES-COMMON-STOCK> 75,252,656
<SHARES-COMMON-PRIOR> 0
<ACCUMULATED-NII-CURRENT> 0
<OVERDISTRIBUTION-NII> 0
<ACCUMULATED-NET-GAINS> (492,515)
<OVERDISTRIBUTION-GAINS> 0
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<NET-ASSETS> 399,823,693
<DIVIDEND-INCOME> 0
<INTEREST-INCOME> 28,206,563
<OTHER-INCOME> 0
<EXPENSES-NET> (3,167,044)
<NET-INVESTMENT-INCOME> 25,039,519
<REALIZED-GAINS-CURRENT> 2,528,353
<APPREC-INCREASE-CURRENT> 772,319
<NET-CHANGE-FROM-OPS> 28,340,191
<EQUALIZATION> 0
<DISTRIBUTIONS-OF-INCOME> (25,039,519)
<DISTRIBUTIONS-OF-GAINS> 0
<DISTRIBUTIONS-OTHER> 0
<NUMBER-OF-SHARES-SOLD> 7,034,526
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<PER-SHARE-NAV-BEGIN> 5.27
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</TABLE>
