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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 6
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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 SEMIANNUAL REPORT
TO SHAREHOLDERS DATED MARCH 31,1996 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> 6-MOS
<FISCAL-YEAR-END> SEP-30-1996
<PERIOD-END> MAR-31-1996
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<INVESTMENTS-AT-VALUE> 376,028,813
<RECEIVABLES> 17,890,234
<ASSETS-OTHER> 7,365
<OTHER-ITEMS-ASSETS> 96,587
<TOTAL-ASSETS> 394,022,999
<PAYABLE-FOR-SECURITIES> 2,027,158
<SENIOR-LONG-TERM-DEBT> 0
<OTHER-ITEMS-LIABILITIES> 1,578,738
<TOTAL-LIABILITIES> 3,605,896
<SENIOR-EQUITY> 73,767,359
<PAID-IN-CAPITAL-COMMON> 302,339,883
<SHARES-COMMON-STOCK> 73,767,359
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<OVERDISTRIBUTION-GAINS> 0
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<NET-ASSETS> 390,417,103
<DIVIDEND-INCOME> 0
<INTEREST-INCOME> 14,014,656
<OTHER-INCOME> 0
<EXPENSES-NET> (1,591,001)
<NET-INVESTMENT-INCOME> 12,423,655
<REALIZED-GAINS-CURRENT> 4,095,090
<APPREC-INCREASE-CURRENT> (2,364,657)
<NET-CHANGE-FROM-OPS> 14,154,088
<EQUALIZATION> 0
<DISTRIBUTIONS-OF-INCOME> (12,423,655)
<DISTRIBUTIONS-OF-GAINS> 0
<DISTRIBUTIONS-OTHER> 0
<NUMBER-OF-SHARES-SOLD> 3,101,719
<NUMBER-OF-SHARES-REDEEMED> (3,898,862)
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<GROSS-EXPENSE> 1,591,001
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<PER-SHARE-NAV-BEGIN> 5.27
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</TABLE>
