<TABLE> <S> <C>
<ARTICLE> 6
<LEGEND>
This schedule contains summary financial information extracted from the Kemper
Intermediate Municipal Bond Fund Semiannual Report for the fiscal year ended
03/31/2000 and is qualified in its entirety by reference to such financial
statements.
</LEGEND>
<CIK> 0000055190
<NAME> KEMPER INTERMEDIATE MUNICIPAL BOND FUND
<SERIES>
<NUMBER> 006
<NAME> KEMPER NATIONAL TAX-FREE INCOME SERIES
<MULTIPLIER> 1,000
<S> <C>
<PERIOD-TYPE> 6-MOS
<FISCAL-YEAR-END> SEP-30-2000
<PERIOD-START> OCT-01-1999
<PERIOD-END> MAR-31-2000
<INVESTMENTS-AT-COST> 21,989
<INVESTMENTS-AT-VALUE> 22,296
<RECEIVABLES> 387
<ASSETS-OTHER> 173
<OTHER-ITEMS-ASSETS> 0
<TOTAL-ASSETS> 22,856
<PAYABLE-FOR-SECURITIES> 0
<SENIOR-LONG-TERM-DEBT> 0
<OTHER-ITEMS-LIABILITIES> 117
<TOTAL-LIABILITIES> 117
<SENIOR-EQUITY> 0
<PAID-IN-CAPITAL-COMMON> 22,839
<SHARES-COMMON-STOCK> 141
<SHARES-COMMON-PRIOR> 236
<ACCUMULATED-NII-CURRENT> 0
<OVERDISTRIBUTION-NII> 0
<ACCUMULATED-NET-GAINS> (406)
<OVERDISTRIBUTION-GAINS> 0
<ACCUM-APPREC-OR-DEPREC> 306
<NET-ASSETS> 22,739
<DIVIDEND-INCOME> 0
<INTEREST-INCOME> 647
<OTHER-INCOME> 0
<EXPENSES-NET> 142
<NET-INVESTMENT-INCOME> 505
<REALIZED-GAINS-CURRENT> (144)
<APPREC-INCREASE-CURRENT> (132)
<NET-CHANGE-FROM-OPS> 229
<EQUALIZATION> 0
<DISTRIBUTIONS-OF-INCOME> 32
<DISTRIBUTIONS-OF-GAINS> 0
<DISTRIBUTIONS-OTHER> 0
<NUMBER-OF-SHARES-SOLD> 180
<NUMBER-OF-SHARES-REDEEMED> (1,152)
<SHARES-REINVESTED> 23
<NET-CHANGE-IN-ASSETS> (2,724)
<ACCUMULATED-NII-PRIOR> 0
<ACCUMULATED-GAINS-PRIOR> (262)
<OVERDISTRIB-NII-PRIOR> 0
<OVERDIST-NET-GAINS-PRIOR> 0
<GROSS-ADVISORY-FEES> 65
<INTEREST-EXPENSE> 0
<GROSS-EXPENSE> 159
<AVERAGE-NET-ASSETS> 1,758
<PER-SHARE-NAV-BEGIN> 10
<PER-SHARE-NII> .18
<PER-SHARE-GAIN-APPREC> (.11)
<PER-SHARE-DIVIDEND> 0
<PER-SHARE-DISTRIBUTIONS> (.18)
<RETURNS-OF-CAPITAL> 0
<PER-SHARE-NAV-END> 9.89
<EXPENSE-RATIO> 1.76
</TABLE>
