NUVEEN TAX EXEMPT UNIT TRUST SERIES 338 NATIONAL TRUST 338
485BPOS, EX-27.1TRADSTATECT17, 2000-11-27
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  <ARTICLE> 6
  <RESTATED>
  <CIK> 0000771595
  <NAME> NUVEEN TAX-FREE UNIT TRUST
  <SERIES> Series  338
  <NAME> CONNECTICUT TRADITIONAL TRUST
  <NUMBER> 179
  <MULTIPLIER> 1
  <CURRENCY> U.S. DOLLARS
  <FISCAL-YEAR-END> JUL-31-2000
  <PERIOD-START> AUG-01-1999
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  <EXCHANGE-RATE> 1
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  <RECEIVABLES>       53,158
  <ASSETS-OTHER>        2,993
  <OTHER-ITEMS-ASSETS> 0
  <TOTAL-ASSETS>    2,586,541
  <PAYABLE-FOR-SECURITIES> 0
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  <OTHER-ITEMS-LIABILITIES>       11,790
  <TOTAL-LIABILITIES>       11,790
  <SENIOR-EQUITY> 0
  <PAID-IN-CAPITAL-COMMON> 0
  <SHARES-COMMON-STOCK>   44,233
  <SHARES-COMMON-PRIOR>   46,659
  <ACCUMULATED-NII-CURRENT>       52,127
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  <NET-CHANGE-FROM-OPS>       86,695
  <EQUALIZATION> 0
  <DISTRIBUTIONS-OF-INCOME>      228,794
  <DISTRIBUTIONS-OF-GAINS>      110,502
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  <NUMBER-OF-SHARES-SOLD>   60,000
  <NUMBER-OF-SHARES-REDEEMED>   15,767
  <SHARES-REINVESTED> 0
  <NET-CHANGE-IN-ASSETS>     -396,885
  <ACCUMULATED-NII-PRIOR>       56,782
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  <OVERDISTRIB-NII-PRIOR>            0
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  [AVG-DEBT-OUTSTANDING] 0
  [AVG-DEBT-PER-SHARE] 0


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