<ARTICLE> 5
<LEGEND>
The schedule contains summary financial information extracted from Century
Pension Income Fund XXIV and is qualified in its entirety by reference to such
financial statements.
</LEGEND>
<MULTIPLIER>      1
       
                                       
<PERIOD-TYPE>                                      YEAR
<FISCAL-YEAR-END>                           DEC-31-1995
<PERIOD-START>                              JAN-01-1995
<PERIOD-END>                                DEC-31-1995
<CASH>                                        2,190,000
<SECURITIES>                                          0
<RECEIVABLES>                                   206,000  <F1>
<ALLOWANCES>                                          0
<INVENTORY>                                           0
<CURRENT-ASSETS>                                      0
<PP&E>                                       17,737,000
<DEPRECIATION>                              (3,226,000)
<TOTAL-ASSETS>                               24,424,000
<CURRENT-LIABILITIES>                                 0
<BONDS>                                               0
<COMMON>                                              0
<PREFERRED-MANDATORY>                                 0
<PREFERRED>                                           0
<OTHER-SE>                                   24,318,000
<TOTAL-LIABILITY-AND-EQUITY>                 24,424,000
<SALES>                                               0
<TOTAL-REVENUES>                              2,422,000
<CGS>                                                 0 
<TOTAL-COSTS>                                   995,000
<OTHER-EXPENSES>                                      0
<LOSS-PROVISION>                                      0
<INTEREST-EXPENSE>                                    0
<INCOME-PRETAX>                               1,017,000
<INCOME-TAX>                                          0
<INCOME-CONTINUING>                           1,017,000
<DISCONTINUED>                                        0
<EXTRAORDINARY>                                       0
<CHANGES>                                             0
<NET-INCOME>                                  1,017,000
<EPS-PRIMARY>                                     13.44
<EPS-DILUTED>                                     13.44
<FN>
<F1> Receivables include other assets of $61,000.
</FN>