An efficient method is presented for the economical and rapid computation of as many as six to twelve moments from a single run of the tabulating cards through the IBM Accounting Machine Type 402. The only auxiliary machine required is a sorter. Three features of the accounting machine are employed: progressive summation, total transfer, and the special program device. Moments are available from the successive progressive summations of either the scores or the card count, and both techniques can be applied simultaneously to provide a check on the computations.