nobservations are taken from a mixture ofKnormal subpopulations, where the value ofKis known. It is assumed that thesenobservations are given asNfrequencies from equally spaced intervals. Initial guesses of theKmeans,Kvariances, andK− 1 proportions are made using the maximum likelihood estimates for a single truncated normal population as derived by Hald. Then an approximation to the likelihood function of the entire sample is used, and attempts to maximize this yield two iteration formulas. In practice, the method of steepest descent always converged, although the rate was not always fast. Special cases of equal variances and variances proportional to the square of the mean are also considered.