The Lot Plot Plan is a modified variables sampling inspection plan which calls for taking 50 observations and which makes use of the sample histogram. Depending upon the appearance of the histogram, various rules for acceptance are used. It is shown that despite use of a histogram no such plan can be distribution-free. The behavior of the plan is studied where the lot distribution is any of several “nearly normal” distributions including Student'st, the symmetric Beta distribution, thex2distribution and the mixed normal distribution. The probability of acceptance as a function of the fraction defective depends strongly on the distributional form of the lot. Little protection against non-normality is obtainable from study of the histogram for 50 observations.