n-ended distributions A distribution is said to be open-ended when there is noupper limit (or lower limit) for one of the categories. The table in the margin providesan example of an open-ended distribution, showing the number of pizzas eaten duringa 1 month period for a sample of n 20 high school students. The top category in thisdistribution shows that three of the students consumed “5 or more” pizzas. This is anopen-ended category. Notice that it is impossible to compute a mean for these data because you cannot find X (the total number of pizzas for all 20 students). However,you can find the median. Listing the 20 scores in order produces X 1 and X 2 asthe middle two scores. For these data, the median is 1.5.