| A frequency-distribution table summarizes data. For example, there were 1200 grades received on 4 examinations by 10 sections of 30 students each. The first column lists the ten intervals into which the grades were grouped. The second column lists the midpoints of these intervals. The third column lists the number of grades in each interval, that is, their frequency. (There were 20 grades between 0 and 10.) The fourth column lists the proportion of grades in each interval, that is, their relative frequency. (.017 of the 1200 grades were between 0 and 10.) The fifth column lists the number of grades in an interval and all intervals below it, that is, their cumulative frequency. (35 grades were in or below the interval between 10 and 20.) The sixth column lists the proportion of grades in or below an interval, that is, their relative cumulative frequency. (0.029 of the 1200 grades were in or below the interval 10 to 20.) |