A cumulative frequency distribution is given below. Convert this into a frequency distribution table. Marks Below 45 Below 60 Below 75 Below 90 Below 105 Below 120 No. of Students 0 8 23 48 85 116

Explanation

We take class-intervals `0-45,45-60,60-75,75-90,90-105 and 105-120`. There is no student whose The score is less than `45`. Therefore, the frequency of class `0 -45 is 0`. From the true frequency distribution table, it is clear that `8` students have scored less than `60`. Therefore, the frequency of class `45 -60 is 8 - 0 = 8. 23` students have scored less than `75`. Therefore, the frequency of class `60 -75 is 23 - 8 = 15.` Similarly, the frequency of classes `75-90, 90-150 and 150 -120` is `48-23 =25,85-48 = 37 and 116-85 =31` respectively.
So we get the following frequency distribution table.