Question

Given below is a cumulative frequency distribution table showing the ages of people living in a locality:

Age in years	No. of persons
Above 108 Above 96 Above 84 Above 72 Above 60 Above 48 Above 36 Above 24 Above 12 Above 0	0 1 3 5 20 158 427 809 1026 1124

Prepare a frequency distribution table.

Answer 1

We make class intervals 0-12, 12-24, 24-36, 36-48, 48-60, 60-72, 72-84, 84-96 and 96-108.

We will now find the frequencies of the different class-intervals from the cumulative frequency distribution table.

The frequency of the class 0-12 is 1026−1124=98

The frequency of the class 12-24 is1026−809=217

The frequency of the class 24-36 is 809−427=382

The frequency of the class 36-48 is 427−158=269

The frequency of the class 48-60 is 158−20=138

The frequency of the class 60-72 is 20−5=15

The frequency of the class 72-84 is 5−3=2

The frequency of the class 84-96 is 3−1=2

The frequency of the class 96-108 is 1−0=1

Here is the cumulative frequency distribution table.