Question

The number of books in different shelves of a library are as follows:

30, 32, 28, 24, 20, 25, 38, 37, 40, 45, 16, 20

19, 24, 27, 30, 32, 34, 35, 42, 27, 28, 19, 34

38, 39, 42, 29, 24, 27, 22, 29, 31, 19, 27, 25

28, 23, 24, 32, 34, 18, 27, 25, 37, 31, 24, 23,

43, 32, 28, 31, 24, 23, 26, 36, 32, 29, 28, 21

Prepare a cumulative frequency distribution table using 45 - 49 as the last class 0 interval.

Answer 1

Minimum number of book shelves is 16 and maximum number of book shelves is 45.

Range = Maximum number of book shelves – Minimum number of book shelves

= 45 – 16

= 29

Given,

Class interval is 45 - 49.

So,

Class size = 49 – 45

= 4

Therefore,

No. of classes = \(\frac{Range}{class \, size}\) 

= \(\frac{29}{4}\) = 7.25

Number of classes = 8

The cumulative distribution frequency is as follows: