Question:
The number of books in different shelves of a library is 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-interval.
Solution:
The minimum number of bookshelves is 16
and maximum number of bookshelves is 45
Range = Maximum book shelves-Minimum book shelves = 45 - 16 = 29
Given class interval is 45 – 49.So, class size = 49 - 45 = 4
Therefore number of classes = Range/class size = 29/4 = 7.25
Number of classes = 8
The cumulative frequency distribution is as follows:
