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 class0interval.
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 =
= = 7.25
Number of classes = 8
The cumulative distribution frequency is as follows:
No. of books | No. of shelves (Frequency) | Cumulative frequency |
13-17 | 1 | 1 |
17-21 | 6 | 7 |
21-25 | 11 | 18 |
25-29 | 15 | 33 |
29-33 | 12 | 45 |
33-37 | 5 | 50 |
37-41 | 6 | 56 |
41-45 | 3 | 59 |
45-49 | 1 | 60 |