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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 interval.
Solution
Minimum number of book shelves is 16 and maximum number of book shelves is 45
Range = maximum B. S – Minimum B. S
= 45 – 16
= 29
Given class interval = 45 – 49. So class size
= 49-45 = 4.
∴ Number of classes = `"Range"/"Class size"=29/4=7.25`
⇒ Number of classes = 8.
The cumulative frequencies distribution is as
| 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 |
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