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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, - CBSE Class 9 - Mathematics

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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
  Is there an error in this question or solution?

APPEARS IN

 RD Sharma Solution for Mathematics for Class 9 by R D Sharma (2018-19 Session) (2018 to Current)
Chapter 22: Tabular Representation of Statistical Data
Ex.22.20 | Q: 6 | Page no. 24
Solution 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, Concept: Presentation of Data.
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