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The Water Bills (In Rupees) of 32 Houses in a Certain Street for the Period 1.1.98 To. 31.3.98 Are Given Below: 56, 43, 32, 38, 56, 24, 68, 85, 52, 47, 35, 58, 63, 74, 27, 84, 69, 35, 44, 75, 55, - CBSE Class 9 - Mathematics

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Question

The water bills (in rupees) of 32 houses in a certain street for the period 1.1.98 to. 31.3.98 are given below:
56, 43, 32, 38, 56, 24, 68, 85, 52, 47, 35, 58, 63, 74, 27, 84, 69, 35, 44, 75, 55, 30, 54, 65, 45, 67, 95, 72, 43, 65, 35, 59.
Tabulate the data and resent the data as a cumulative frequency table using 70-79 as one of the class intervals.

Solution

The minimum bill is 24. Rs
Maximum bill is Rs 95.
Range = maximum bill – minimum bill
= 95-24
=71
Given class in terval is 70-79, So class size
= 79-70 = 9
∴ Number of classes =`"Range"/"Class size"=71/9`
=7.88

∴ Number of classes = 8

The cumulative frequency distribution table is as

Bills No. of houses (Frequency) Cumulative frequency
16-25 1 1
25-34 3 4
34-43 5 9
43-52 4 13
52-61 7 20
61-70 6 26
70-79 3 29
79-88 2 31
88-97 1 32

 

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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: 5 | Page no. 24
Solution The Water Bills (In Rupees) of 32 Houses in a Certain Street for the Period 1.1.98 To. 31.3.98 Are Given Below: 56, 43, 32, 38, 56, 24, 68, 85, 52, 47, 35, 58, 63, 74, 27, 84, 69, 35, 44, 75, 55, Concept: Collection of Data.
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