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If the Mean of the Following Distribution is 27, Find the Value of P. Class: 0 - 10 10 - 20 20 - 30 30 - 40 40-50 - Mathematics

If the mean of the following distribution is 27, find the value of p.

Class 0 - 10 10 - 20 20 - 30 30 - 40 40 - 50
Frequency 8 p 12 13 10
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Solution

Class interval Mid value(x1) Frequency(f1) f1x1
0 - 10 5 8 40
10 - 20 15 p 15p
20 - 30 25 12 300
30 - 40 35 13 455
40 - 50 45 10 450
    N = 43 + p `sumf_1x_1=1245 + 15p`

Given

Mean = 27

`rArr(sumf_1x_1)/N=27`

`rArr(1245 + 15p)/(43+p)=27`

1245 + 15p = 27(43 + p)

1245 + 15p = 27p + 1161

27p - 15p = 1245 - 1161

12p = 84

p = 84/12 = 7

  Is there an error in this question or solution?
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APPEARS IN

RD Sharma Class 10 Maths
Chapter 15 Statistics
Exercise 15.3 | Q 20 | Page 24
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