# 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

#### 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

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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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