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Question

Consider a grouped data distribution for which the mean is found by assumed mean method.

P = sum of the products of ‘d’ and frequency for each class interval

Here di=xiA

Q = total number of observations

A = assumed mean

M = mean of given grouped data distribution

Which of the following statements is true?


A
M=A+QP
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B
M=A+PQ
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C
M=P+AQ
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D
M=Q+AP
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Solution

The correct option is B M=A+PQ

Here we can write:

M=A+fidifi
Given:
fidi=P
fi=Q
Where,
fi= frequency of ith class

di=xiA

xi=ith class mark

A= assumed mean

M=A+PQ


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