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While calculating the mean of a given data by the assumed-mean method, the following values were obtained: $A = 25, Σ f i d i = 110, Σ f i = 50$ , the mean will be 27.2. Is it true or false?

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True

False

answer is A.

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Detailed Solution

Given that

A = 25, Σ f i d i = 110, Σ f i = 50

, the mean will be 27.2.
We know that the formula of mean:

M e a n = A + Σ f i d i Σ f i

Substituting values in the formula, we get

M e a n = 25 + 11050 M e a n = 25 + 2.2 M e a n = 27.2

Thus, the value of the mean is 27.2.
Therefore, the given statement is true so the correct option is 1.

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