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State true or false.

In calculating the mean of grouped data, grouped in classes of equal width, we may use the formula $x ¯ = a + (∑ f i d i ∑ f i)$ where $a$ is the assumed mean. $a$ must be one of the mid-points of the classes.

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True

False

answer is B.

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Detailed Solution

Given that, for calculating mean of grouped data, the formula used is

\underset{̲}{x} = a + (\frac{\sum_{}^{} f_{1} d_{i}}{\sum_{}^{} f_{i}})

, where a must be assumed mean.
The value of a can be chosen as any point and is not always mid-point of the class.
So, the correct statement is that the formula for the mean is equal to

x ¯ = a + (∑ f i d i ∑ f i)

, here

a

is assumed mean which might take any value and not equal to mid-point of the class.
Hence, the statement is false.
Hence, option 2 is correct.

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