In calculating the mean of grouped data,

Question:

In calculating the mean of grouped data, grouped in classes of equal width, we may use the formula,

$\bar{x}=a+\frac{\Sigma f_{i} d_{i}}{\Sigma f_{i}}$

Where, a is the assumed mean, a must be one of the mid-point of the classes. Is the last statement correct? Justify your answer.

Solution:

No, it is not necessary that assumed mean consider as the mid-point of the class interval. It is considered as any value which is easy to simplify it.

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