In the formula

Question:

In the formula $\bar{x}=a+\frac{\Sigma f_{i} d_{i}}{\Sigma f_{i}}$, for finding the mean of grouped data $d_{i}$ 's are deviation from $a$ of

(a) lower limits of the classes

(b) upper limits of the classes

(c) mid-points of the classes

(d) frequencies of the class marks

Solution:

(c) We know that, $d_{i}=x_{i}-\mathrm{a}$

i.e., $d_{i}$ 's are the deviation from a of mid-points of the classes.

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