Which computing the mean of grouped data, it is assumed that the … - Vidyadip

MCQ

Which computing the mean of grouped data, it is assumed that the frequencies are

A
centred at the lower limits of the classes
B
centred at the upper limits of the classes
✓
centred at the class marks of the classes
D
evenly distributed over all the classes.

✓

Answer

Correct option: C.

centred at the class marks of the classes

(c)
The mean $\bar{X}$ of the grouped data is given by
$\bar{X}=\frac{1}{N} \sum f_1 x_1$ where $x_i^{\prime} s$ are the mid-values of the class-intervals.
Therefore, class frequencies are centred at the class marks of the classes.

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