The mean of the following distribution is xi10131619fi2576

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Question

The mean of the following distribution is

$\begin{matrix} x_{i} & 10 & 13 & 16 & 19 f_{i} & 2 & 5 & 7 & 6 \end{matrix}$

Options:

A . 15.55

B . 15.35

C . 14.3

D . 16

Answer: Option A
:
A

Mean of ungrouped frequency distribution is given by

$¯ x = \frac{\sum_{i = 1}^{n} f_{i} x_{i}}{\sum_{i = 1}^{n} f_{i}}$
$= \frac{(10 \times 2 + 13 \times 5 + 16 \times 7 + 19 \times 6)}{(2 + 5 + 7 + 6)}$
$= \frac{311}{20}$
Therefore, the mean of the data is 15.55.

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