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 . 15.2

B . 15.35

C . 15.55

D . 16

Answer: Option C
:
C

\begin{matrix} x_{i} & f_{i} & f_{i} x_{i} 10 & 2 & 20 13 & 5 & 65 16 & 7 & 112 19 & 6 & 114 \sum f_{i} = 20 & \sum f_{i} x_{i} = 311 \end{matrix}

Mean

= \frac{\sum f_{i} x_{i}}{\sum f_{i}}

= \frac{311}{20}

= 15.55

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