The mean of the following distribution is ____. x i 10 13 16 19 f i 2 5 7 6 Options: A . &nbsp 15.2 B . &nbsp 15.35 C . &nbsp 15.55 D . &nbsp 16

Answer: Option C : C x i f i f i x i 10 2 20 13 5 65 16 7 112 19 6 114 ∑ f i = 20 ∑ f i x i = 311 Mean = ∑ f i x i ∑ f i = 311 20 = 15.55

The mean of the following distribution is ___

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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