If the mean of the following data is 17 then the value of p is ___ xi10p1

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If the mean of the following data is 17 then the value of p is

___

$\begin{matrix} x_{i} & 10 & p & 18 & 21 & 25 f_{i} & 10 & 15 & 7 & 9 & 9 \end{matrix}$

Options:

Answer: Option A
:

$\begin{matrix} x_{i} & f_{i} & f_{i} x_{i} 10 & 10 & 100 p & 15 & 15p 18 & 7 & 126 21 & 9 & 189 25 & 9 & 225 \end{matrix}$
$\sum f_{i}$ =50
$\sum f_{i} x_{i}$ = 640+15p
Given mean=17
17 = $\frac{640 + 15 p}{50}$
Solving, we get p = 14

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