If the mean of the following data is 17 then the value of p is ___ x i 10 p 18 21 25 f i 10 15 7 9 9

: x i f i f i x i 10 10 100 p 15 15p 18 7 126 21 9 189 25 9 225 ∑ f i =50 ∑ f i x i = 640+15p Given mean=17 17 = 640 + 15 p 50 Solving, we get p = 14

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

Question

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}

Answer:
:

\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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