If the mean of the following data is 20.6 find the value of $p$:

$x$:	10	15	$p$	25	35
$f$:	3	10	25	7	5.

Given:

The mean of the given data is 20.6.

To do:

We have to find the value of $p$.

Solution:

 We know that,

Mean$=\frac{\sum fx}{\sum f}$ 

Therefore,

Mean $20.6=\frac{530+25p}{50}$

$20.6(50)=530+25p$

$1030=530+25p$

$25p=1030-530$

$p=\frac{500}{25}$

$p=20$

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Updated on: 10-Oct-2022

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