If the mean of the following data is 18.75. Find the value of $p$.

$x_i$:	10	15	$p$	25	30
$f_i$:	5	10	7	8	2.

Given:

The arithmetic mean of the given data is 18.75.

To do:

We have to find the value of $p$.

Solution:

 We know that,
Mean$=\frac{\sum f_ix_i}{\sum f_i}$ 

Mean $18.75=\frac{460+7p}{32}$

$32(18.75)=460+7p$

$600=460+7p$

$7p=600-460$

$7p=140$

$p=\frac{140}{7}$

$p=20$

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Updated on: 10-Oct-2022

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