$x$1015$p$2535$f$3102575"">

The mean of the following data is 20.6. Find the value of p.
$x$1015$p$2535
$f$3102575
"


Given:

The mean of the given data is 20.6.

To do:

We have to find the value of $p$.

Solution:

$x$$f$$f \times\ x$
10330
1510150
$p$25$25p$
257175
355175
Total50$530+25p$

 We know that,

Mean$=\frac{\sum fx}{\sum f}$ 

Therefore,

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

$20.6(50)=530+25p$

$1030=530+25p$

$25p=1030-530$

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

$p=20$

The value of $p$ is $20$.

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Updated on: 10-Oct-2022

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