Question

If the mean of 8,6,9,p+15 and p+2 is 10 , find the value of p

Answer 1

Observations are 8 , 6 , 9 , p + 15 and p + 2.


Mean = 10



Sum of observations/ No of observations = 10


8 + 6 + 9 + p + 15 + p + 2 / 5 = 10



2p + 40 = 50


2p = 10


p = 5.

Answer 2

The value of p = 5

Given :

The mean of 8 , 6 , 9 , p + 15 and p + 2 is 10

To find :

The value of p

Solution :

Step 1 of 3 :

Find sum of the observations

Here the given observations are 8 , 6 , 9 , p + 15 and p + 2

Sum of the observations

= 8 + 6 + 9 + p + 15 + p + 2

= 2p + 40

Step 2 of 3 :

Form the equation

Number of observations = 5

We know that ,

$\displaystyle \sf{ \frac{Sum \: of \: the \: observations}{Number \: of \: observations} = Mean }$

So by the given condition

$\displaystyle \sf{ \frac{2p + 40}{5} = 10 }$

Step 3 of 3 :

Find the value of p

$\displaystyle \sf{ \frac{2p + 40}{5} = 10 }$

$\displaystyle \sf{ \implies 2p + 40 = 50}$

$\displaystyle \sf{ \implies 2p = 50 - 40}$

$\displaystyle \sf{ \implies 2p = 10}$

$\displaystyle \sf{ \implies p = 5}$

Hence the required value of p = 5

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