Question

the average of 11.03 ,12.1, 13.0 9 and X is 12.5 7 then find x​

Answer 1

Answer:

22.92

Step-by-step explanation:

(11.03 + 12.1 +13.09 + x) / 2 = 12.57

Answer 2

The value of x = 14.06

Correct question : The average of 11.03 ,12.1, 13.09 and x is 12.57 then find x

Given :

The average of 11.03 ,12.1, 13.09 and x is 12.57

To find :

The value of x

Solution :

Step 1 of 2 :

Form the equation to calculate the value of x

Here the given observations are 11.03 ,12.1, 13.09 and x

Number of observations = 4

Sum of the observations

= 11.03 + 12.1 + 13.09 + x

= x + 36.22

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

Since average of 11.03 ,12.1, 13.09 and x is 12.57

So by the given condition

$\displaystyle \sf \frac{x + 36.22}{4} = 12.57$

Step 2 of 2 :

Calculate the value of x

$\displaystyle \sf \frac{x + 36.22}{4} = 12.57$

$\displaystyle \sf{ \implies } x + 36.22 = 12.57 \times 4$

$\displaystyle \sf{ \implies } x + 36.22 = 50.28$

$\displaystyle \sf{ \implies } x = 50.28 - 36.22$

$\displaystyle \sf{ \implies } x = 14.06$

Hence the required value of x = 14.06

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