Question

If the mean of 4,7,x,15,20, is 11 ,find x

Answer 1

$\huge\bf\blue{\mid{\overline{\underline{Your\: Answer}}}\mid}$

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${\bold{\red{\huge{x\:=\:9}}}}$

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step-by-step explanation:

♣ Mean of numbers is simply their average.

✍️ Mean = $\frac{Sum\:of\:all\:numbers}{Total numbers}$

Now,

given numbers are,

4, 7, x, 15 and 20

Therefore,

total numbers = 5

Now,

from the formula,

we know that,

Mean = $\frac{4+7+x+15+20}{5}$

But,

it is given that,

Mean = 11

so,

putting this value,

we get,

=> $\frac{4+7+x+15+20}{5}=11$

=> $4+7+x+15+20=11×5$

=> 46 + x = 55

=> x = 55 - 46

=> x = 9

Hence,

the required value of x is 9

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Answer 2

Hey There......!!

We know that,

Mean =

Sum of observations ÷ Number of observations

Given observations = 4,7,x,15,20

Number of observations = 5

their sum = 4+7+x+15+20

=> 46+x

Mean is given as 11

Substituting the given values in the formula of mean

Mean = Sum of observations ÷ Total Number Of observations

11 = (46 + x) ÷ 5

55 = 46 + x

55 - 46 = x

x = 9

Hope this helps!!