Question

If the mean of x,x+2,x+4,x+6,x+8 is 24,find x

Answer 1

mean=sum of observations /no of observations
24=x+x+2+x+4+x+6+x+8/5
120=5x+20
x= 20
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Answer 2

Answer:

x = 20

Explanation:

Given observations :

x,x+2,x+4,x+6,x+8

mean of the observations = 24

$\boxed {Mean\\ = \frac{Sum \: of \: the \: observations}{number\:of\:observations}}$

Here ,

$\implies mean=24$

$\implies \frac{(x+x+2+x+4+x+6+x+8)}{5}=24$

$\implies \frac{(5x+20)}{5}=24$

$\implies \frac{5(x+4)}{5}=24$

$\implies x+4=24$

$\implies x = 24-4$

$\implies x = 20$

Therefore,

x = 20

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