Question

If the mean of x, x+2,x+4,x+6,x+8 is24 , find x

Answer 1

AnsWer :

x = 20.

GiveN :

• Mean = 24.
• Observation x , x + 2 , x + 4 , x + 6 , x+ 8.

To FinD :

The value of x.

SolutioN :

We have, Formula.

$\tt Mean = \dfrac{Sum \: of \: Observation}{ No. \: of \: Observation}$

★ Here,

• Number of Observation is 5.

$\tt : \implies Mean = \dfrac{x + x + 2 + x + 4 + x + 6 + x + 8}{5}$

$\tt : \implies 24 = \dfrac{x + x + 2 + x + 4 + x + 6 + x + 8}{5}$

$\tt : \implies 24 = \dfrac{5x +20}{5}$

$\tt : \implies 24 = \dfrac{5(x +4)}{5}$

$\tt : \implies 24 = x + 4$

$\tt : \implies x = 20.$

Therefore,the value of x is 20.

Answer 2

✯✯ QUESTION ✯✯

If the mean of $x, x+2,x+4,x+6,x+8\:is\:24$ , Find $x$.

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✰✰ ANSWER ✰✰

$\longrightarrow{Given\:Observations=x,x+2,x+4,x+6,x+8}$

$\longrightarrow{Mean\:of\:Obseravtion=24}$

➜As we know that : -

$\longrightarrow{Mean=\dfrac{Sum\:of\:all\:Observations}{Total\:No.\:of\:Observations}}$

➜Now : -

$\longrightarrow{Mean=\dfrac{x+x+2+x+4+x+6+x+8}{5}}$

$\longrightarrow{24=\dfrac{5x+20}{5}}$

$\longrightarrow{24=\dfrac{5(x+4)}{5}}$

$\longrightarrow{24=x+4}$

$\longrightarrow{24-4=x}$

$\longrightarrow{20=x}$

☛So, Value of x is 20....