Question

If the mean of 7,6 ,4 x ,4 and 5 is 5, then the value of x is

Answer 1

Answer:

X = 4

Explanation:

Given:

• Observations = 7,6,4,X,4,5

• Mean of the observations = 5

To find :

• The value of X in the above observations

Mean = sum of observations / No. Of observations

Number of observations = 6

Sum of observations = 7+6+4+X+4+5

Sum of observations = 26+X

Mean of the observations = 5

5=26+X/6

30=26+X

X = 30-26

X = 4

The value of X is equal to 4

Answer 2

Given ,

If the mean of 7 , 6 , 4 , x , 4 & 5 is 5.

We need to find the value of " x "

We know that ,

$\bf{Mean=\dfrac{Sum\ of\ Observations}{No.\ of\ Observations}}$

Here ,

Mean of observations = 5

Sum of observations = 7 + 6 + 4 + x + 4 + 5

⇒ Sum of observations = 26 + x

No. of observations = 6

So ,

$\implies \bf{Mean=\dfrac{26+x}{6}}\\\\\implies \bf{5=\dfrac{26+x}{6}}\\\\\implies \bf{30=26+x}\\\\\implies \bf{x=4}$

So , the value of x is 4