Question

if the mean of 6, 7, 10, X, 9, 12, 11 is 8 then find the value of X
Please tell the answer correctly with correct numbers​

Answer 1

Answer:

The value of X in this question is 5

Answer 2

Given,

The mean of 6, 7, 10, X, 9, 12, 11 is 8.

To Find,

The value of X =?

Solution,

We can solve the question as follows:
It is given that the mean of 6, 7, 10, X, 9, 12, 11 is 8. We have to find the value of X.

$Mean\: of\: 6, 7, 10, X, 9, 12, 11 = 8$

Now,

The mean of a given set of observations is equal to the sum of all observations divided by the total number of observations.

$Mean = \frac{Sum\: of\: all\: observations}{Total\: number\: of\: observations}$

Here,

$Sum\: of\: all\: observations = 6+7+10+X+9+12+11 = 55 + X$

$Number\: of\: observations = 8$

Substituting the values in the above formula,

$8 = \frac{55+X}{8}$

Solving the above equation to find the value of X,

$8*8 = 55 + X$

$64 = 55 + X$

$X = 64 - 55$

$X = 9$

Hence, the value of X is equal to 9.