Question

The mean of 10,15,x,5,15 is 15 what is the value of x

Answer 1

10+15+x+5+15\5=15
45+x=75
X=75-45
X=30

Answer 2

Given,

The mean of 10,15,x,5,15 is 15.

To Find,

The value of x =?

Solution,

We can solve the question as follows:

It is given that the mean of 10, 15, x, 5, 15 is 15. We have to find the value of x.

$The\: mean\: of\: 10,15,x,5,15 = 15$

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

$Mean = \frac{Sum\: of\: all\: observations}{Total\: no.\: of\: observations}$

Here,

$Sum\: of\: all\: observations = 10+15+x+5+15 = 45 + x$

$Total\: no.\: of\: observations = 5$

Substituting the values in the above formula,

$15= \frac{45 + x}{5}$

Solving the above equation to find the value of x,

$15*5 = 45+ x$

$75 = 45 + x$

$x = 75 - 45$

$x = 30$

Hence, the value of x is 30.