Question

Given the mean for six numbers is 24. If three numbers which are x, (x + 2) and (x - 2) are added into the data set, the value of mean changed to 30. Calculate the value of x.​

Answer 1

42

Explanation:

We know that the mean of 6 numbers is 24. This means that

`(x)/(6) = 24`

Solve for x.

`x = 144`

If we add, x, (x+2), and (x-2). We will have 9 terms. The value of mean will change to 30. This also means that

`(270)/(9) = 30`

`144 + x + (x + 2) + (x - 2) = 270`

`3x + 144 = 270`

`3x = 126`

`x = 42`