Question

Given the set: `{2,-1,-3,x,-3,2}`, for what x would the mean of the set be 3?

Answer 1

`x = 21`

Explanation:

The mean of the set is the sum of its elements divided by the number of elements it contains. Thus we have the equation

`"mean" = (2+(-1)+(-3)+x+(-3)+(2))/6 = 3`

`=> (x - 3)/6 = 3`

`=> x - 3 = 18`

`=> x = 21`