Question

Given the set: `{3/2,1/2,-5/4,x,-9/2}`, for what x would the mean of the set be -1?

Answer 1

`x=-5/4`

Explanation:

By definition, the average or mean of a set `{X_n}` of N values is given by

`barx=1/Nsum_(n=1)^Nx_i`.

`therefore-1=1/5(3/2+1/2-5/4+x-9/2)`

`therefore x=-5/4`