Question

Given the set: `{-1,6,4,11,x,-7}`, for what x would the mean of the set be 1?

Answer 1

`x=-7`

Explanation:

By definition, the mean or average of a set of N data points `{X_i}` is defined as

`barx=1/nsum_(I=1)^nx_i`

`therefore 1=1/6(-1+6+4+11+x-7)`

`thereforex=-7`.