Question

Given a set `{-3,x,3,4,6}`, for what x would the mean of the set be -11?

Answer 1

`x=-65`

Explanation:

By definition, the mean or average of a set of n data points is given by

`bar x =1/nsum_(I=1)^n x_i`

Therefore in this particular case we get :

`-11=1/5(-3+x+3+4+6)`

`therefore x=-65`