# Given the set:  {-3,2,-5,1,x,7} , for what x would the mean of the set be 3?

Dec 30, 2015

$x = 16$

#### Explanation:

By definition, the mean or average is : $\overline{x} = \frac{1}{n} {\sum}_{I = 1}^{n} {x}_{i}$.

Substituting the given values into this formula we get

$3 = \frac{1}{6} \left(- 3 + 2 - 5 + 1 + x + 7\right)$

$\therefore x = 16$.
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