# What is the value of x if 100, 120, 103, 133, 109, x have a mean of 110?

Jan 24, 2018

$95$

#### Explanation:

This is a common statistics question.

Set up the equation so that

$\frac{100 + 120 + 103 + 133 + 109 + x}{6} = 110$

since you have 6 terms with an average of 110

$\frac{100 + 120 + 103 + 133 + 109 + x}{\cancel{6}} \cdot \cancel{6} = 110 \cdot 6$

$100 + 120 + 103 + 133 + 109 + x = 660$

Now subtract your know values to find $x$:

$x = 95$