What is the variance of {-4, 19, -3, 8, -10}?

Mar 1, 2016

$106$

Explanation:

The variance of a data set is given by average of the squared distances of each data point from the mean.

The mean is $\frac{- 4 + 19 - 3 + 8 - 10}{5} = 2$.

Thus the variance is

$\frac{{\left(- 4 - 2\right)}^{2} + {\left(19 - 2\right)}^{2} + {\left(- 3 - 2\right)}^{2} + {\left(8 - 2\right)}^{2} + {\left(- 10 - 2\right)}^{2}}{5}$

$= \frac{36 + 289 + 25 + 36 + 144}{5} = 106$