# How do you find the variance of the data 2, 4, 6, 8, 10?

Jul 24, 2017

Variance is $8$

#### Explanation:

Variance $\left({\sigma}^{2}\right)$ is the average of squared difference from mean.

Mean is $M = \frac{2 + 4 + 6 + 8 + 10}{5} = \frac{30}{5} = 6$

Variance is ${\sigma}^{2} = \frac{{\left(2 - 6\right)}^{2} + {\left(4 - 6\right)}^{2} + {\left(6 - 6\right)}^{2} + {\left(8 - 6\right)}^{2} + {\left(10 - 6\right)}^{2}}{5}$

$= \frac{16 + 4 + 0 + 16 + 4}{5} = \frac{40}{5} = 8$

So the variance is $8$ [Ans]