# What is the variance of {15, 14, 13, 13, 12, 10, 7}?

##### 1 Answer

Nov 1, 2015

Variance of the data set is

#### Explanation:

Note that the formula of variance for calculation purpose is

#1/n sum_(i=1) ^n x_i^2 - (1/n sum_(i=1)^n x_i)^2#

where

In your given data we have

So, your

variance#= 1/7 [ 15^2+14^2+ 13^2 +13^2+12^2+10^2+7^2 ] - (1/7 *[ 15+14+13+13+12 +10 +7])^2#

#= 150. 29 -144#

# =6.29#