# What is the standard deviation of {1, 2, 3, 4, 5}?

##### 1 Answer

Nov 1, 2015

The answer 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#= 1/5 [ 1^2+2^2+ 3^2 +4^2+5^2] - (1/5 *[ 1+2+3+4+5])^2#

#= 11 -9#

# =6#