# Can you find the standard deviation of negative numbers?

##### 1 Answer

Nov 1, 2015

Yes.

#### Explanation:

Yes. Why not?!!

Consider the data sets

So, variance of the data set will be

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

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

#= 11 -9#

# =6#