Question

Can you find the standard deviation of negative numbers?

Answer 1

Yes.

Explanation:

Yes. Why not?!!

Consider the data sets `{-1,-2,-3,-4,-5}`. Note that all are negative numbers.

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`