What is the variance of {5, 3, 6, 14, 8, 10, 3, 17, 19, 9}?

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Answer 1 · 2016-04-05T03:57:28

#sigma^2 = 28.64#

There are 10 numbers, so #N = 10#.

First find the mean

#mu = (sumX)/N#

#= 9.4#

The variance is calculated as follows

#sigma^2 = (sum((X-mu)^2))/N#

#= 28.64#

# #

Alternatively, use the equivalent formula

#sigma^2 = 1/N ( sumX^2 - (sumX)^2/N )#

#= 28.64#