What is the variance of {-2, 5, 18, -8, -10, 14, -12, 4}?

1 Answer

Variance sigma^2=6903/64=107.8593

Explanation:

compute the arithmetic mean mu first

n=8

mu=(-2+5+18+(-8)+(-10)+14+(-12)+4)/8

mu=(-32+41)/8

mu=9/8

compute the variance sigma^2 using the variance formula for population

sigma^2=(sum(x-mu)^2)/n

sigma^2=((-2-9/8)^2+(5-9/8)^2+(18-9/8)^2+(-8-9/8)^2+(-10-9/8)^2+(14-9/8)^2+(-12-9/8)^2+(4-9/8)^2)/8

sigma^2=6903/64

sigma^2=107.8593

God bless ....I hope the explanation is useful.