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What is the variance of {12, 6, -2, 9, 5, -1}?

1 Answer

Jul 6, 2017

Variance is # 25.14#

Explanation:

Data ; # D= {12, 6 ,-2, 9 , 5 ,-1} #

Variance # (sigma^2)# is the average of squared difference from mean.

Mean is #(sumD)/6 =29/6 ~~ 4.83(2dp) #

#sigma^2 =#
# {( 12-4.83)^2 + ( 6-4.83)^2 + ( -2-4.83)^2 + ( 9-4.83)^2+ ( 5-4.83)^2+ ( -1 -4.83)^2}/6 =150.83/6 ~~ 25.14(2dp)#

Variance is # 25.14# [Ans]

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