What is the variance of {1000, 600, 800, 1000}?

1 Answer
Shwetank Mauria
Jun 28, 2016

Variance is 27500

Explanation:

The mean of data set is given by the sum of data divided by their number i.e. (Sigmax)/N

Hence mean is 1/4(1000+600+800+1000)=3400/4=850

Variance is given by (Sigmax^2)/N-((Sigmax)/N)^2

(Sigmax^2)/N=1/4(1000^2+600^2+800^2+1000^2)

= 1/4(1000000+360000+640000+1000000)=300000/4=750000

Hence variance is 750000-(850)^2= 750000-722500=27500

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