The variance of first 20-natural numbers is

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answer is 33.25.

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Detailed Solution

σ2=12012+22+…+202−120(1+2+…+20)2=12020×21×(2×20+1)6−12020×2122=7×412−4414=1334.In fact, the variance of first n-natural numbers is n2−112.

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