Q.

The variance of the first n natural numbers is

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a

n2−112

b

n2−16

c

n2+16

d

n2+112

answer is A.

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Detailed Solution

Variance =(SD)2=1nΣx2−Σxn2,∵x¯=Σxn                  =n(n+1)(2n+1)6n−n(n+1)2n2=n2−112
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