Questions
The variance of first natural numbers is
a
n2+112
b
n2-112
c
(n+1)(2n+1)6
d
none of these
detailed solution
Correct option is B
We have,σ2=1n∑i=1n xi2−1n∑i=1n xi2⇒ σ2=1n12+22+…+n2−1n(1+2+…+n)2⇒ σ2=1n×n(n+1)(2n+1)6−n+122=n2−112Talk to our academic expert!
Similar Questions
The standard deviation of some temperature data in oC is 5. If the data were converted into oF, the new variance would be
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