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the variance of first 50 even natural nu...

the variance of first 50 even natural numbers is ,

A

`(833)/(4)`

B

`833`

C

`437`

D

`(437)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
B
`sigma^(2)=((sum x_(i)^(2))/(n))-overline(x)^(2)`
`overline(x)=(underset(r=1)overset(50)(sum2r))/(50)=51`
`sigma^(2)=(underset(r=1)overset(50)(sum 4r^(2)))/(50)-(51)^(2)=833`
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