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The variance of first 50 even natural numbers is (1) `(833)/4` (2) 833 (3) 437 (4) `(437)/4`

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The variance of first 50 even natural numbers is (1) `(833)/4` (2) 833 (3) 437 (4) `(437)/4`
A. `(833)/(4)`
B. `833`
C. `437`
D. `(437)/(4)`
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1 Answer

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Correct Answer - 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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