Variance of first 50 even natural numbers is

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13.Statistics

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The variance of first $50$ even natural numbers is

A

$437$

B

$\frac{{437}}{4}$

C

$\frac{{833}}{4}$

D

$833$

Solution

$\sigma^{2}=\frac{\sum\left(x_{i}-\bar{x}\right)^{2}}{N}$

required variance $(\sigma)^{2}=2^{2} \times$ Variance of $(1,2,3, \ldots \ldots .50)$

$=4 \times \frac{n^{2}-1}{12}$

$=4 \times \frac{2500-1}{12}=833$

Standard 11

Mathematics

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