The variance of first 50 even natural numbers | vedclass

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Question

$\sigma^{2}=\frac{\sum\left(x_{i}-\bar{x}ight)^{2}}{N}$

required variance $(\sigma)^{2}=2^{2} 	imes$ Variance of $(1,2,3, \ldots \ldots .50)$

Vedclass · Accepted Answer

$833$

Vedclass · Answer

$\sigma^{2}=\frac{\sum\left(x_{i}-\bar{x}ight)^{2}}{N}$

required variance $(\sigma)^{2}=2^{2} 	imes$ Variance of $(1,2,3, \ldots \ldots .50)$

$=4 	imes \frac{n^{2}-1}{12}$

$=4 	imes \frac{2500-1}{12}=833$

${x_i}$	$6$	$10$	$14$	$18$	$24$	$28$	$30$
${f_i}$	$2$	$4$	$7$	$12$	$8$	$4$	$3$

The variance of first $50$ even natural numbers is

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