Find the median of the observation: 62, 67, 8 | vedclass

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(A) Arranging the observations in ascending order,we get:$62, 63, 67, 71, 75, 77, 82, 91$Here,the total number of observations $n = 8$,which is an eve

Vedclass · Accepted Answer

$73$

Vedclass · Answer

(A) Arranging the observations in ascending order,we get:$62, 63, 67, 71, 75, 77, 82, 91$Here,the total number of observations $n = 8$,which is an even number.Therefore,the median $M$ is the average of the $\left(\frac{n}{2}ight)^{	ext{th}}$ and $\left(\frac{n}{2} + 1ight)^{	ext{th}}$ observations.$M = \frac{\left(\frac{8}{2}ight)^{	ext{th}} 	ext{ observation} + \left(\frac{8}{2} + 1ight)^{	ext{th}} 	ext{ observation}}{2}$$M = \frac{4^{	ext{th}} 	ext{ observation} + 5^{	ext{th}} 	ext{ observation}}{2}$From the ordered list,the $4^{	ext{th}}$ observation is $71$ and the $5^{	ext{th}}$ observation is $75$.$M = \frac{71 + 75}{2} = \frac{146}{2} = 73$Thus,the median of the given data is $73$.

Class	$0-6$	$6-12$	$12-18$	$18-24$	$24-30$	$30-36$
Frequency	$7$	$10$	$12$	$15$	$10$	$6$

Find the median of the observation: $62, 67, 82, 71, 75, 77, 63, 91$.

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