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(D) To find the median,we first prepare the cumulative frequency table:						Class			Frequency $(f)$			Cumulative Frequency $(cf)$							$65-85$			$4$

Vedclass · Accepted Answer

$137$

Vedclass · Answer

(D) To find the median,we first prepare the cumulative frequency table:						Class			Frequency $(f)$			Cumulative Frequency $(cf)$							$65-85$			$4$			$4$							$85-105$			$5$			$9$							$105-125$			$13$			$22$							$125-145$			$20$			$42$							$145-165$			$14$			$56$							$165-185$			$8$			$64$							$185-205$			$4$			$68$			Here,total frequency $n = 68$.$	herefore \frac{n}{2} = \frac{68}{2} = 34$.The cumulative frequency just greater than $34$ is $42$,which corresponds to the class interval $125-145$.Thus,the median class is $125-145$.Here,$l = 125$,$cf = 22$,$f = 20$,and class size $h = 20$.Using the median formula: $M = l + \left( \frac{\frac{n}{2} - cf}{f} ight) 	imes h$$M = 125 + \left( \frac{34 - 22}{20} ight) 	imes 20$$M = 125 + 12 = 137$.Therefore,the median of the given frequency distribution is $137$.

Length (in mm)	Number of leaves
$118-126$	$3$
$127-135$	$5$
$136-144$	$9$
$145-153$	$12$
$154-162$	$5$
$163-171$	$4$
$172-180$	$2$

Weight (in $kg$)	$40-45$	$45-50$	$50-55$	$55-60$	$60-65$	$65-70$	$70-75$	$75-80$
Number of persons	$4$	$4$	$13$	$5$	$6$	$5$	$2$	$1$

Class	Frequency $(f)$
$110-120$	$6$
$120-130$	$25$
$130-140$	$48$
$140-150$	$72$
$150-160$	$116$
$160-170$	$60$
$170-180$	$38$
$180-190$	$22$
$190-200$	$3$

Find the median of the following frequency distribution:

Class $65-85$ $85-105$ $105-125$ $125-145$ $145-165$ $165-185$ $185-205$

Frequency $4$ $5$ $13$ $20$ $14$ $8$ $4$

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Find the median of the following frequency distribution:

Class Frequency $(f)$

$110-120$ $6$

$120-130$ $25$

$130-140$ $48$

$140-150$ $72$

$150-160$ $116$

$160-170$ $60$

$170-180$ $38$

$180-190$ $22$

$190-200$ $3$

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Class	$65-85$	$85-105$	$105-125$	$125-145$	$145-165$	$165-185$	$185-205$
Frequency	$4$	$5$	$13$	$20$	$14$	$8$	$4$

Find the median of the following frequency distribution: Class $65-85$ $85-105$ $105-125$ $125-145$ $145-165$ $165-185$ $185-205$ Frequency $4$ $5$ $13$ $20$ $14$ $8$ $4$