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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 $137$.

Class	$0-10$	$10-20$	$20-30$	$30-40$	$40-50$	$50-60$	$60-70$	$70-80$
Frequency	$2$	$6$	$8$	$16$	$20$	$18$	$16$	$14$

Class	$0-10$	$10-20$	$20-30$	$30-40$	$40-50$	$50-60$	$60-70$
Frequency	$4$	$7$	$x$	$18$	$15$	$8$	$7$

Find the median of the following frequency distribution:

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

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

Similar Questions

If $M - \bar{x} = 2$ and $Z = 20.5$,then the median $M = \ldots$ (in $.5$)

Find the median of the following frequency distribution:

Class $0-10$ $10-20$ $20-30$ $30-40$ $40-50$ $50-60$ $60-70$ $70-80$

Frequency $2$ $6$ $8$ $16$ $20$ $18$ $16$ $14$

The mode of the following frequency distribution is $37$. Find the missing frequency $x$.
Class $0-10$ $10-20$ $20-30$ $30-40$ $40-50$ $50-60$ $60-70$
Frequency $4$ $7$ $x$ $18$ $15$ $8$ $7$

In the usual notations,$Z - M = \ldots \ldots \ldots \quad (M - \bar{x})$

$\Sigma(x_{i} - \bar{x}) = \ldots \ldots \ldots$

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