Find the median of the following frequency di | vedclass

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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

$137$

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(D) To find the median,we first prepare the cumulative frequency table:						Class			Frequency $(f)$			Cumulative Frequency $(cf)$							$65-85$			$4$			$4$							$85-105$			$5$			$9$							$105-125$			$13$			$22$							$125-145$			$20$			$42$							$145-165$			$14$			$56$							$165-185$			$8$			$64$							$185-205$			$4$			$68$			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 (seconds)	$13.8-14.0$	$14.0-14.2$	$14.2-14.4$	$14.4-14.6$	$14.6-14.8$	$14.8-15.0$
Frequency	$2$	$4$	$5$	$71$	$48$	$20$

Class	$10-30$	$30-50$	$50-70$	$70-90$	$90-110$
Frequency	$17$	$f_{1}$	$32$	$f_{2}$	$19$

Monthly income range (in $Rs.$)	Number of families
Income more than $10000$	$100$
Income more than $13000$	$85$
Income more than $16000$	$69$
Income more than $19000$	$50$
Income more than $22000$	$33$
Income more than $25000$	$15$

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

The times,in seconds,taken by $150$ athletes to run a $110\, m$ hurdle race are tabulated below:

Class (seconds) $13.8-14.0$ $14.0-14.2$ $14.2-14.4$ $14.4-14.6$ $14.6-14.8$ $14.8-15.0$

Frequency $2$ $4$ $5$ $71$ $48$ $20$

The number of athletes who completed the race in less than $14.6\, s$ is:

The mean of the following frequency distribution is $60$ and the total frequency is $120$. Find the missing frequencies $f_{1}$ and $f_{2}$.

Class $10-30$ $30-50$ $50-70$ $70-90$ $90-110$

Frequency $17$ $f_{1}$ $32$ $f_{2}$ $19$

Find the median of the following frequency distribution:

Class $0-5$ $5-10$ $10-15$ $15-20$ $20-25$ $25-30$ $30-35$

Frequency $5$ $15$ $15$ $8$ $4$ $2$ $1$

If mode $= 25$ and mean $= 19,$ then median $= \dots$

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