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(D) To find the median,we first calculate the cumulative frequency $(cf)$:ClassFrequency $(f)$Cumulative Frequency $(cf)$$60-70$$5$$5$$70-80$$15$$20$$

Vedclass · Accepted Answer

$93$

Vedclass · Answer

(D) To find the median,we first calculate the cumulative frequency $(cf)$:ClassFrequency $(f)$Cumulative Frequency $(cf)$$60-70$$5$$5$$70-80$$15$$20$$80-90$$20$$40$$90-100$$30$$70$$100-110$$20$$90$$110-120$$8$$98$Total frequency $N = 98$. So,$N/2 = 98/2 = 49$.The cumulative frequency just greater than $49$ is $70$,which corresponds to the class interval $90-100$. Thus,the median class is $90-100$.Here,$l = 90$,$f = 30$,$cf = 40$,and $h = 10$.Using the formula: $	ext{Median} = l + \left( \frac{\frac{N}{2} - cf}{f} ight) 	imes h$$	ext{Median} = 90 + \left( \frac{49 - 40}{30} ight) 	imes 10$$	ext{Median} = 90 + \left( \frac{9}{30} ight) 	imes 10 = 90 + 3 = 93$.

Class	$10-20$	$20-30$	$30-40$	$40-50$	$50-60$	$60-70$	$70-80$
Frequency	$5$	$3$	$4$	$f$	$2$	$6$	$13$

Class	$0-10$	$10-20$	$20-30$	$30-40$	$40-50$	$50-60$
Frequency	$7$	$12$	$x$	$28$	$y$	$9$

Class	$15-35$	$35-55$	$55-75$	$75-95$	$95-115$
Frequency	$17$	$f_1$	$32$	$f_2$	$19$

Class	$0-4$	$4-8$	$8-12$	$12-16$	$16-20$	$20-24$	$24-28$	$28-32$	$32-36$
Frequency	$6$	$8$	$17$	$23$	$16$	$15$	$f$	$4$	$3$

Class	$0-10$	$10-20$	$20-30$	$30-40$	$40-50$	$50-60$	$60-70$
Frequency	$5$	$12$	$18$	$40$	$15$	$7$	$3$

Find the median of the following frequency distribution:

Class $60-70$ $70-80$ $80-90$ $90-100$ $100-110$ $110-120$

Frequency $5$ $15$ $20$ $30$ $20$ $8$

Similar Questions

The mean of the following frequency distribution is $52$. Find the missing frequency $f$.

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The mean of the following frequency distribution is $65$ and the total frequency is $100$. Find the missing frequencies $f_{1}$ and $f_{2}$.

Class $15-35$ $35-55$ $55-75$ $75-95$ $95-115$

Frequency $17$ $f_1$ $32$ $f_2$ $19$

The mean of the following data is $16.$ Find the missing frequency $f.$

Class $0-4$ $4-8$ $8-12$ $12-16$ $16-20$ $20-24$ $24-28$ $28-32$ $32-36$

Frequency $6$ $8$ $17$ $23$ $16$ $15$ $f$ $4$ $3$

Find the mean,median and mode of the following frequency distribution:

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

Frequency $5$ $12$ $18$ $40$ $15$ $7$ $3$

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Find the median of the following frequency distribution: Class $60-70$ $70-80$ $80-90$ $90-100$ $100-110$ $110-120$ Frequency $5$ $15$ $20$ $30$ $20$ $8$

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The mean of the following frequency distribution is $52$. Find the missing frequency $f$. Class $10-20$ $20-30$ $30-40$ $40-50$ $50-60$ $60-70$ $70-80$ Frequency $5$ $3$ $4$ $f$ $2$ $6$ $13$

The mode of the following data is $33 \frac{1}{3}$ and the total frequency is $100$. Find the missing frequencies $x$ and $y$. Class $0-10$ $10-20$ $20-30$ $30-40$ $40-50$ $50-60$ Frequency $7$ $12$ $x$ $28$ $y$ $9$

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