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(C) To find the median,we first calculate the cumulative frequency $(cf)$:ClassFrequency $(f)$Cumulative Frequency $(cf)$$0-10$$2$$2$$10-20$$6$$8$$20-

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$49$

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(C) To find the median,we first calculate the cumulative frequency $(cf)$:ClassFrequency $(f)$Cumulative Frequency $(cf)$$0-10$$2$$2$$10-20$$6$$8$$20-30$$8$$16$$30-40$$16$$32$$40-50$$20$$52$$50-60$$18$$70$$60-70$$16$$86$$70-80$$14$$100$Total frequency $N = 100$. So,$N/2 = 50$.The cumulative frequency just greater than $50$ is $52$,which corresponds to the class interval $40-50$.Thus,the median class is $40-50$.Here,$l = 40$,$f = 20$,$cf = 32$,and $h = 10$.Using the median formula: $	ext{Median} = l + \left( \frac{N/2 - cf}{f} ight) 	imes h$$	ext{Median} = 40 + \left( \frac{50 - 32}{20} ight) 	imes 10$$	ext{Median} = 40 + \left( \frac{18}{20} ight) 	imes 10 = 40 + 9 = 49$.

Class	$10-25$	$25-40$	$40-55$	$55-70$	$70-85$	$85-100$
Frequency	$5$	$21$	$21$	$8$	$25$	$20$

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

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

Similar Questions

The median of the following frequency distribution is $49$ and the total frequency is $100$. Find the missing frequencies $x$ and $y$.

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

Frequency $2$ $6$ $8$ $x$ $20$ $18$ $y$ $14$

Find the median of the following frequency distribution:

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

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

The median class in the following frequency distribution is $\ldots \ldots \ldots \ldots .$

Class $10-25$ $25-40$ $40-55$ $55-70$ $70-85$ $85-100$

Frequency $5$ $21$ $21$ $8$ $25$ $20$

In the formula $M = l + \frac{(\frac{n}{2} - cf)}{f} \times h$ for the median,$l = \ldots \ldots \ldots$

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:

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

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