Find the median of the following frequency di | vedclass

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(D) To find the median,we first calculate the cumulative frequency $(cf)$:  ClassFrequency $(f)$Cumulative Frequency $(cf)$  $0-5$$5$$5$  $5-10$$15$$2

Vedclass · Accepted Answer

$11.67$

Vedclass · Answer

(D) To find the median,we first calculate the cumulative frequency $(cf)$:  ClassFrequency $(f)$Cumulative Frequency $(cf)$  $0-5$$5$$5$  $5-10$$15$$20$  $10-15$$15$$35$  $15-20$$8$$43$  $20-25$$4$$47$  $25-30$$2$$49$  $30-35$$1$$50$Total frequency $N = 50$. So,$N/2 = 25$.The cumulative frequency just greater than $25$ is $35$,which corresponds to the class interval $10-15$.Thus,the median class is $10-15$.Here,$l = 10$,$f = 15$,$cf$ (of preceding class) $= 20$,and $h = 5$.Using the median formula: $	ext{Median} = l + \left( \frac{\frac{N}{2} - cf}{f} ight) 	imes h$$	ext{Median} = 10 + \left( \frac{25 - 20}{15} ight) 	imes 5$$	ext{Median} = 10 + \left( \frac{5}{15} ight) 	imes 5 = 10 + \frac{25}{15} = 10 + 1.666... = 11.67$.

Class	$0-10$	$10-20$	$20-30$	$30-40$	$40-50$
Frequency	$6$	$x$	$17$	$y$	$8$

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

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

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

Find the median of the following frequency distribution:

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

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

Similar Questions

The mean of the following data is $26.5$ and the total frequency is $60$. Find the missing frequencies $x$ and $y$.
Class $0-10$ $10-20$ $20-30$ $30-40$ $40-50$
Frequency $6$ $x$ $17$ $y$ $8$

Find the median of the following frequency distribution:

Class Frequency $(f)$

$110-120$ $6$

$120-130$ $25$

$130-140$ $48$

$140-150$ $72$

$150-160$ $116$

$160-170$ $60$

$170-180$ $38$

$180-190$ $22$

$190-200$ $3$

The mean and median of a frequency distribution are $72.5$ and $73.9$ respectively. Then,the mode of the data is $\ldots \ldots \ldots . . .$

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

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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Find the median of the following frequency distribution: Class $0-5$ $5-10$ $10-15$ $15-20$ $20-25$ $25-30$ $30-35$ Frequency $5$ $15$ $15$ $8$ $4$ $2$ $1$