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(D) To find the median class and modal class,we first prepare the cumulative frequency table:						Class			Frequency $(f)$			Cumulative Frequency $(cf

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$25$

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(D) To find the median class and modal class,we first prepare the cumulative frequency table:						Class			Frequency $(f)$			Cumulative Frequency $(cf)$							$0-5$			$10$			$10$							$5-10$			$15$			$25$							$10-15$			$12$			$37$							$15-20$			$20$			$57$							$20-25$			$9$			$66$			$1$. Total frequency $N = 66$. So,$\frac{N}{2} = \frac{66}{2} = 33$.$2$. The cumulative frequency just greater than $33$ is $37$,which corresponds to the class interval $10-15$. Thus,the median class is $10-15$,and its lower limit is $10$.$3$. The highest frequency is $20$,which corresponds to the class interval $15-20$. Thus,the modal class is $15-20$,and its lower limit is $15$.$4$. The sum of the lower limits is $10 + 15 = 25$.

Class	$0-20$	$20-40$	$40-60$	$60-80$	$80-100$
Frequency	$5$	$15$	$20$	$18$	$2$

Class	$30-40$	$40-50$	$50-60$	$60-70$	$70-80$	$80-90$	$90-100$
Frequency	$5$	$7$	$12$	$10$	$8$	$6$	$2$

Income (in $Rs.$)	Number of families
$0-5000$	$8$
$5000-10000$	$26$
$10000-15000$	$41$
$15000-20000$	$16$
$20000-25000$	$3$
$25000-30000$	$3$
$30000-35000$	$2$
$35000-40000$	$1$

For the following distribution:

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

Frequency $10$ $15$ $12$ $20$ $9$

the sum of the lower limits of the median class and the modal class is:

Similar Questions

If $M = 72$ and $\bar{x} = 70$,then $Z = \ldots \ldots \ldots \ldots$

Find the median of the following frequency distribution:
Class $0-20$ $20-40$ $40-60$ $60-80$ $80-100$
Frequency $5$ $15$ $20$ $18$ $2$

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

Class $30-40$ $40-50$ $50-60$ $60-70$ $70-80$ $80-90$ $90-100$

Frequency $5$ $7$ $12$ $10$ $8$ $6$ $2$

The monthly income of $100$ families is given as follows:

Income (in $Rs.$) Number of families

$0-5000$ $8$

$5000-10000$ $26$

$10000-15000$ $41$

$15000-20000$ $16$

$20000-25000$ $3$

$25000-30000$ $3$

$30000-35000$ $2$

$35000-40000$ $1$

Calculate the modal income (in $Rs.$).

In a frequency distribution with total frequency $48$,$\bar{x}=70$,$\Sigma f_{i}=43+f$,and $A=66$. Then,the missing frequency $f=$ .........

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Class	$0-5$	$5-10$	$10-15$	$15-20$	$20-25$
Frequency	$10$	$15$	$12$	$20$	$9$

For the following distribution: Class $0-5$ $5-10$ $10-15$ $15-20$ $20-25$ Frequency $10$ $15$ $12$ $20$ $9$ the sum of the lower limits of the median class and the modal class is: