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(B) To find the modal class,we first convert the cumulative frequency distribution into a standard frequency distribution table:						Class Interval

Vedclass · Accepted Answer

$30-40$

Vedclass · Answer

(B) To find the modal class,we first convert the cumulative frequency distribution into a standard frequency distribution table:						Class Interval			Frequency							$0-10$			$3$							$10-20$			$12 - 3 = 9$							$20-30$			$27 - 12 = 15$							$30-40$			$57 - 27 = 30$							$40-50$			$75 - 57 = 18$							$50-60$			$80 - 75 = 5$			The modal class is the class interval with the highest frequency.From the table,the highest frequency is $30$,which corresponds to the class interval $30-40$.Therefore,the modal class is $30-40$.

Marks	Number of students
Below $10$	$3$
Below $20$	$12$
Below $30$	$27$
Below $40$	$57$
Below $50$	$75$
Below $60$	$80$

Height (in $cm$)	Frequency	Cumulative frequency
$150-155$	$12$	$a$
$155-160$	$b$	$25$
$160-165$	$10$	$c$
$165-170$	$d$	$43$
$170-175$	$e$	$48$
$175-180$	$2$	$f$
Total	$50$	-

Age (years)	$30$	$40$	$50$	$60$	$70$	$80$
Cumulative Frequency	$100$	$220$	$350$	$750$	$950$	$1000$

For the following distribution,the modal class is:

Marks Number of students

Below $10$ $3$

Below $20$ $12$

Below $30$ $27$

Below $40$ $57$

Below $50$ $75$

Below $60$ $80$

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For the following distribution,the modal class is: Marks Number of students Below $10$ $3$ Below $20$ $12$ Below $30$ $27$ Below $40$ $57$ Below $50$ $75$ Below $60$ $80$