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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

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$30-40$

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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			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 $60$	$80$

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

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 $60$ $80$