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

10 - 20

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20 - 30

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30 - 40

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50 - 60

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Solution

The correct option is C $30 - 40$
Marks number of students class interval frequency
below $10$ $3$ $0 - 10$ $3$
below $20$ $12$ $10 - 20$ $12 - 3 = 9$
below $30$ $27$ $20 - 30$ $27 - 12 = 15$
below $40$ $57$ $30 - 40$ $57 - 27 = 30$
below $50$ $75$ $40 - 50$ $75 - 57 = 18$
below $60$ $80$ $50 - 60$ $80 - 75 = 5$
Modal class is the class which has the highest frequency.

The highest frequency is $30$ which is associated with the class $30 - 40$
Therefore, the modal class is $30 - 40$

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Similar questions

Marks	Below $10$	Below $20$	Below $30$	Below $40$	Below $50$	Below $60$
No. of students	$3$	$12$	$27$	$57$	$75$	$80$

80, 10, 30, 70, 60, 50, 50, 40, 40, 20, 40, 90, 50, 30, 70, 10, 60, 50, 20, 70, 70, 30, 80, 40, 20, 80, 90,

50, 80, 60, 70, 40, 50, 60, 90, 60, 40, 40, 60

60

80, 10, 30, 70, 60, 50, 50, 40, 40, 20, 40, 90, 50, 30, 70, 10, 60, 50, 20, 70, 70, 30, 80, 40, 20, 80,

90, 50, 80, 60, 70, 40, 50, 60, 90, 60, 40, 40, 60

60

40

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