Choose the correct answer from the given four options : For the f… - Vidyadip

MCQ

Choose the correct answer from the given four options : For the following distribution :

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

the modal class is :

A
$10-20$
B
$20-30$
✓
$30-40$
D
$50-60$

✓

Answer

Correct option: C.

$30-40$

Here,

Marks	Number of students	Cumulative frequency
Below $10$	$3 = 3$	$3$
$10-20$	$(12 - 3) = 9$	$12$
$20-30$	$(27 - 12) = 15$	$27$
$30-40$	$(57 - 27) = 30$	$57$
$40-50$	$(75 - 57) = 18$	$75$
$50-60$	$(80 - 75) = 5$	$80$

Here, we see that the highest frequency is $30.$
which lies in the inteval $30-40.$

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