Question

For the following distribution: Marks Number of students Below $103,$ Below $2012,$ Below $3027,$ Below $4057,$ Below $5075,$ Below $6080$. The modal class is

• A. $10-20$
• B. $20-30$
• C. $30-40$
• D. $50-60$

Answer 1

The correct option is C

$30-40$

Step 1: Create the table

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

Step 2: Calculate modal class

From the table, we see that the highest frequency is $30$.

This lies in the interval $30-40$.

Hence, the correct answer is option $\left(C\right)$.