Question

Given the following distribution table:

Class	$0-5$	$5-10$	$10-15$	$15-20$	$20-25$
Frequency	$10$	$15$	$12$	$20$	$9$

The sum of lower limits of the Median class and the Modal class is:

• A. $15$
• B. $25$
• C. $30$
• D. $35$

Answer 1

Answer: (B)

Answer:-

The cumulative frequency Table is:-

Class	Frequency	Cumulative frequency
0-5	10	10
5-10	15	25
10-15	12	37
15-20	20	57
20-25	9	66

Here, $\frac{N}{2}=\frac{66}{2}=33$

Thus $37$ is just greater than $33$,

$\therefore$ The median class is "$10-15.$"

The lower limit of the median class is 10.

Modal class = class with maximum frequency.

$\therefore$ Modal class is $15-20.$

The lower limit of the modal class is $15$.

Sum of lower limits of median class and modal class = $10+15=25$