Question

For the following distribution:

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 modal class is:

Options

• 15

• 25

• 30

• 35

Answer 1

25

Explanation:

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

From the table, `N/2 = 66/2 = 33`, which lies in the interval 10 – 15.

Hence, lower limit of the median class is 10.

The highest frequency is 20, which lies in between the interval 15 – 20.

Hence, lower limit of modal class is 15.

Therefore, required sum is 10 + 15 = 25.