Question

Consider the following distribution:

Class	0 – 5	5 – 10	10 – 15	15 – 20	20 – 25
Frequency	10	15	12	20	9

The sum of the lower limits of the median class and the modal class is ______.

Options

• 15

• 25

• 30

• 35

Answer 1

The sum of the lower limits of the median class and the modal class is 25.

Explanation:

Frequencies cumulative: 10, 25, 37, 57, 66 so N = 66 and `N/2 = 33`. The cumulative frequency just greater than 33 is 37, so the median class is 10 – 15 (lower limit = 10).

The highest frequency is 20 (in class 15 – 20), so the modal class is 15 – 20 (lower limit = 15).

Sum of the lower limits = 10 + 15 = 25.