Question

The median class of the following frequency distribution will be : 

• A. 5-10
• B. 10-15
• C. 15-20
• D. 25-30

Hint:

Always create a Cumulative Frequency column first; it acts as a "running total" to help you locate the middle of your data set.

Answer 1

The Correct Option is B

To find the median class of a frequency distribution, we need to locate the class interval containing the median. Here is the step-by-step process to find the median class:

1. Arrange the frequency distribution in a cumulative frequency table.

Class Interval	Frequency	Cumulative Frequency
0-5	2	2
5-10	8	10
10-15	10	20
15-20	5	25
20-25	4	29
25-30	1	30

1. Calculate the total number of observations, \(N\), which is the sum of all frequencies.

The total number of observations, \(N = 30\).

1. Find \(\frac{N}{2}\), which gives the middle position in the dataset.

\(\frac{N}{2} = 15\).

1. Identify the median class where the cumulative frequency just exceeds \(\frac{N}{2}\).

The cumulative frequency just exceeding 15 is 20, which corresponds to the class interval 10-15.

Therefore, the median class is 10-15.