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

Step 1: Understanding the Concept:
The median class is the class interval whose cumulative frequency is just greater than or equal to $n/2$, where $n$ is the total frequency.
Step 2: Calculating Cumulative Frequency (cf):

0-5: $cf = 2$
5-10: $cf = 2 + 8 = 10$
10-15: $cf = 10 + 10 = 20$
15-20: $cf = 20 + 5 = 25$
20-25: $cf = 25 + 4 = 29$
25-30: $cf = 29 + 1 = 30$
Step 3: Finding Median Class:
Total frequency ($n$) = 30.
$n/2 = 30/2 = 15$.
The cumulative frequency just greater than or equal to 15 is 20, which corresponds to the class interval 10-15.
Step 4: Final Answer:
The median class is 10-15.