Question

The modal class of the following table will be: 
\[ \begin{array}{|c|c|} \hline \text{Class Interval} & \text{Frequency} \\ \hline 0-5 & 5 \\ \hline 5-10 & 8 \\ \hline 10-15 & 12 \\ \hline 15-20 & 10 \\ \hline 20-25 & 7 \\ \hline \end{array} \]

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

Hint:

The modal class is simply the class with the maximum frequency. For detailed mode calculation, use the mode formula with the modal class.

Answer 1

The Correct Option is D

Step 1: Recall definition of modal class
The modal class is the class interval having the highest frequency.

Step 2: Identify maximum frequency
From the table: - Frequency of 0-5 = 5
- Frequency of 5-10 = 8
- Frequency of 10-15 = 12
- Frequency of 15-20 = 10
- Frequency of 20-25 = 7
The maximum frequency is $12$, corresponding to class $10-15$.

Step 3: Conclusion
Therefore, the modal class is $10-15$.
The correct answer is option (D).