Question

The modal class of the following table will be: 
\[ \begin{array}{|c|c|c|c|c|c|} \hline \text{Class Interval} & 0\text{--}5 & 5\text{--}10 & 10\text{--}15 & 15\text{--}20 & 20\text{--}25 \\ \hline \text{Frequency} & 2 & 7 & 11 & 8 & 6 \\ \hline \end{array} \]

• A. $20$--$25$
• B. $15$--$20$
• C. $0$--$5$
• D. $10$--$15$

Hint:

To find the modal class from grouped data, simply select the class with the highest frequency. Use the grouping formula only if the exact mode value is required.

Answer 1

The Correct Option is D

Step 1: Identify the highest frequency
Frequencies are $2,\,7,\,11,\,8,\,6$. The maximum is $11$.

Step 2: Choose the corresponding class
The class with frequency $11$ is $10$--$15$ $\Rightarrow$ this is the modal class.
\[ \boxed{\text{Modal class }=\,10\text{--}15} \]