The modal class of the following table will be:
\[ \begin{array}{|c|c|c|c|c|c|} \hline \text{Class Interval} & 0\text{--}5 & 5\text{--}10 & 10\text{--}15 & 15\text{--}20 & 20\text{--}25 \\ \hline \text{Frequency} & 2 & 7 & 11 & 8 & 6 \\ \hline \end{array} \]
The modal class of the following table will be:
\[ \begin{array}{|c|c|c|c|c|c|} \hline \text{Class Interval} & 0\text{--}5 & 5\text{--}10 & 10\text{--}15 & 15\text{--}20 & 20\text{--}25 \\ \hline \text{Frequency} & 2 & 7 & 11 & 8 & 6 \\ \hline \end{array} \]
Show Hint
- $20$--$25$
- $15$--$20$
- $0$--$5$
- $10$--$15$
The Correct Option is D
Solution and Explanation
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.
\[
\boxed{\text{Modal class }=\,10\text{--}15}
\]
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