Question

From the following data, the modal class of the table will be:

\[ \begin{array}{|c|c|c|c|c|c|} \hline \text{Class-interval} & 0-10 & 10-20 & 20-30 & 30-40 & 40-50 \\ \hline \text{Frequency (f)} & 11 & 21 & 23 & 14 & 5 \\ \hline \end{array} \]

• A. $10-20$
• B. $20-30$
• C. $30-40$
• D. $40-50$

Hint:

The modal class is the class interval that has the greatest frequency in the distribution.

Answer 1

The Correct Option is B

Step 1: Identify the Modal Class

The modal class is the class interval with the highest frequency.

Step 2: Observe the Frequency Distribution

The given frequency distribution is as follows:

\[ \begin{array}{|c|c|} \hline \text{Class Interval} & \text{Frequency (f)} \\ \hline 0-10 & 11 \\ 10-20 & 21 \\ 20-30 & 23 \\ 30-40 & 14 \\ 40-50 & 5 \\ \hline \end{array} \]

The highest frequency is \( 23 \), which corresponds to the class interval \( 20-30 \).

Step 3: Conclusion

Therefore, the modal class of the given data is \( 20-30 \).