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Question

Mathematics Question on Statistics

Marks :Below 10Below 20Below 30Below 40Below 50
Number of Students :312275775
For the above distribution, the modal class is :
A

45585

B

20-30

C

30-40

D

40-50

Answer

30-40

Explanation

Solution

The frequency table is obtained as follows: \begin{array}{|c|c|} \hline \text{Class Interval (Marks)} & \text{Frequency (Number of Students)} \\\ \hline 0 - 10 & 3 \\\ 10 - 20 & 9 \\\ 20 - 30 & 15 \\\ 30 - 40 & 30 \\\ 40 - 50 & 18 \\\ \hline \end{array} The modal class is the class with the highest frequency. From the table, the highest frequency is 30, corresponding to the class interval 304030 - 40.