For the following distribution :
Marks | Number of students |
Below 10 Below 20 Below 30 Below 40 Below 50 Below 60 |
3 12 27 57 75 80 |
the modal class is
(A) 10-20 (B) 20-30 (C) 30-40 (D) 50-60
Answer. [C]
Solution.
Frequency distribution: It tells how frequencies are distributed over values in a frequency distribution. However mostly we use frequency distribution to
summarize categorical variables.
Marks | Frequency | Cumulative Frequency |
0-10 | 3 | 3 |
10-20 | 12-3=9 | 12 |
20-30 | 27-12=15 | 27 |
30-40 | 57-27=30 | 57 |
40-50 | 75-57=18 | 75 |
50-60 | 80-75=5 | 80 |
=80 |
The class with highest frequency is 30-40
Hence 30 – 40 is the modal class.