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Question
For the following distribution:
| Marks | Number of students |
| Below 10 | 3 |
| Below 20 | 12 |
| Below 30 | 27 |
| Below 40 | 57 |
| Below 50 | 75 |
| Below 60 | 80 |
The modal class is ______.
Options
10 − 20
20 − 30
30 − 40
50 − 60
Solution
The modal class is 30 − 40.
Explanation:
| Marks | Number of students |
Cumulative Frequency |
| Below 10 | 3 | 3 |
| Below 20 | (12 – 3) = 9 | 12 |
| Below 30 | (27 – 12) = 15 | 27 |
| Below 40 | (57 – 27) = 30 | 57 |
| Below 50 | (75 – 57) = 18 | 75 |
| Below 60 | (80 – 75) = 5 | 80 |
Here, we see that the highest frequency is 30, which lies in the interval 30 – 40.
∴ The modal class is 30 − 40.
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