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Question
State the modal class.
| Class Interval | 50 - 55 | 55 - 60 | 60 - 65 | 65 - 70 | 70 - 75 | 75 - 80 | 80 - 85 | 85 - 90 |
| Frequency | 5 | 20 | 10 | 10 | 9 | 6 | 12 | 8 |
Solution
| C.I. | `f` | `x` | `u = (x - "A")/i` | `f . u` | |
| 50 - 55 | 5 | 52·5 | -3 | -15 | |
| 55 - 60 | 20 | 57·5 | -2 | -40 | |
| 60 - 65 | 10 | 62·5 | -1 | -10 | |
| 65 - 70 | 10 | 67·5 | A = 67·5 | 0 | 0 |
| 70 - 75 | 9 | 72·5 | 1 | 9 | |
| 75 - 80 | 6 | 77·5 | 2 | 12 | |
| 80 - 85 | 12 | 82·5 | 3 | 36 | |
| 85 - 90 | 8 | 87·5 | 4 | 32 | |
| `sumf = 80` | `sumf . u = 24` |
Modal class = 55 - 60.
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RELATED QUESTIONS
The following distribution gives the state-wise teacher-student ratio in higher secondary schools of India. Find the mode and mean of this data. Interpret the two measures.
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Number of states/U.T. |
| 15 − 20 | 3 |
| 20 − 25 | 8 |
| 25 − 30 | 9 |
| 30 − 35 | 10 |
| 35 − 40 | 3 |
| 40 − 45 | 0 |
| 45 − 50 | 0 |
| 50 − 55 | 2 |
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| Class-interval: | 0 - 10 | 10 - 20 | 20 - 30 | 30 - 40 | 40 - 50 | 50 - 60 | 60 - 70 | 70 - 80 |
| Frequency: | 5 | 8 | 7 | 12 | 28 | 20 | 10 | 10 |
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| Class-interval: | 10 - 15 | 15 - 20 | 20 - 25 | 25 - 30 | 30 - 35 | 35 - 40 |
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| Number of workers: | 12 | 14 | 8 | 6 | 10 |
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| Frequency | 15 | 6 | 18 | 10 |
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For the following distribution
| Marks | No. of students |
| Less than 20 | 4 |
| Less than 40 | 12 |
| Less than 60 | 25 |
| Less than 80 | 56 |
| Less than 100 | 74 |
| Less than 120 | 80 |
the modal class is?
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| Marks | Number of students |
| Below 10 | 3 |
| Below 20 | 12 |
| Below 30 | 27 |
| Below 40 | 57 |
| Below 50 | 75 |
| Below 60 | 80 |
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| Number of girls | 4 | 11 | 29 | 40 | 46 | 51 |
