QQuestion
Find the mode of the following frequency distribution :
| Class | Frequency |
| 50 – 59 | 5 |
| 60 – 69 | 20 |
| 70 – 79 | 40 |
| 80 – 89 | 50 |
| 90 – 99 | 30 |
| 100 – 109 | 6 |
✓Answer
| Class | Class boundary | Frequency |
| 50 – 59 | 49.5 – 59.5 | 5 |
| 60 – 69 | 59.5 – 69.5 | 20 |
| 70 – 79 | 69.5 – 79.5 | 40 |
| 80 – 89 | 79.5 – 89.5 | 50 |
| 90 – 99 | 89.5 – 99.5 | 30 |
| 100 – 109 | 99.5 – 109.5 | 6 |
Modal class = 79.5 – 89.5
- = 79.5
- = 50
- = 40
- = 30
- = 10
Mode = 79.5 + (50 - 40\over 2×50 - 40 - 30) × 10
= 79.5 + (10\over 30) × 10
= 79.5 + (100\over 30)
= 82.833
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