(a)The table shows the distribution of heights ( cm ) of 60 seedlings in a
FURTHER MATHEMATICS
WAEC 2023
(a)The table shows the distribution of heights ( cm ) of 60 seedlings in a vegetable garden.
| Heights(cm) | 0.1 - 0.3 | 0.4 - 0.6 | 0.7 - 0.9 | 1.0 - 1.4 | 1.5 - 1.9 | 2.0 - 22 | 2.3 - 2.5 |
| Frequency | 6 | 9 | 12 | 15 | 3 | 6 | 9 |
Draw a histogram for the distribution.
(b) The table shows the distribution of heights ( cm ) of 60 seedlings in a vegetable garden.
| Heights(cm) | 0.1 - 0.3 | 0.4 - 0.6 | 0.7 - 0.9 | 1.0 - 1.4 | 1.5 - 1.9 | 2.0 - 2.2 | 2.3 - 2.5 |
| Frequency | 6 | 9 | 12 | 15 | 3 | 6 | 9 |
Use the histogram to estimate the modal height of the seedlings.
Explanation
(a)
| Class intervals | Class boundaries | Frequency |
| 0.1 - 0.3 | 0.05 - 0.35 | 6 |
| 0.4 - 0.6 | 0.35 - 0.65 | 9 |
| 0.7 - 0.9 | 0.65 - 0.95 | 12 |
| 1.0 - 1.4 | 0.95 - 1.45 | 15 |
| 1.5 - 1.9 | 1.45 - 1.95 | 3 |
| 2.0 - 2.2 | 1.95 - 2.25 | 6 |
| 2.3 - 2.5 | 2.25 - 2.55 | 9 |
(b) The estimate of the modal height of the seedlings is 1.08
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