Drawing a curve for plant heights
Drawing a curve for plant heights
Secondary 4
8 marks
The table shows the heights, \(h\) cm, of \(80\) plants.
| Height, \(h\) cm | \(10<h\le 15\) | \(15<h\le 20\) | \(20<h\le 25\) | \(25<h\le 30\) | \(30<h\le 35\) | \(35<h\le 40\) |
|---|---|---|---|---|---|---|
| Frequency | \(4\) | \(10\) | \(26\) | \(24\) | \(12\) | \(4\) |
- Construct a cumulative frequency table.[2]
- On the grid below, draw the cumulative frequency curve for \(10\le h\le 40\).[3]
- Use your curve to estimate[3]
- the number of plants that are at most \(28\) cm tall,
- the percentage of plants that are taller than \(32\) cm.
Solution:
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Answer:(a) \(4,14,40,64,76,80\) at \(15,20,25,30,35,40\) cm (b) Smooth increasing curve through \((10,0),(15,4),(20,14),(25,40),(30,64),(35,76),(40,80)\) (c)(i) about \(56\) (accept \(52\) to \(58\)) (ii) about \(12.5\%\) (accept \(10\%\) to \(15\%\))
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