0580 P42 - Nov 2020 - Q4 - 12 marks
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The heights h cm of 120 plants are shown by the cumulative frequency graph.
(a(i)) Estimate the median. [1]
(a(ii)) Estimate the interquartile range. [2]
(a(iii)) Estimate the 60th percentile. [1]
(a(iv)) Estimate the number taller than 40 cm. [2]
| Height (cm) | \(0<h\le10\) | \(10<h\le20\) | \(20<h\le30\) | \(30<h\le50\) |
|---|---|---|---|---|
| Frequency | 2 | 18 | 62 | 38 |
(b(i)) Estimate the mean height. [4]
(b(ii)) In a histogram, the bar for \(10<h\le20\) is 7.2 cm high. Find the height for \(30<h\le50\). [2]