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0580 P42 - Nov 2020 - Q4 - 12 marks
13489

The heights h cm of 120 plants are shown by the cumulative frequency graph.

Cumulative frequency of plant heights

(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)\(0<h\le10\)\(10<h\le20\)\(20<h\le30\)\(30<h\le50\)
Frequency2186238

(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]

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