2025 IGCSE 0580 May/June P41 Q15

9 marks

The height of each of \(140\) basketball players is recorded.

The table shows the results.

Height (\(h\text{ cm}\))	\(160<h\le180\)	\(180<h\le185\)	\(185<h\le190\)	\(190<h\le200\)	\(200<h\le210\)
Frequency	\(7\)	\(12\)	\(31\)	\(70\)	\(20\)

Calculate an estimate of the mean height.[4]
Two of the players are chosen at random.
Find the probability that both players have a height greater than \(190\text{ cm}\) and no more than \(200\text{ cm}\).[2]
Complete the histogram to show the information in the frequency table.[3]

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Answer:(a) \(192\text{ cm}\). (b) \(\dfrac{69}{278}\). (c) Frequency densities \(0.35,2.4,6.2,7,2\), in class order.

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