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Exam-Style Question on HistogramsA mathematics exam-style question with a worked solution that can be revealed gradually |
Question id: 830. This question is similar to one that appeared on a GCSE Higher paper in 2025. The use of a calculator is allowed.
The heights of a sample of 174 Premier League footballers are recorded.
The table shows the results.
| Height (\(h\) cm) | \(164 < h \leq 174\) | \(174 < h \leq 178\) | \(178 < h \leq 184\) | \(184 < h \leq 194\) | \(194 < h \leq 206\) |
|---|---|---|---|---|---|
| Frequency | 10 | 32 | 54 | 60 | 18 |
(a) Calculate an estimate of the mean height.
(b) Two different footballers are chosen at random.
Find the probability that both footballers have a height greater than 184 cm and no more than 194 cm.
(c) Complete the histogram to show the information in the frequency table.
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