5 The tables summarise the heights, \(h \mathrm {~cm}\), of 60 girls and 60 boys.
| Height of girls (cm) | \(140 < h \leqslant 150\) | \(150 < h \leqslant 160\) | \(160 < h \leqslant 170\) | \(170 < h \leqslant 180\) | \(180 < h \leqslant 190\) |
| Frequency | 12 | 21 | 17 | 10 | 0 |
| Height of boys \(( \mathrm { cm } )\) | \(140 < h \leqslant 150\) | \(150 < h \leqslant 160\) | \(160 < h \leqslant 170\) | \(170 < h \leqslant 180\) | \(180 < h \leqslant 190\) |
| Frequency | 0 | 20 | 23 | 12 | 5 |
- On graph paper, using the same set of axes, draw two cumulative frequency graphs to illustrate the data.
- On a school trip the students have to enter a cave which is 165 cm high. Use your graph to estimate the percentage of the girls who will be unable to stand upright.
[0pt] - The students are asked to compare the heights of the girls and the boys. State one advantage of using a pair of box-and-whisker plots instead of the cumulative frequency graphs to do this. [1]