O-LevelMathematicsStatistics4024/12 · Oct/Nov 2023 · Q176 Marks
The heights of 80 plants are measured. The table shows the results. Height (h centimetres) | h≤2 | h≤4 | h≤6 | h≤8 | h≤ 10 | h≤ 12 Cumulative frequency | 4 | 18 | 42 | 60 | 72 | 80 [Figure 17]
- (a)Draw a cumulative frequency diagram to show this information.[2]
- (b)Use your diagram to find an estimate for the interquartile range.[2]
- (c)Plants are sold when they are taller than H centimetres. 28 of these plants are sold. Find the value of H.[2]
This question uses a diagram from the original paper, which isn't shown here. Open the full paper from the past papers archive to see it.
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2023). The mark or mark type is shown in brackets.
- [2] Correct cumulative frequency diagram
- B1 for at least 5 points plotted correctly
- [2] Strict FT their UQ – their LQ evaluated
- FT their increasing curve/polygon
- B1 dep for their UQ written or their LQ written, dependent on increasing curve/polygon
- [2] Correct reading of H when CF is 52
- FT their increasing curve/polygon
- M1 for 52 soi
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