O-LevelMathematicsStatistics4024/11 · May/June 2024 · Q178 Marks
The table shows the time that each of 60 children spends in a play area. [Table with Time (t mins) and Frequency: 0<t≤10 (4), 10<t≤40 (7), 40<t≤60 (8), 60<t≤90 (24), 90<t≤120 (17)]
- (a)Draw a cumulative frequency diagram to show this information.[3]
- (b)(i)Use your diagram to estimate the median[1]
- (b)(ii)Use your diagram to estimate the interquartile range[2]
- (b)(iii)Use your diagram to estimate the number of children who spend more than 80 minutes in the play area.[2]
Mark scheme
Marking points from the official mark scheme (May/June 2024). The mark or mark type is shown in brackets.
- [3] Correct cumulative frequency curve
- B2 for at least 3 points plotted correctly
- or B1 for correct cumulative frequencies soi
- [1] Correct reading at CF 30
- FT from their increasing curve
- [2] Correct IQR from their graph
- FT for 2 marks from their increasing curve
- or B1FT for correct reading of their LQ or their UQ
- [2] 60 - their reading at t = 80
- FT for 2 marks from their increasing curve
- or B1 for their reading at 80 from their increasing curve
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