O-LevelMathematicsStatistics4024/21 · May/June 2023 · Q48 Marks
The cumulative frequency diagram shows the amount of fuel, f litres, bought by 100 customers at a service station one day. [Figure 4.1]
- (a)(i)Use the diagram to estimate the median[1]
- (a)(ii)Use the diagram to estimate the interquartile range.[2]
- (b)That day the price of a litre of fuel at the service station was $1.75. Use the diagram to find the fraction of customers who spent more than $91.00 on fuel.[3]
- (c)Complete the frequency table for the amount of fuel bought by these 100 customers. Amount of fuel (f litres) | 10 < f ≤ 20 | 20 < f ≤ 30 | 30 < f ≤ 40 | 40 < f ≤ 50 | 50 < f ≤ 60 | 60 < f ≤ 70 | 70 < f ≤ 80 Frequency | 14 | 38 | 20 | | | |[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 (May/June 2023). The mark or mark type is shown in brackets.
- [1] (a)(i) 28 to 30 Not including 28 or 30
- [2] (a)(ii) 16 to 20 B1 for 23 to 24.5 or 41 to 43 seen
- [3] (b) 12/100 or 6/50 or 3/25 oe fraction B2 for 12 or (100-88)/100 oe or 88/100 oe or M1 for 91/1.75 soi
- [2] (c) 14 8 4 2 B1 for 2 or more correct
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