Higher January 2023 Paper 2R Q15
15 Here are the numbers of aces that Rutger served in each of 11 tennis matches.
1 1 2 4 6 8 8 9 11 12 15
Show your working clearly. (2)
Kim also plays in 11 tennis matches.
For Kim
the median number of aces is 11
the interquartile range of the numbers of aces is 5
| Scheme | Marks |
|---|---|
| 11 − 2 | M1 |
| Working required Answer: 9 | A1 |
| (2) |
Notes
M1: 2 and 11 clearly identified either in list or stated
A1: dep on M1
| Scheme | Marks |
|---|---|
| (i) Kim as she has a higher median | B1 |
| (1) |
Notes
B1: oe, ft their median if value given
Acceptable examples
Kim as she has a higher median
Kim as/because her median is 11 and/but/whereas Rutger’s is 8
Kim’s median is 3 more (than Rutger’s)
Kim as Rutger’s median is 3 less
Not acceptable examples
Kim’s median is 11 and Rutger’s is 8
Kim as she has a higher median and a lower IQR
| Scheme | Marks |
|---|---|
| (ii) Kim as she has a smaller IQR | B1 |
| (1) | |
| (4 marks) |
Notes
B1: oe, ft their part (a)
Acceptable examples
Kim as she has a smaller IQR
Kim as/because her IQR is 5 and/but/whereas Rutger’s is 9
Kim’s IQR is 4 less (than Rutger’s)
Kim as Rutger’s IQR is 4 more
Not acceptable examples
Kim’s IQR is 5 and Rutger’s is 9
Kim as she has a higher median and a lower IQR