Higher January 2023 Paper 2 Q15
15 Here is a list giving the numbers of runs scored last week by the eleven members of cricket team A.
2 3 4 6 21 26 27 32 34 61 72
The interquartile range of the numbers of runs scored last week by the eleven members of cricket team B was 42
Using a suitable calculation, write down one comparison between the numbers of runs scored by the members of cricket team A and the members of cricket team B.
Show your working clearly.
(3)
| Scheme | Marks |
|---|---|
| M1 | |
| A1 | |
| The IQR for Team B was higher than the IQR for Team A oe or Team B had an interquartile range of “12” more than team A or The runs scored were more spread out for Team B than for Team A oe or The runs for Team A were more consistent oe | B1ft |
| (3) | |
| (3 marks) |
Notes
M1: 4 and 34 clearly indicated – either in list or in working (condone 26 also indicated in list)
A1: For IQR for team A = 34 – 4 (= 30)
B1ft: Must ft dep on IQR stated for team A
Either comparing the IQR correctly or for giving a comparison in context about spread as long as not contradicted by further statements as this would be choice
NOT
Team B scored more runs than team A
The average score of B is higher than the average score of A
The IQR of A was 30 while the IQR of B was 42
The range of B was more than the range of A