Higher June 2023 Paper 2R Q14
14 Akari played a computer game eleven times.
Here are her scores.
25 20 28 27 26 22 23 29 20 29 26
(a) Find the interquartile range of her scores. (3)
Machi played the same computer game eleven times.
The interquartile range for Machi’s scores was 9
(b) Who had the more consistent scores, Akari or Machi?
Give a reason for your answer. (1)
Give a reason for your answer. (1)
| Scheme | Marks |
|---|---|
| 20 20 22 23 25 26 26 27 28 29 29 | M1 |
| 22 and 28 identified for LQ and UQ eg 20 20 22 23 25 26 26 27 28 29 29 | M1 |
| Correct answer scores full marks (unless from obvious incorrect working) Answer: 6 | A1 |
| (3) |
Notes
M1: for ordering the numbers
Allow one omission or error in the list
M1: for identifying 22 and 28
(22 and 28 implies the first M1)
| Scheme | Marks |
|---|---|
| Akari and reason using IQR | B1 |
| (1) | |
| (4 marks) |
Notes
B1: ft from part (a)
Akari as the IQR is lower/smaller oe
(IQR must be part of the statement)
Must have a value in (a) to compare the IQRs