Higher June 2023 Paper 1 Q14
14 Here is a list of 11 whole numbers in numerical order.
The lower quartile, median, upper quartile and highest value are missing.
| 5 | 8 | 13 | 19 | 25 | 28 | 34 |
- median \(= 2 \times\) lower quartile
- upper quartile \(= 2.5 \times\) lower quartile
- range \(= 2 \times\) interquartile range
Complete the list. [2 marks]
| Answer | Mark | Comments |
|---|---|---|
| 12 24 30 41 | B2 | B1 their median \(= 2 \times\) their LQ with the first eight values in order and their UQ and their last number \(\geqslant\) their median or their UQ \(= 2.5 \times\) their LQ with the first ten numbers in order and their last number \(\geqslant\) their UQ or their range \(= 2 \times\) their interquartile range with all values in order |
Additional guidance
| Take the boxes to be the LQ, median, UQ and highest value in that order | |
| Decimal values can score up to B1 eg 11.5 23 29 40 has median \(= 2 \times\) LQ | B1 |
| Ignore blank boxes for B1 | |
| If all boxes are blank, mark the working lines |