Higher June 2025 Paper 2 Q12
12. Isaias recorded the number of hours of sleep he had each night last year.
The box plots below show the results.
(a) On which day was the median number of hours of sleep the greatest? [1]
(b) Calculate the range of the number of hours of sleep on Fridays. [1]
(c) Complete the following sentence.
On 25% of Mondays Isaias slept longer than
On 25% of Mondays Isaias slept longer than
.................... hours .................... minutes. [1]
(d) Isaias recorded the number of hours of sleep he had on the 52 Thursdays last year.
On how many Thursdays last year did Isaias sleep for 7 hours or less? [2]
On how many Thursdays last year did Isaias sleep for 7 hours or less? [2]
(e) Which day of the week is Isaias’s sleep pattern the most consistent?
Give a reason for your answer. [1]
Give a reason for your answer. [1]
| Scheme | Marks | Comments |
|---|---|---|
| Saturday | B1 |
| Scheme | Marks | Comments |
|---|---|---|
| 5.8 (hours) or 5 hours 48 mins | B1 | Allow B1 if 5.8 seen but incorrectly converted to hours and mins |
| Scheme | Marks | Comments |
|---|---|---|
| 7 (hours) 24 (minutes) | B1 |
| Scheme | Marks | Comments |
|---|---|---|
| \(0.75 \times 52\) | M1 | |
| = 39 | A1 |
| Scheme | Marks | Comments |
|---|---|---|
| Tuesday AND an appropriate reason e.g. ‘The range and inter-quartile range were at their lowest.’ ‘The range was the smallest on this day.’ ‘The inter-quartile range was the smallest on this day.’ | E1 | Allow e.g. Tuesday AND ‘There was less spread (on Tuesday).’ ‘The upper and lower quartiles are closest on Tuesday.’ Do not accept Tuesday and e.g. Incorrect values used in their reason ‘Median in the middle.’ ‘Equal times above and below the median.’ |
| (6) |