Higher November 2024 Paper 1 Q9
9 The cumulative frequency graph gives information about the marks that 60 students got in a test.
For these 60 students
the highest mark was 74
the lowest mark was 8
(a) On the grid below, draw a box plot for the distribution of the marks.
The pass mark for the test was 40
Sian says,
“30% of the 60 students passed the test.”
(b) Is Sian correct?
You must show how you get your answer. (3)
You must show how you get your answer. (3)
| Answer | Mark | Mark scheme |
|---|---|---|
| Box plot | B3 | for a fully correct box plot |
| (B2 | for a box drawn and at least three correctly plotted values from 8, 25, 34, 42, 74) | |
| (B1 | for correctly identifying one of LQ (25), Median (34), UQ (42) from the cf graph) |
Additional guidance
Box can be any height. Accept ends that are marked (eg line, cross, dot) or defined by the ends of the whiskers if clear
For LQ accept value in range 24 to 26
May be implied by one of these values being correctly plotted
| Answer | Mark | Mark scheme |
|---|---|---|
| Yes with supporting evidence | M1 | for \(30 \div 100 \times 60\ (= 18)\) |
| M1 | for reading from the graph at cf = \(60 - \text{``}18\text{''}\ (= 40)\) | |
| C1 | for correct decision and correct figures | |
| Alternative | ||
| M1 | for reading from the graph at mark = 40 (= 42) | |
| M1 | for \((60 - \text{``}42\text{''}) \div 60 \times 100\ (= 30)\) or for \(60 - \text{``}42\text{''}\ (= 18)\) and \(30 \div 100 \times 60\ (= 18)\) | |
| C1 | for correct decision and correct figures |