Foundation June 2024 Paper 1 Q15
15 Tessa recorded the times that 15 adults took to complete a run.
She showed her results in a stem and leaf diagram.
(a) Find the median. (1)
(b) Find the range. (2)
Tessa also recorded the times that 15 children took to complete the run.
For the children, the median was 75 minutes.
(c) Compare the times that the adults took with the times that the children took. (1)
| Answer | Mark | Mark scheme |
|---|---|---|
| 64 | B1 | cao |
| Answer | Mark | Mark scheme |
|---|---|---|
| 36 | M1 | for identifying 81 and 45 as the key numbers, eg \(81 - 45\) or \(45 - 81\) or 45 to 81 |
| A1 | cao |
Additional guidance
It is insufficient to identify these on the diagram (eg as 1, 5)
Answer of \(-36\) gets M1A0
| Answer | Mark | Mark scheme |
|---|---|---|
| comparison | C1 | for a correct comparison of medians that could ft their incorrect median in (a) Acceptable examples The adults were faster because they have the smaller median The adults were [11] minutes faster (on average) The adults were faster The adults took less time The children were slower The children took more time Children took [11] minutes more (on average) Children had a larger median than the adults. Not acceptable examples The children were faster The adults median was 64, the children’s median was 75 11 minutes difference The children had more time to run than the adults |
Additional guidance
Statement must be entirely true and not contradictory
Figures not required in comparison, but if seen must be correct.
Where [11] is the difference between 75 and their (a).
If median in (a) is greater than 75 then converse statements would be correct ft.