Higher November 2023 Paper 1 Q11
11 Alice recorded the number of cars going into a village on each of 80 days.
The incomplete table and the incomplete box plot give information about her results.
| Number of cars | |
|---|---|
| Least number | 300 |
| Lower quartile | |
| Median | 900 |
| Upper quartile | |
| Range | 1000 |
(a)
(i) Use the information in the table to complete the box plot.
(ii) Use the information in the box plot to complete the table. (3)
On some of these 80 days Alice saw fewer than 1200 cars going into the village.
(b) Work out an estimate for the number of days Alice saw fewer than 1200 cars going into the village. (2)
| Answer | Mark | Mark scheme |
|---|---|---|
| (i) Box plot | B2 | for fully correct box plot |
| (B1 | for median plotted at 900 or whiskers plotted finishing at 300 and 1300) | |
| (ii) 780 and 1200 | B1 | for 780 and 1200 correctly placed in the table |
Additional guidance
(i) Accept ends that are marked (eg line, cross, dot) or defined by the end of the whiskers if clear
| Answer | Mark | Mark scheme |
|---|---|---|
| 60 | M1 | for a complete method eg \(\dfrac{3}{4} \times 80\) oe |
| A1 | cao |