4400 Higher June 2008 Paper 4 Q3
3 The table shows information about the shoe sizes of 20 people.
| Shoe size | Number of people |
|---|---|
| 5 | 3 |
| 6 | 8 |
| 7 | 5 |
| 8 | 2 |
| 9 | 2 |
(a) Find the median shoe size. (2)
(b) Exactly 1 of these 20 people has a collar size of 15.
Jean says “If you choose one of these 20 people at random, the probability that this person will have either a shoe size of 8 or a collar size of 15 is\[\frac{2}{20} + \frac{1}{20} = \frac{3}{20}\]Is Jean correct?
Explain your answer. (2)
Jean says “If you choose one of these 20 people at random, the probability that this person will have either a shoe size of 8 or a collar size of 15 is\[\frac{2}{20} + \frac{1}{20} = \frac{3}{20}\]Is Jean correct?
Explain your answer. (2)
| Scheme | Marks |
|---|---|
| 20/2 or (20 + 1)/2 | M1 |
| 6 | A1 |
| (2) |
| Scheme | Marks |
|---|---|
| Yes, no or not nec’y with consistent reason | B2 |
| (2) | |
| (4 marks) |
Notes
B2: Can’t tell B1