4MA0 Foundation January 2017 Paper 2R Q8
8 Here are the distances cycled, in km, on the first 6 days of the 2015 Tour de France cycle race.
| Day | 1 | 2 | 3 | 4 | 5 | 6 |
|---|---|---|---|---|---|---|
| Distance (km) | 14 | 166 | 160 | 224 | 190 | 192 |
(a) Work out the range of these distances. (1)
(b) Work out the median distance. (2)
Michel says,
“The median is a better average to use for these 6 distances than the mean.”
(c) Explain why Michel is right. (1)
| Scheme | Marks |
|---|---|
| 224 − 14 Answer: 210 | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| Numbers in order 14, 160, 166, 190, 192, 224 | M1 |
| 178 | A1 |
| (2) |
Notes
M1: Ascending or descending order.
Condone 1 omission.
| Scheme | Marks |
|---|---|
| Correct explanation | B1 |
| (1) | |
| (4 marks) |
Notes
B1: Eg 14 affects the mean or 14 does not affect the median.