Numeracy Foundation June 2017 Unit 1 Q6
6. Siân wrote the following:
‘For the last 7 days I have recorded the number of cars parked in my local car park at 10 a.m. each day. This is what I found.
- The car park always had some cars parked in it.
- The greatest number of cars was 11.
- The range was 8 cars.
- The median was 9 cars.
- The mode was 10 cars.
- On one day, there were 6 cars in the car park.
- On another day, there were 7 cars in the car park.’
Gareth asked,
‘What was the mean number of cars in the car park at 10 a.m. for these 7 days?’
Complete Siân’s reply to Gareth’s question.
You must list the 7 numbers Siân recorded and show all your working.
‘The mean number of cars in the car park at 10 a.m. for these 7 days was
…………… cars.’
[4]
| Scheme | Marks | Comments |
|---|---|---|
| 3 6 7 9 10 10 11(cars) | B2 | Need not be in this order B1 for sight of (11 -8 =) 3 (cars) and at least two 10s |
| 3 + 6 + 7 + 9 + 10 + 10 + 11 and ÷ 7 | M1 | FT intention to sum ‘their 7 numbers’ and divide by 7, must be 7 numbers |
| 8 (cars) | A1 | CAO, i.e. FT is only for the method mark If no marks, award SC1 for an unsupported answer of ‘8’ |