Numeracy Foundation November 2019 Unit 2 Q7
7. Five pupils attended a dance class every Thursday.
For these five pupils:
- the median of their ages is 17 years,
- the mode is 18 years,
- the range of their ages is 8 years,
- one pupil is 2 years older than the youngest pupil.
Coleen now joins this class.
She is two years younger than the mean age of the other 5 pupils.
How old is Coleen?
You must show all your working. [4]
| Scheme | Marks | Comments |
|---|---|---|
| ....... , ........., 17, 18, 18 as the three eldest 10, 12, ......, ......, ......., as the two youngest | B1 B1 | Must be eldest but not necessarily in order Must be youngest but not necessarily in order FT ‘their 18 (eldest)’ – 8 and ‘their 18 (eldest)’ – 6 respectively If B0, B0 award SC1 here for sight of 18, 18 provided not other repeat ages |
| (Mean) (10+12+17+18+18) ÷ 5 or 75 ÷ 5 (-2) | M1 | FT ‘their 10 + 12 + 17 + 18 + 18’ ÷ 5, provided it is a sum of 5 values divided by 5 |
| (Coleen is) 13 (years old) | A1 | FT ‘their 75 ÷ 5’ – 2 correctly evaluated, accepting rounded or truncated age, |