4MA0 Foundation January 2014 Paper 2R Q10
10 Here are Mika’s scores in nine French tests.
6 7 6 9 8 6 4 10 9
(a) Find the range of her scores. (2)
(b) Find her median score. (2)
Here are Ryan’s scores in nine French tests.
4 6 4 7 8 \(a\) 6 7 7
The mean of Ryan’s nine scores is 6
(c) Work out the value of \(a\). (3)
| Scheme | Marks |
|---|---|
| 10 – 4 | M1 |
| 6 | A1 |
| (2) |
Notes
M1: accept “4 to 10” etc
| Scheme | Marks |
|---|---|
| 4 6 6 6 7 8 9 9 10 | M1 |
| 7 | A1 |
| (2) |
Notes
M1: Numbers in ascending or descending order.
The A1 code is not printed for this part in the mark scheme; the part is worth 2 marks.
| Scheme | Marks |
|---|---|
| 4 + 6 + 4 + 7 + 8 + 6 + 7 + 7 (= 49) or 9 × 6 (=54) | M1 |
| \(\dfrac{\text{“}49\text{”} + a}{9} = 6\) oe or “54” – “49” | M1 |
| 5 | A1 |
| (3) | |
| (Total 7 marks) |
Notes
M1: M1 for 4 + 6 + 4 + 7 + 8 + \(a\) + 6 + 7 + 7 = 49 + \(a\)