4MA0 Foundation January 2015 Paper 1 Q11
11 Rohan plays for his village cricket team.
Here are the number of runs he scored in each of six games.
12 4 35 67 32 54
(a) Find the range of the number of runs Rohan scored. (2)
(b) Find the mean of the number of runs Rohan scored. (2)
One of the six games is picked at random.
(c) Find the probability that Rohan scored more than 50 runs in this game. (2)
| Scheme | Marks |
|---|---|
| 67 − 4 | M1 |
| 63 | A1 |
| (2) |
Notes
M1: Allow 4 − 67 or “4 to 67” or − 63
| Scheme | Marks |
|---|---|
\(\dfrac{12 + 35 + 4 + 67 + 32 + 54}{6}\) or \(\dfrac{204}{6}\) (12 + 35 + 4 + 67 + 32 + 54) ÷ 6 | M1 |
| 34 | A1 |
| (2) |
Notes
M1: Condone missing brackets
| Scheme | Marks |
|---|---|
| M1 | |
| \(\dfrac{2}{6}\) | A1 |
| (2) | |
| (6 marks) |
Notes
M1: Accept \(\dfrac{2}{a}\) with \(a \gt 2\) or \(\dfrac{b}{6}\) with \(0 \lt b \lt 6\) (\(a\) and \(b\) should be integers)
A1: oe eg \(\dfrac{1}{3}\)
Allow 0.33(3…) correct to at least 2dp
M1A0 for 1 : 3 or 2 : 6 oe