4MA0 Foundation January 2014 Paper 2 Q15
15 The table gives information about the numbers of goals scored by a football team in 30 matches.
| Number of goals scored | Frequency |
|---|---|
| 0 | 2 |
| 1 | 10 |
| 2 | 7 |
| 3 | 6 |
| 4 | 3 |
| 5 | 2 |
(a) Find the median number of goals scored. (2)
(b) Find the mean number of goals scored. (3)
| Scheme | Marks |
|---|---|
| 30 ÷ 2 (=15) or 15.5 | M1 |
| 2 | A1 |
| (2) |
Notes
M1: or clear attempt to find 15th and 16th values.
| Scheme | Marks |
|---|---|
| (0×2) + 1×10 + 2×7 + 3×6 + 4×3 + 5×2 | M1 |
| “64” ÷ 30 | M1 |
| \(2.1\dot{3}\) | A1 |
| (3) | |
| (Total 5 marks) |
Notes
M1: M1 for 5 correct products stated or evaluated.
M1: Dependent on first M1. Sum of the products / 30
A1: Accept 2.1 or better with no working.
Accept 2 if both M marks awarded.