4MA0 Foundation January 2014 Paper 1R Q9
9 The table shows information about the number of goals scored in each of the 25 matches in a hockey tournament.
| Number of goals | Number of matches |
|---|---|
| 1 | 6 |
| 2 | 8 |
| 3 | 7 |
| 4 | 3 |
| 5 | 1 |
(a) Work out the range of the number of goals. (2)
(b) Work out the median number of goals. (2)
(c) Work out the mean number of goals. (3)
| Scheme | Marks |
|---|---|
| 4 | B2 |
| (2) |
Notes
B2: B1 for 1-5 1 to 5 1,5 etc
| Scheme | Marks |
|---|---|
\(\dfrac{25}{2}\) or \(12\tfrac{1}{2}\) or \(\dfrac{25 + 1}{2}\) or 13 or clear attempt to list all numbers of goals in order | M1 |
| 2 | A1 |
| (2) |
Notes
A1: cao
| Scheme | Marks |
|---|---|
| 1 × 6 + 2 × 8 + 3 × 7 + 4 × 3 + 5 × 1 or 6 + 16 + 21 + 12 + 5 or 60 | M1 |
| “60” ÷ 25 | M1 |
| 2.4 oe | A1 |
| (3) | |
| (Total 7 marks) |
Notes
M1: for at least 4 correct products stated or evaluated
M1: dep
A1: Also accept 2 if both method marks are scored