4MA0 Foundation June 2013 Paper 1 Q13
13 The table shows information about the mark scored on an examination question by each of 40 students.
| Mark | Number of students |
|---|---|
| 0 | 13 |
| 1 | 2 |
| 2 | 3 |
| 3 | 8 |
| 4 | 14 |
(a) Which mark is the mode? (1)
(b) Find the median mark. (2)
(c) Work out the mean mark. (3)
| Scheme | Marks |
|---|---|
| 4 | B1 |
| (1) |
Notes
B1: cao
| Scheme | Marks |
|---|---|
\(\dfrac{40}{2}\) or 20 or \(\dfrac{40 + 1}{2}\) or \(20\frac{1}{2}\) or for clear attempt to list all marks | M1 |
| 3 | A1 |
| (2) |
Notes
A1: cao
| Scheme | Marks |
|---|---|
| \((0 \times 13) + 1 \times 2 + 2 \times 3 + 3 \times 8 + 4 \times 14\) or \((0) + 2 + 6 + 24 + 56\) or 88 | M1 |
| “88” ÷ 40 | M1 |
| 2.2 | A1 |
| (3) |
Notes
M1: for sum of at least 3 products (products may or may not be evaluated)
M1: (dep) for division by 40 (or by their 40)
A1: accept 2.2 or \(\dfrac{11}{5}\) or \(2\dfrac{1}{5}\)
Also accept 2 if both method marks are scored.