Foundation June 2023 Paper 1 Q12
12 Pam plays netball for her school team.
Here are the numbers of goals she scored in the last 8 games.
The numbers of goals are written in order of size.
\(1 \qquad 1 \qquad 2 \qquad 2 \qquad 3 \qquad 6 \qquad x \qquad 14\)
(a) Find the range of the number of goals Pam scored. (1)
(b) Find the median number of goals Pam scored. (1)
The mean number of goals Pam scored in the 8 games is 5
(c) Work out the value of \(x\) (3)
| Scheme | Marks |
|---|---|
| 13 | B1 |
| (1) |
Notes
B1: cao
| Scheme | Marks |
|---|---|
| 2.5 | B1 |
| (1) |
Notes
B1: oe
| Scheme | Marks |
|---|---|
| \(8 \times 5\) (= 40) oe | M1 |
| \(8 \times 5 - (1 + 1 + 2 + 2 + 3 + 6 + 14)\) | M1 |
| Correct answer scores full marks (unless from obvious incorrect working) Answer: 11 | A1 |
| (3) | |
| (5 marks) |
Notes
M1: for a method to find the total number of goals scored
M1: for a complete method to work out the value of \(x\)