Foundation November 2018 Paper 2 Q4
4 These are the heights, in metres, of the players in a netball team.
1.30 1.13 1.20 1.23 1.22 1.24 1.15
(a)
(i) Find the median height of the 7 players. [2]
(ii) Work out the range of the heights of the 7 players. [2]
(iii) The sum of the heights of the 7 players is 8.47 m.
Calculate the mean height of the 7 players. [2]
(b) The tallest player is replaced by a substitute.
The median height of the players is unchanged.
The mean height of the players becomes smaller.
The median height of the players is unchanged.
The mean height of the players becomes smaller.
Write down a possible height for the substitute. [2]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| (i) 1.22 | 2 | M1 for six or seven heights seen in the correct order | 1.13, 1.15, 1.20, 1.22, 1.23, 1.24, 1.30 |
| (ii) 0.17 or 17 cm | 2 | M1 for 1.30 – 1.13 or 30 – 13 soi | |
| (iii) 1.21 | 2 | M1 for 8.47 \(\div\) 7 soi | |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| \(x\) such that \(1.22 \le x \lt 1.30\) | 2 | M1 for selecting a value stating/indicating that this leaves median unchanged or for selecting a value stating/indicating that this reduces the value of mean or for selecting a value stating/indicating that this reduces the total of the heights | |