Foundation June 2018 Paper 1 Q18
18 The table below shows the weight, \(w\) kg, of the bags that people took on a plane.
| Weight of bag (kg) | Frequency | ||
|---|---|---|---|
| \(0 \lt w \leqslant 10\) | 16 | ||
| \(10 \lt w \leqslant 15\) | 10 | ||
| \(15 \lt w \leqslant 20\) | 20 | ||
| \(20 \lt w \leqslant 25\) | 8 | ||
| \(25 \lt w \leqslant 30\) | 6 |
Calculate an estimate of the mean weight of the 60 bags. [4]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 15 | 4 | B1 for at least 3 mid-points seen (from 5, 12.5, 17.5, 22.5, 27.5) or implied by products 80, 125, 350, 180, 165 M1 for \(\Sigma mf\) where \(m\) is a value within each group; allow one error in calculation M1dep for their ‘900’ ÷ 60 | |