Foundation June 2018 Paper 1 Q15
15 The table shows information about the weights, in kg, of 40 parcels.
| Weight of parcel (\(p\) kg) | Frequency |
|---|---|
| \(0 \lt p \leqslant 1\) | 19 |
| \(1 \lt p \leqslant 2\) | 12 |
| \(2 \lt p \leqslant 3\) | 5 |
| \(3 \lt p \leqslant 4\) | 2 |
| \(4 \lt p \leqslant 5\) | 2 |
(a) Write down the modal class. (1)
(b) Work out an estimate for the mean weight of the parcels. (4)
| Scheme | Marks |
|---|---|
| \(0 \lt p \leqslant 1\) | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| 0.5 × 19 + 1.5 × 12 + 2.5 × 5 + 3.5 × 2 + 4.5 × 2 (=56) or 9.5 + 18 + 12.5 + 7 + 9 (=56) | M2 |
| “56” ÷ 40 | M1 |
| 1.4 | A1 |
| (4) | |
| (5 marks) |
Notes
M2: for at least 4 correct products added (need not be evaluated)
If not M2 then award
M1 for consistent use of value within interval (including end points) for at least 4 products which must be added
OR
correct mid-points used for at least 4 products and not added
M1: dep on at least M1
Allow division by their \(\sum f\) provided addition or total under column seen
A1: for 1.4 or \(1\dfrac{2}{5}\)