Higher June 2025 Paper 5 Q17
17 The mass of some parcels are recorded.
The table and the histogram each show part of this information.
| Mass (\(m\) kg) | \(0 \lt m \leqslant 2\) | \(2 \lt m \leqslant 5\) | \(5 \lt m \leqslant 10\) | \(10 \lt m \leqslant 20\) |
|---|---|---|---|---|
| Frequency | 12 | 18 |
(a) Complete the table and the histogram. [4]
(b) The heaviest parcel is 19.5 kg.
Complete the inequality to represent the range, \(R\) kg, of the masses of the parcels.
\(\ldots\ldots \leqslant R \lt \ldots\ldots\) [2]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| Completes table with \(0 \lt m \leqslant 2\) = 5 and \(10 \lt t \leqslant 20\) = 3 | 4 | B2 for both frequencies correct in table or B1 for one frequency correct in table | |
| and | |||
| Draws correct bars on histogram \(2 \lt m \leqslant 5\) to 4 \(5 \lt m \leqslant 10\) to 3.6 | B2 for both bars correct or B1 for one bar correct or M1 for [FD’s =] 12 ÷ 3 oe and 18 ÷ 5 oe soi | Bar must touch correct horizontal line for the majority of the interval For B2 no gaps between bars Do not accept omission of horizontal line at 4 on first bar | |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| \(17.5 \leqslant R \lt 19.5\) | 2 | B1 for each value | |