4MA0 Higher June 2015 Paper 4R Q18
18 400 people are asked to guess the weight of a large cake.
The table shows information about the weights they guess.
| Weight (\(w\) kg) | Number of guesses |
|---|---|
| \(0 \lt w \leqslant 1\) | 50 |
| \(1 \lt w \leqslant 1.6\) | 90 |
| \(1.6 \lt w \leqslant 2\) | 120 |
| \(2 \lt w \leqslant 2.5\) | 95 |
| \(2.5 \lt w \leqslant 4\) | 45 |
Use the information in the table to complete the histogram.
(3)
| Scheme | Marks |
|---|---|
| \(\dfrac{90}{0.6}\) or 150 or \(\dfrac{120}{0.4}\) or 300 or \(\dfrac{95}{0.5}\) or 190 or \(\dfrac{45}{1.5}\) or 30 | M1 |
| Frequency density = 150, 300, 190, 30 | M1 |
| heights 3, 6, 3.8, 0.6 cm Answer: correct bars | A1 |
| (3) |
Notes
M1: For one correct bar drawn or one correct frequency density, not including \(0 \leqslant w \leqslant 1\) or
1 small square = 1 or
1 large (cm) square = 25
M1: For three correct bars drawn or three frequency densities, not including \(0 \leqslant w \leqslant 1\)
A1: All bars correct.