4400 Higher November 2007 Paper 4 Q7
7 There are four grades of egg.
The table shows how many eggs of each grade were laid by a hen last year.
| Grade | Number of eggs |
|---|---|
| Extra large | 55 |
| Large | 48 |
| Medium | 35 |
| Small | 12 |
(a) In the first four months of this year, the hen laid 60 eggs.
Work out an estimate for the number of Extra large eggs the hen laid in these four months. (3)
Work out an estimate for the number of Extra large eggs the hen laid in these four months. (3)
(b) The table below shows how the grade of an egg is related to its weight.
Work out an estimate for the total weight of 48 Large eggs and 35 Medium eggs. (3)
| Grade | Weight (\(w\) grams) |
|---|---|
| Extra large | \(w \geqslant 73\) |
| Large | \(63 \leqslant w \lt 73\) |
| Medium | \(53 \leqslant w \lt 63\) |
| Small | \(w \lt 53\) |
(c) Jody wants to use the information in the table to work out an estimate for the total weight of all the eggs laid by the hen last year.
Explain why it is difficult to do this. (1)
Explain why it is difficult to do this. (1)
| Scheme | Marks |
|---|---|
| \(\dfrac{55}{150} \times 60\) | B1 |
| M1 | |
| 22 | A1 |
| (3) |
Notes
B1: for \(\frac{55}{150}\) oe or \(\frac{60}{150}\) oe seen
M1: for \(\frac{55}{150} \times 60\)
A1: cao
| Scheme | Marks |
|---|---|
| 68 × 48 + 58 × 35 = 3264 + 2030 | M1 |
| M1 | |
| 5294 | A1 |
| (3) |
Notes
M1: 2 products m × f where m is within each interval and consistent (inc end points)
M1: (dep) for use of halfway values
A1: Accept 5300 or 5290 if M1 + M1 scored
| Scheme | Marks |
|---|---|
| eg no upper limit for extra large, no lower limit for small, don’t know midpoints for XL, S | B1 |
| (1) | |
| (7 marks) |