Foundation November 2018 Paper 1 Q11
11. A farmer grows three types of cucumber: Carmen, Green Knight and Marketmore.
(a)
The mean and range of the lengths of the Carmen and Green Knight cucumbers grown by the farmer are given in the table.
| Carmen | Green Knight | |
|---|---|---|
| Mean | 21 cm | 18 cm |
| Range | 3 cm | 5 cm |
He sells the type of cucumber that has the most consistent length to a local cafe and sells the other variety in his farm shop.
Which variety is sold to the local cafe?
Carmen ☐ Green Knight ☐
Explain how you decide. [1]
(b)
The farmer picks a sample of 5 Marketmore cucumbers and measures their length.
The lengths of the first 4 cucumbers, in cm, are
15 12 13 13
The mean length of the 5 cucumbers is 13 cm.
What is the length of the 5th Marketmore cucumber? [3]
| Scheme | Marks | Comments |
|---|---|---|
| Carmen indicated with valid explanation e.g. ‘The range is smaller’. | E1 |
| Scheme | Marks | Comments |
|---|---|---|
| 12 | B3 | B1 for (15 + 12 + 13 + 13 = ) 53 and B1 for 5 × 13 = 65 or for \(\frac{53 + \ldots}{5} = 13\) or 5 × 13 – 53 seen |
| (4) |