4MA0 Foundation January 2018 Paper 1R Q9
9 Here are the lengths, in mm, of 10 snails a scientist found in a forest.
18 22 31 31 41 26 27 47 34 23
(a)
(i) Work out the median length. (2)
(ii) What percentage of the 10 snails have a length greater than the median length? (1)
(b) Work out the mean length. (2)
The scientist finds a snail in a field.
This snail has a length that is longer than any of the 10 snails he found in the forest.
The lengths of the 11 snails have a range of 32 mm.
(c) Work out the length of the snail the scientist finds in the field. (2)
| Scheme | Marks |
|---|---|
| (i) 18, 22, 23, 26, 27, 31, 31, 34, 41, 47 | M1 |
| 29 | A1 |
| (ii) 50% | B1 |
| (3) |
Notes
M1: order and identify middle pair
B1: ft answer to (i)
| Scheme | Marks |
|---|---|
| (22 + 18 + 31 + 31 + 41 + 26 + 27 + 47 + 34 + 23) ÷ 10 | M1 |
| 30 | A1 |
| (2) |
| Scheme | Marks |
|---|---|
| 18 + 32 | M1 |
| 50 | A1 |
| (2) |