1MA0 Foundation June 2016 Paper 2 Q20
20 Chloe recorded the test marks of 20 students.
The stem and leaf diagram shows this information.
| 1 | 5 7 8 9 |
| 2 | 0 0 3 7 8 |
| 3 | 1 4 5 6 8 9 |
| 4 | 1 2 2 6 7 |
Key: 1 | 5 means 15 marks
(a) Find the median mark. (2)
(b) Work out the range of the marks. (2)
The pass mark for the test is 25
(c) How many of the 20 students did not pass the test? (1)
| Answer | Mark | Notes |
|---|---|---|
| 32.5 | 2 | M1 for median value is 10.5th evidenced by 10th and 11th seen or “31, 34” written or \((31 + 34) \div 2\) (condone missing brackets) or both 31 and 34 identified in the stem and leaf diagram or in a fully ordered list A1 for 32.5 (accept \(32\frac{1}{2}\)) |
| Answer | Mark | Notes |
|---|---|---|
| 32 | 2 | M1 for \(47 - 15\) or \(15 - 47\) A1 cao |
| Answer | Mark | Notes |
|---|---|---|
| 7 | 1 | B1 cao |