4400 Higher November 2006 Paper 3 Q11
11 There are 15 students in class \(A\).
In a test, the students gained these marks.
2 1 2 5 5 6 9 2 5 6 7 5 6 5 6
(a) Find the interquartile range of these marks. (3)
The students in class \(B\) took the same test.
Their marks had a median of 7 and an interquartile range of 2
(b) Make two comparisons between the marks of the two classes.
(i)
(ii) (2)
| Scheme | Marks |
|---|---|
| 1 2 2 2 5 5 5 5 5 6 6 6 6 7 9 | M1 |
| Attempt to find 4th (or 3¾th) & 12th (or 11¼th) values | M1 |
| 4 | A1 |
| (3) |
Notes
A1: cao
| Scheme | Marks |
|---|---|
| (i) eg B had higher marks than A | B1 |
| (ii) eg B less spread or more consistent | B1 |
| (2) | |
| (5 marks) |
Notes
B1: B0 if median for A seen and \(\ne 5\)