4400 Higher June 2006 Paper 4 Q7
7
(a) Four numbers have a mean of 6
Three of the numbers are 3, 7 and 10
Find the other number. (2)
Three of the numbers are 3, 7 and 10
Find the other number. (2)
(b) Three numbers have a mode of 5 and a mean of 6
Find the three numbers. (2)
Find the three numbers. (2)
(c) Find four numbers which have a mode of 7 and a median of 6 (2)
| Scheme | Marks |
|---|---|
| 4 × 6 − (3 + 7 + 10) | M1 |
| 4 | A1 |
| (2) |
Notes
M1: or 3 + 7 + 10 + \(x\) = 4 × 6
A1: embedded: M1A0
| Scheme | Marks |
|---|---|
| 5, 5, 8 | B2 |
| (2) |
Notes
B2: B1: 3 nos with mode 5 or mean 6 or 5, 5, \(x\): B1
| Scheme | Marks |
|---|---|
| 7, 7, 5, (any no < 5) | B2 |
| (2) | |
| (6 marks) |
Notes
B2: B1: 4 nos with mode 7 OR median 6