4MA0 Higher June 2015 Paper 3 Q4
4 \(w\), \(x\), \(y\) and \(z\) are 4 integers written in order of size, starting with the smallest.
The mean of \(w\), \(x\), \(y\) and \(z\) is 13
The sum of \(w\), \(x\) and \(y\) is 33
(a) Find the value of \(z\). (2)
Given also that the range of \(w\), \(x\), \(y\) and \(z\) is 10
(b) work out the median of \(w\), \(x\), \(y\) and \(z\). (2)
| Scheme | Marks |
|---|---|
4 × 13 (= 52) or \(\dfrac{w + x + y + z}{4} = 13\) or 4 × 13 − 33 | M1 |
| 19 | A1 |
| (2) |
| Scheme | Marks |
|---|---|
| \(z - w = 10\) or \(w = 9\) or \(w = \) “19” − 10 or \(x + y = 33 - 9 = 24\) | M1 |
| 12 | A1 |
| (2) |
Notes
M1: ft from (a)
(can be implied by 9, \(x\), \(y\), 19 OR \(w\), \(x\), \(y\), \(z\) with \(x + y = 24\))
A1: cao