Higher June 2022 Paper 2R Q3
3 Alberto, Bill, Candela and Diana are four friends.
Here is some information about the height of each of these friends.
Alberto’s height is 158 cm.
Bill’s height is 175 cm.
Candela’s height is greater than Diana’s height.
The median height of these four friends is 160 cm.
The range of the heights of these four friends is 21 cm.
Work out Candela’s height and Diana’s height.
(3)
| Scheme | Marks |
|---|---|
eg \(\dfrac{158 + C}{2} = 160\) or (\(C\) =) 160 + (160 – 158) (= 162) oe or \(C = 162\) | M1 |
| eg (\(D\) =) 175 – 21 (= 154) oe | M1 |
| Candela 162 Diana 154 | A1 |
| (3) | |
| (3 marks) |
Notes
M1: for method to find Candela’s height
or
Candela’s height
or
Candela’s height in the wrong place on the answer line
M1: indep for method to find Diana’s height
or
Diana’s height
or
Diana’s height in the wrong place on the answer line
A1: Correctly attributed
If no marks awarded, SCB1 for Candela’s height 179