4MA0 Higher June 2014 Paper 4R Q13
13 Here are the points that Carmelo scored in his last 11 basketball games.
23 20 14 23 17 24 24 18 16 22 21
(a) Find the interquartile range of these points. (3)
Kobe also plays basketball.
The median number of points Kobe has scored in his games is 18.5
The interquartile range of these points is 10
(b) Which of Carmelo or Kobe is the more consistent points scorer?
Give a reason for your answer. (1)
Give a reason for your answer. (1)
| Scheme | Marks |
|---|---|
| 14 16 17 18 20 21 22 23 23 24 24 | M1 |
| ( 14 16 17 18 20 21 22 23 23 24 24 ) (14 16 17 18 20) and (22 23 23 24 24 ) 23 - 17 | M1 |
| 6 | A1 |
| (3) |
Notes
M1: arrange in order or
One of 21(median), 17(LQ), 23(UQ) identified
M1: Identify any two of 21, 17 and 23
A1: cao
| Scheme | Marks |
|---|---|
| Carmelo and reason using IQR | B1 |
| (1) | |
| (4 marks) |
Notes
B1: ft from (a) Carmelo - he has a lower IQR oe
(IQR must be part of the statement)
(corrected from the printed mark scheme: the Mark column prints 2 for part (b) and the total as 5 marks; part (b) is worth 1 mark (B1) on the question paper, and the question is out of 4)