Foundation June 2022 Paper 2 Q17
17 Here are some integers where \(a \lt b \lt c \lt d\)
\(a \qquad b \qquad c \qquad d \qquad d \qquad d\)
The mode of the integers is 9
The median of the integers is 8
The range of the integers is 4
Work out the value of \(a\), the value of \(b\), the value of \(c\) and the value of \(d\)
(3)
| Scheme | Marks |
|---|---|
| M1 | |
| M1 | |
| \(a = 5\), \(b = 6\), \(c = 7\), \(d = 9\) | A1 |
| (3) | |
| (3 marks) |
Notes
M1: for \(d = 9\)
or
\((c + d) \div 2 = 8\) (algebraically or clearly labelled integers)
or
\(d - a = 4\) (algebraically or clearly labelled integers)
M1: for two of
\(a = 5\)
or \(c = 7\)
or \(d = 9\)
or \((c + d) \div 2 = 8\) (algebraically or clearly labelled integers)
or \(d - a = 4\) (algebraically or clearly labelled integers)
A1: All correct