Higher June 2024 Paper 2 Q1
1 Here are eight numbers written in order of size
\[h \qquad 6 \qquad 7 \qquad 8 \qquad j \qquad 16 \qquad k \qquad k\]where \(h\), \(j\) and \(k\) are integers.
The median of the eight numbers is 10
The mode of the eight numbers is 18
The range of the eight numbers is 13
Work out the value of \(h\), the value of \(j\) and the value of \(k\)
(3)
| Scheme | Marks |
|---|---|
| for \(k = 18\) or eg \((8 + j) \div 2 = 10\) or \((j = )\; 10 \times 2 - 8\) or \(8 + j = 2 \times 10\) or \(j = 12\) or eg \(k - h = 13\) or “18” – \(h\) = 13 or \(h = 5\) | M1 |
| for two of the above | M1 |
| Correct answer scores full marks (unless from obvious incorrect working) Answer: \(h = 5\) \(j = 12\) \(k = 18\) | A1 |
| (3) | |
| (3 marks) |
Notes
M1: For a correct value for \(h\), \(j\) or k or for a correct statement for one of these
M1: for 2 correct values from \(h\), \(j\) or \(k\) or for 2 correct statements for them
A1: All correct