Higher November 2021 Paper 3 Q5
5 Six positive numbers have
a mean of 10
a range of 19
Four of the numbers are \(\qquad 12 \qquad 7 \qquad 15 \qquad 3\)
Work out the other two numbers. [3 marks]
| Answer | Mark | Comments |
|---|---|---|
| \(6 \times 10 - (12 + 7 + 15 + 3)\) or \(60 - 37\) or 23 | M1 | implied by two numbers with a total of 23 eg \(-11\) and 34 |
| Two positive numbers with a total of 23 | A1 | |
| Two positive numbers which make the range of the list 19 | B1 | eg \(a\) and 22, where \(3 \leqslant a \leqslant 22\) |
Additional guidance
| 2 and 21 is the only fully correct answer | M1A1B1 |
| 11.5 and 11.5 | M1A1B0 |
| 1 and 22 | M1A1B0 |
| 0 and 23 | M1A0B0 |