Higher November 2017 Paper 2 Q8
8 The table shows information about the distances walked by 120 students on their way to school one week.
| Distance, \(x\) (miles) | Frequency | ||
|---|---|---|---|
| \(0 \lt x \leqslant 5\) | 20 | ||
| \(5 \lt x \leqslant 10\) | 48 | ||
| \(10 \lt x \leqslant 15\) | 30 | ||
| \(15 \lt x \leqslant 20\) | 22 | ||
| Total = 120 |
Work out an estimate for the mean distance. [3 marks]
| Answer | Mark | Comments |
|---|---|---|
| \([0, 5] \times 20 + [5, 10] \times 48\) \(+ [10, 15] \times 30 + [15, 20] \times 22\) or 1170 | M1 | Must add 4 products |
| their \(1170 \div 120\) | M1dep | |
| 9.75 or \(\dfrac{39}{4}\) or \(9\dfrac{3}{4}\) | A1 |
Additional guidance
| \(1170 \div 120\) or 9.75 with \(5 \lt x \leqslant 10\) on answer line | M2A0 |
| Do not allow M1 for working in the table if a different method is used in working lines |