Higher June 2022 Paper 1 Q8
8 The table shows the amount of snow, in cm, that fell each day for 30 days.
| Amount of snow (\(s\) cm) | Frequency |
|---|---|
| \(0 \leqslant s \lt 10\) | 8 |
| \(10 \leqslant s \lt 20\) | 10 |
| \(20 \leqslant s \lt 30\) | 7 |
| \(30 \leqslant s \lt 40\) | 2 |
| \(40 \leqslant s \lt 50\) | 3 |
Work out an estimate for the mean amount of snow per day. (3)
| Answer | Mark | Mark scheme |
|---|---|---|
| 19 | M1 | for a method to find 5 products within intervals (including end points) |
| M1 | for \(\Sigma\text{``}fx\text{''} \div (8 + 10 + 7 + 2 + 3)\) or \((5\times8 + 15\times10 + 25\times7 + 35\times2 + 45\times3) \div (8 + 10 + 7 + 2 + 3)\) or \((\text{``}40\text{''} + \text{``}150\text{''} + \text{``}175\text{''} + \text{``}70\text{''} + \text{``}135\text{''}) \div \text{``}30\text{''}\) or \(\text{``}570\text{''} \div \text{``}30\text{''}\) | |
| A1 | cao |
Additional guidance
| Min \(fx\) | Max \(fx\) |
|---|---|
| 0 | 80 |
| 100 | 200 |
| 140 | 210 |
| 60 | 80 |
| 120 | 150 |
\(\Sigma\text{``}fx\text{''}\) must come from 5 products \(fx\) within intervals (including end points)