Foundation November 2022 Paper 2 Q17
17 The table shows information about the heights of 80 teenagers.
| Height (\(h\) cm) | Frequency |
|---|---|
| \(150 \lt h \leqslant 160\) | 8 |
| \(160 \lt h \leqslant 170\) | 14 |
| \(170 \lt h \leqslant 180\) | 24 |
| \(180 \lt h \leqslant 190\) | 30 |
| \(190 \lt h \leqslant 200\) | 4 |
Work out an estimate for the mean height of the teenagers. (3)
| Answer | Mark | Mark scheme | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 176 | M1 | for a method to find 5 products within intervals (including end points)
| ||||||||||||
| M1 | for \(\Sigma\text{``}fx\text{''} \div (8 + 14 + 24 + 30 + 4)\) or \((155\times8 + 165\times14 + 175\times24 + 185\times30 + 195\times4) \div (8 + 14 + 24 + 30 + 4)\) or \((\text{``}1240\text{''} + \text{``}2310\text{''} + \text{``}4200\text{''} + \text{``}5550\text{''} + \text{``}780\text{''}) \div \text{``}80\text{''}\) or \(\text{``}14080\text{''} \div \text{``}80\text{''}\) | |||||||||||||
| A1 | cao |
Additional guidance
\(\Sigma\text{``}fx\text{''}\) must come from 5 products \(fx\) within intervals (including end points)