1MA0 Higher June 2017 Paper 2 Q12
12 The table gives information about the heights of 35 girls.
| Height (\(h\) metres) | Frequency |
|---|---|
| \(1.30 \leqslant h \lt 1.40\) | 11 |
| \(1.40 \leqslant h \lt 1.50\) | 9 |
| \(1.50 \leqslant h \lt 1.60\) | 7 |
| \(1.60 \leqslant h \lt 1.70\) | 6 |
| \(1.70 \leqslant h \lt 1.80\) | 2 |
(a) Find the class interval that contains the median. (1)
(b) Work out an estimate for the mean height. (4)
| Answer | Mark | Notes |
|---|---|---|
| \(1.40 \leqslant h \lt 1.50\) | 1 | B1 any unambiguous description of the correct interval |
| Working | Answer | Mark | Notes |
|---|---|---|---|
| \(1.35 \times 11 = 14.85\) \(1.45 \times 9 = 13.05\) \(1.55 \times 7 = 10.85\) \(1.65 \times 6 = 9.9\) \(1.75 \times 2 = 3.5\) | 1.49 | 4 | M1 for \(fx\) consistently within interval including ends (allow 1 error) M1 consistently using appropriate midpoints M1 (dep on first M1) for \(\Sigma fx \div \Sigma f\) eg \(52.15 \div 35\) A1 cao |