2 Answer part (i) of this question on the insert provided.
A taxi driver operates from a taxi rank at a main railway station in London. During one particular week he makes 120 journeys, the lengths of which are summarised in the table.
| Length | | \(( x\) miles \()\) |
| \(0 < x \leqslant 1\) | \(1 < x \leqslant 2\) | \(2 < x \leqslant 3\) | \(3 < x \leqslant 4\) | \(4 < x \leqslant 6\) | \(6 < x \leqslant 10\) |
| 38 | 30 | 21 | 14 | 9 | 8 |
- On the insert, draw a cumulative frequency diagram to illustrate the data.
- Use your graph to estimate the median length of journey and the quartiles.
Hence find the interquartile range.
- State the type of skewness of the distribution of the data.