5 Last Saturday, 200 drivers entering a car park were asked the time, in minutes, that it had taken them to travel from home to the car park. The results are summarised in the following cumulative frequency table.
| Time \(( t\) minutes \()\) | \(t \leqslant 10\) | \(t \leqslant 20\) | \(t \leqslant 30\) | \(t \leqslant 50\) | \(t \leqslant 70\) | \(t \leqslant 90\) |
| Cumulative frequency | 16 | 50 | 106 | 146 | 176 | 200 |
- On the grid, draw a cumulative frequency graph to illustrate the data.
\includegraphics[max width=\textwidth, alt={}, center]{06f6c8dd-170c-4e94-a960-0c649a7363a1-08_1198_1399_735_415} - Use your graph to estimate the median of the data.
- For 80 of the drivers, the time taken was at least \(T\) minutes. Use your graph to estimate the value of \(T\).
- Calculate an estimate of the mean time taken by all 200 drivers to travel to the car park.