5 As part of a data collection exercise, members of a certain school year group were asked how long they spent on their Mathematics homework during one particular week. The times are given to the nearest 0.1 hour. The results are displayed in the following table.
| Time spent \(( t\) hours \()\) | \(0.1 \leqslant t \leqslant 0.5\) | \(0.6 \leqslant t \leqslant 1.0\) | \(1.1 \leqslant t \leqslant 2.0\) | \(2.1 \leqslant t \leqslant 3.0\) | \(3.1 \leqslant t \leqslant 4.5\) |
| Frequency | 11 | 15 | 18 | 30 | 21 |
- Draw, on graph paper, a histogram to illustrate this information.
- Calculate an estimate of the mean time spent on their Mathematics homework by members of this year group.