5 The times taken by 200 players to solve a computer puzzle are summarised in the following table.
| Time \(( t\) seconds \()\) | \(0 \leqslant t < 10\) | \(10 \leqslant t < 20\) | \(20 \leqslant t < 40\) | \(40 \leqslant t < 60\) | \(60 \leqslant t < 100\) |
| Number of players | 16 | 54 | 78 | 32 | 20 |
- Draw a histogram to represent this information.
\includegraphics[max width=\textwidth, alt={}, center]{1a27e2ca-9be5-48a0-a1aa-01844573f4d4-08_1397_1198_808_516} - Calculate an estimate of the mean time taken by these 200 players.
- Find the greatest possible value of the interquartile range of these times.