3 At a summer camp an arithmetic test is taken by 250 children. The times taken, to the nearest minute, to complete the test were recorded. The results are summarised in the table.
| Time taken, in minutes | \(1 - 30\) | \(31 - 45\) | \(46 - 65\) | \(66 - 75\) | \(76 - 100\) |
| Frequency | 21 | 30 | 68 | 86 | 45 |
- Draw a histogram to represent this information.
\includegraphics[max width=\textwidth, alt={}, center]{c1bc5ac2-6b0e-48c7-92e9-9b8b56b57d90-05_1000_1198_785_516} - State which class interval contains the median.
- Given that an estimate of the mean time is 61.05 minutes, state what feature of the distribution accounts for the median and the mean being different.