- The partially completed table and partially completed histogram give information about the ages of passengers on an airline.
There were no passengers aged 90 or over.
| Age ( \(x\) years) | \(0 \leqslant x < 5\) | \(5 \leqslant x < 20\) | \(20 \leqslant x < 40\) | \(40 \leqslant x < 65\) | \(65 \leqslant x < 80\) | \(80 \leqslant x < 90\) |
| Frequency | 5 | 45 | 90 | | | 1 |
\includegraphics[max width=\textwidth, alt={}, center]{6dfefd72-338f-40be-ac37-aef56bfaccaa-04_1173_1792_721_139}
- Complete the histogram.
- Use linear interpolation to estimate the median age.
An outlier is defined as a value greater than \(Q _ { 3 } + 1.5 \times\) interquartile range.
Given that \(Q _ { 1 } = 27.3\) and \(Q _ { 3 } = 58.9\) - determine, giving a reason, whether or not the oldest passenger could be considered as an outlier.
(2)