First, arrange the data in ascending order:
2, 2, 5, 6, 9, 10, 10, 10, 12, 12, 13, 13, 14, 17, 17, 18, 18, 28, 28, 34, 35, 38, 44, 65, 82, 88, 104
There are \(27\) data points, so the median is the \(14^\text{th}\) value:
\(\text{Median} = 17\)
To find the lower quartile (LQ), take the median of the first \(13\) values (the \(7^\text{th}\) value):
\(\text{LQ} = 10\)
To find the upper quartile (UQ), take the median of the last \(13\) values (the \(7^\text{th}\) of that half, overall \(21^\text{st}\) value):
\(\text{UQ} = 35\)
Draw a box-and-whisker plot with these values:
- Minimum = 2
- LQ = 10
- Median = 17
- UQ = 35
- Maximum = 104