2 The following back-to-back stem-and-leaf diagram shows the reaction times in seconds in an experiment involving two groups of people, \(A\) and \(B\).
| \(A\) | \(B\) |
| (4) | 4200 | 20 | 567 | (3) |
| (5) | 98500 | 21 | 122377 | (6) |
| (8) | 98753222 | 22 | 1356689 | (7) |
| (6) | 876521 | 23 | 45788999 | (8) |
| (3) | 863 | 24 | 2456788 | (7) |
| (1) | 0 | 25 | 0278 | (4) |
Key: 5 | 22 | 6 means a reaction time of 0.225 seconds for \(A\) and 0.226 seconds for \(B\)
- Find the median and the interquartile range for group \(A\).
The median value for group \(B\) is 0.235 seconds, the lower quartile is 0.217 seconds and the upper quartile is 0.245 seconds. - Draw box-and-whisker plots for groups \(A\) and \(B\) on the grid.
\includegraphics[max width=\textwidth, alt={}, center]{62812433-baee-490a-bad4-b6b0f917c234-03_805_1495_1729_365}