2. A botany student counted the number of daisies in each of 42 randomly chosen areas of 1 m by 1 m in a large field. The results are summarised in the following stem and leaf diagram.
| Number of daisies | \(1 \mid 1\) means 11 |
| 1 | 1 | 2 | 2 | 3 | 4 | 4 | 4 | | (7) |
| 1 | 5 | 5 | 6 | 7 | 8 | 9 | 9 | | (7) |
| 2 | 0 | 0 | 1 | 3 | 3 | 3 | 3 | 4 | (8) |
| 2 | 5 | 5 | 6 | 7 | 9 | 9 | 9 | | (7) |
| 3 | 0 | 0 | 1 | 2 | 4 | 4 | | | (6) |
| 3 | 6 | 6 | 7 | 8 | 8 | | | | (5) |
| 4 | 1 | 3 | | | | | | | (2) |
- Write down the modal value of these data.
- Find the median and the quartiles of these data.
- On graph paper and showing your scale clearly, draw a box plot to represent these data.
- Comment on the skewness of this distribution.
The student moved to another field and collected similar data from that field.
- Comment on how the student might summarise both sets of raw data before drawing box plots.
(1 mark)