5. Each child in class 3A was given a packet of seeds to plant. The stem and leaf diagram below shows how many seedlings were visible in each child's tray one week after planting.
| Number of seedlings | (2 | 1 means 21) | Totals |
| 0 | 02 | (2) |
| 0 | | (0) |
| 1 | 1 | (1) |
| 1 | 57 | (2) |
| 2 | 01334 | (5) |
| 2 | 5777899 | (7) |
| 3 | 0001224 | (7) |
| 3 | 5688 | (4) |
| 4 | 134 | (3) |
- Find the median and interquartile range for these data.
- Use the quartiles to describe the skewness of the data. Show your method clearly.
The mean and standard deviation for these data were 27.2 and 10.3 respectively.
- Explaining your answer, state whether you would recommend using these values or your answers to part (a) to summarise these data.
Outliers are defined to be values outside of the limits \(\mathrm { Q } _ { 1 } - 2 s\) and \(\mathrm { Q } _ { 3 } + 2 s\) where \(s\) is the standard deviation given above.
- Represent these data with a boxplot identifying clearly any outliers.