2. The stem and leaf diagram below shows the ages (in years) of the residents in a care home.
| Age | | | Key: \(4 \mid 3\) is an age of 43 |
| 4 | 3 | | | | | | | | | | | \(( 1 )\) | | | | | | | | | | | | |
| 5 | 4 | | | | | | | | | | | | | | | | | | | | | | | |
| 6 | 2 | 3 | 5 | 6 | 8 | 8 | 8 | 9 | 9 | | | \(( 1 )\) | | | | | | | | | | | | |
| 7 | 1 | 1 | 3 | 4 | 4 | 6 | 6 | 6 | 8 | 8 | 9 | \(( 9 )\) | | | | | | | | | | | | |
| 8 | 0 | 0 | 2 | 7 | 8 | 8 | 9 | | | | | \(( 11 )\) | | | | | | | | | | | | |
| 9 | 3 | 7 | | | | | | | | | | | | | | | | | | | | | | |
- Find the median age of the residents.
- Find the interquartile range (IQR) of the ages of the residents.
An outlier is defined as a value that is either
more than \(1.5 \times ( \mathrm { IQR } )\) below the lower quartile or more than \(1.5 \times ( \mathrm { IQR } )\) above the upper quartile. - Determine any outliers in these data. Show clearly any calculations that you use.
- On the grid on page 5, draw a box plot to summarise these data.
Ages