5. The number of patients attending a hospital trauma clinic each day was recorded over several months, giving the data in the table below.
| Number of patients | \(10 - 19\) | \(20 - 29\) | \(30 - 34\) | \(35 - 39\) | \(40 - 44\) | \(45 - 49\) | \(50 - 69\) |
| Frequency | 2 | 18 | 24 | 30 | 27 | 14 | 5 |
These data are represented by a histogram.
Given that the bar representing the 20-29 group is 2 cm wide and 7.2 cm high,
- calculate the dimensions of the bars representing the groups
- 30-34
- 50-69
- Use linear interpolation to estimate the median and quartiles of these data.
The lowest and highest numbers of patients recorded were 14 and 67 respectively.
- Represent these data with a boxplot drawn on graph paper and describe the skewness of the distribution.