6. Hospital records show the number of babies born in a year. The number of babies delivered by 15 male doctors is summarised by the stem and leaf diagram below.
| Babies | (4 5 means 45) | Totals |
| 0 | | (0) |
| 1 | 9 | (1) |
| 2 | 1677 | (4) |
| 3 | 22348 | (5) |
| 4 | 5 | (1) |
| 5 | 1 | (1) |
| 6 | 0 | (1) |
| 7 | | (0) |
| 8 | 67 | (2) |
- Find the median and inter-quartile range of these data.
- Given that there are no outliers, draw a box plot on graph paper to represent these data. Start your scale at the origin.
- Calculate the mean and standard deviation of these data.
The records also contain the number of babies delivered by 10 female doctors.
The quartiles are 11, 19.5 and 30 .
- Using the same scale as in part (b) and on the same graph paper draw a box plot for the data for the 10 female doctors.
- Compare and contrast the box plots for the data for male and female doctors.