6 The birth weights in kilograms of 25 female babies are shown below, in ascending order.
| 1.39 | 2.50 | 2.68 | 2.76 | 2.82 | 2.82 | 2.84 | 3.03 | 3.06 | 3.16 | 3.16 | 3.24 | 3.32 |
| 3.36 | 3.40 | 3.54 | 3.56 | 3.56 | 3.70 | 3.72 | 3.72 | 3.84 | 4.02 | 4.24 | 4.34 | |
- Find the median and interquartile range of these data.
- Draw a box and whisker plot to illustrate the data.
- Show that there is exactly one outlier. Discuss whether this outlier should be removed from the data.
The cumulative frequency curve below illustrates the birth weights of 200 male babies.
\includegraphics[max width=\textwidth, alt={}, center]{6b886da6-3fb8-4b4c-b572-f4b770ae5a4c-3_929_1569_1450_248} - Find the median and interquartile range of the birth weights of the male babies.
- Compare the weights of the female and male babies.
- Two of these male babies are chosen at random. Calculate an estimate of the probability that both of these babies weigh more than any of the female babies.