- The weights, to the nearest kilogram, of a sample of 33 female spotted hyenas living in the Serengeti are summarised in the stem and leaf diagram below.
\begin{table}[h]
\captionsetup{labelformat=empty}
\caption{Weight (kg)}
| 3 | 2 | 3 | 7 | | | | | | | | | | | | |
| 4 | 1 | 3 | 3 | 4 | 5 | 5 | 6 | 9 | | | | | | | |
| 5 | 1 | 2 | 2 | 3 | 4 | 4 | 5 | 5 | 5 | 7 | 8 | 8 | 9 | 9 | 9 |
| 6 | 2 | 3 | 3 | | | | | | | | | | | | |
| 7 | 1 | 4 | 7 | | | | | | | | | | | | |
| 8 | 4 | | | | | | | | | | | | | | |
\end{table}
Totals
- Find the median and quartiles for the weights of the female spotted hyenas.
An outlier is defined as any value greater than \(c\) or any value less than \(d\) where
$$\begin{aligned}
& c = Q _ { 3 } + 1.5 \left( Q _ { 3 } - Q _ { 1 } \right)
& d = Q _ { 1 } - 1.5 \left( Q _ { 3 } - Q _ { 1 } \right)
\end{aligned}$$ - Showing your working clearly, identify any outliers for these data.
(3)
The weights, to the nearest kilogram, of a sample of male spotted hyenas living in the Serengeti are summarised below.
\includegraphics[max width=\textwidth, alt={}, center]{0377c6e9-ab4f-477d-9236-0732fe81f25e-06_755_1568_1537_185} - In the space provided in the grid above, draw a box and whisker plot to represent the weights of female spotted hyenas living in the Serengeti. Indicate clearly any outliers. (A copy of this grid is on page 9 if you need to redraw your box and whisker plot.)
- Compare the weights of male and female spotted hyenas living in the Serengeti.
Key: 3|2 means 32
\includegraphics[max width=\textwidth, alt={}, center]{0377c6e9-ab4f-477d-9236-0732fe81f25e-09_2658_101_107_9}