- The marks of a group of female students in a statistics test are summarised in Figure 1
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{6faf2dd2-a114-40b7-88ae-4a75dbfb4706-04_629_1102_342_429}
\captionsetup{labelformat=empty}
\caption{Figure 1}
\end{figure}
- Write down the mark which is exceeded by \(75 \%\) of the female students.
The marks of a group of male students in the same statistics test are summarised by the stem and leaf diagram below.
| Mark | (2|6 means 26) | Totals |
| 1 | 4 | (1) |
| 2 | 6 | (1) |
| 3 | 447 | (3) |
| 4 | 066778 | (6) |
| 5 | 001113677 | (9) |
| 6 | 223338 | (6) |
| 7 | 008 | (3) |
| 8 | 5 | (1) |
| 9 | 0 | (1) |
- Find the median and interquartile range of the marks of the male students.
An outlier is a mark that is
either more than \(1.5 \times\) interquartile range above the upper quartile or more than \(1.5 \times\) interquartile range below the lower quartile. - In the space provided on Figure 1 draw a box plot to represent the marks of the male students, indicating clearly any outliers.
- Compare and contrast the marks of the male and the female students.