9 At the end of each school term at North End College all the science classes in year 10 are given a test. The marks out of 100 achieved by members of set 1 are shown in Fig. 9.
\begin{table}[h]
| 3 | 5 | | | | | | | | |
| 4 | 0 | 9 | | | | | | | |
| 5 | 2 | 3 | 6 | | | | | | |
| 6 | 0 | 1 | 3 | 5 | 6 | | | | |
| 7 | 0 | 1 | 2 | 5 | 6 | 8 | 9 | 9 | |
| 8 | 3 | 4 | 6 | 6 | 8 | 8 | 9 | | |
| 9 | 5 | 5 | 5 | 6 | 7 | | | | |
| | | | | | | | | |
\captionsetup{labelformat=empty}
\caption{Fig. 9}
\end{table}
Key \(5 \quad\) 2 represents a mark of 52
- Describe the shape of the distribution.
- The teacher for set 1 claimed that a typical student in his class achieved a mark of 95. How did he justify this statement?
- Another teacher said that the average mark in set 1 is 76 . How did she justify this statement?
Benson's mark in the test is 35 . If the mark achieved by any student is an outlier in the lower tail of the distribution, the student is moved down to set 2 .
- Determine whether Benson is moved down to set 2 .