CAIE A-Level Mathematics AS 5.1.2 Charts and Diagrams Questions
Practise constructing and interpreting histograms, stem-and-leaf diagrams and box-and-whisker plots.
- Syllabus
- 2028–2030
- Course
- Mathematics 9709
- Level
- AS
Practise constructing and interpreting histograms, stem-and-leaf diagrams and box-and-whisker plots.
The times taken, in seconds, by 15 members of each of two swimming clubs, the Penguins and the Dolphins, to swim 50 metres are shown in the following table.
Draw a back-to-back stem-and-leaf diagram to represent this information, with Penguins on the left-hand side.
| Penguins | Stem | Dolphins |
|---|---|---|
| 9 5 | 3 | 6 |
| 8 5 5 4 2 | 4 | 1 3 8 9 9 |
| 9 8 6 0 | 5 | 0 1 4 6 6 |
| 8 6 1 | 6 | 0 1 4 |
| 2 | 7 | 1 |
Key: 2 | 4 | 1 means 42 seconds for Penguins and 41 seconds for Dolphins.
The diagram shows a box-and-whisker plot representing the times for the Penguins.
On the same diagram, draw a box-and-whisker plot to represent the times for the Dolphins.
For Dolphins, median is 51
Plotted on box.
LQ=48, UQ=60
Plotted on box.
Correct end points for whiskers and diagram labelled Dolphins
Correct end points of whiskers (36 and 71).
Whiskers not through box, not drawn at corners of boxes, diagram
labelled.