9709 P52 - Jun 2022 - Q3
2500
The back-to-back stem-and-leaf diagram shows the diameters, in cm, of 19 cylindrical pipes produced by each of two companies, A and B.
| Company A | Company B | |
|---|---|---|
| 9 8 3 2 0 | 33 | 1 2 8 |
| 8 7 5 4 1 | 34 | 1 6 8 9 9 |
| 9 6 5 2 | 35 | 1 2 2 3 |
| 4 3 1 | 36 | 5 6 |
| 37 | 0 3 4 | |
| 38 | 2 8 |
Key: 1 | 35 | 3 means the pipe diameter from company A is 0.351 cm and from company B is 0.353 cm.
- Find the median and interquartile range of the pipes produced by company A.
- It is given that for the pipes produced by company B the lower quartile, median and upper quartile are 0.346 cm, 0.352 cm and 0.370 cm respectively. Draw box-and-whisker plots for companies A and B on the grid below.
- Make one comparison between the diameters of the pipes produced by companies A and B.
