Exam-Style Problem

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June 2022 p52 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 0331 2 8
8 7 5 4 1341 6 8 9 9
9 6 5 2351 2 2 3
4 3 1365 6
370 3 4
382 8

Key: 1 | 35 | 3 means the pipe diameter from company A is 0.351 cm and from company B is 0.353 cm.

  1. Find the median and interquartile range of the pipes produced by company A.
  2. 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.
  3. Make one comparison between the diameters of the pipes produced by companies A and B.
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