Back-to-back stems for two test groups

Back-to-back stems for two test groups

Secondary 2
TGM Original Questions

Test scores are:

  • Boys: \(18,22,25,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,44,46\).
  • Girls: \(24,27,29,31,32,34,35,36,36,38,40,41,43,45,47\).
  1. Draw a back-to-back stem-and-leaf diagram.
  2. Find the commonest mark across both groups.
  3. Which group performed better? Justify using a suitable summary.

Solution:

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Answer:(i) correct back-to-back diagram; (ii) \(36\); (iii) girls, since median \(36>33.5\).

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