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Exercise 9

Avg difficulty 3.0

Means and SDs. For each part, compare distributions (1) and (2) based on their means and standard deviations. You do not need to calculate these statistics; simply state how the means and the standard deviations compare. Make sure to explain your reasoning. Hint: It may be useful to sketch dot plots of the distributions.

  1. (1) 3, 5, 5, 5, 8, 11, 11, 11, 13 (2) 3, 5, 5, 5, 8, 11, 11, 11, 20

  2. (1) -20, 0, 0, 0, 15, 25, 30, 30 (2) -40, 0, 0, 0, 15, 25, 30, 30

  3. (1) 0, 2, 4, 6, 8, 10 (2) 20, 22, 24, 26, 28, 30

  4. (1) 100, 200, 300, 400, 500 (2) 0, 50, 300, 550, 600

Diez, Barr & Çetinkaya-Rundel, OpenIntro Statistics, Summarizing data, End-of-Chapter Exercises, Exercise 9

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Adapted from OpenIntro Statistics © 2019 David Diez, Mine Çetinkaya-Rundel & Christopher D. Barr. Licensed under CC BY-SA 3.0. Source: OpenIntro Statistics. Imported at revision fee2509.