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Exercise 16

Avg difficulty 2.5

According to a local marathon club, the mean finishing time for a marathon is 274 minutes, with a standard deviation of 63 minutes.

  1. If I can run a marathon with a finishing time of 170 minutes, find the Z-score for my marathon time.

  2. Is my marathon finishing time of 170 minutes unusually fast? Explain your answer using the Z-score.

Lee et al., Math in Society, §3.4 Summary Statistics: Measures of Variation, Exercise 16

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Adapted from Math in Society © 2018–2024 Portland Community College Math Instructors. Licensed under CC BY-SA 4.0. Source: Math in Society. Imported at revision 68ee43c.