Many cities sponsor marathons each year. The following histogram shows the distribution of times that it took

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Many cities sponsor marathons each year. The following histogram shows the distribution of times that it took for 10,002 runners to complete the Rome marathon in 2008, with a normal curve superimposed. The fastest runner completed the 26.3-mile course in 2 hours and 9 minutes, or 129 minutes. The average time was 245 minutes and the standard deviation was 40 minutes. Use the normal curve to answer the following questions.
(a) What percentage of times were greater than 200 minutes?
(b) What is the 60th percentile of the times?
(c) Notice that the normal curve approximation is fairly good except around the 240-minute mark. How can we explain this anomalous behavior of the distribution?
align="center">Many cities sponsor marathons each year. The following histogram shows
Distribution
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Statistics For The Life Sciences

ISBN: 9780321989581

5th Edition

Authors: Myra Samuels, Jeffrey Witmer, Andrew Schaffner

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