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OpenStax, Statistics §2.7 Measures of the Spread of the Data · Exercise 21 · Statistics · Describing data

Measures of the Spread of the Data · Exercise 21

An elementary school class ran one mile with a mean of 11 minutes and a standard deviation of three minutes. Rachel, a student in the class, ran one mile in eight minutes. A junior high school class ran one mile with a mean of nine minutes and a standard deviation of two minutes. Kenji, a student in the class, ran one mile in 8.5 minutes. A high school class ran one mile with a mean of seven minutes and a standard deviation of four minutes. Nedda, a student in the class, ran one mile in eight minutes.

(a) Why is Kenji considered a better runner than Nedda even though Nedda ran faster than he?
(b) Who is the fastest runner with respect to his or her class? Explain why.

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OpenStax, Statistics · §2.7 Measures of the Spread of the Data · Exercise 21

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