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.
Its source prints no answer for this problem, so there's nothing to check against.
OpenStax, Statistics · §2.7 Measures of the Spread of the Data · Exercise 21
No hints for this one.
Check your full solution
Attach photos of your pages (up to 3) or one PDF — or check what you typed above. Lemma reads the work and verifies the reasoning, not just the answer.
Your first check today doesn't need an account.
Your photos and PDFs are read once and not stored — only the transcription is kept.