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Statistics and Probability

The current Men’s high school track record for the mile is 3:53, set by Alan Webb back in 2006. The average mile time for a high school senior is 4:22 (262 seconds), with a standard deviation of 6.3 seconds. Paul, a high school senior, runs the mile in 4:19 (259 seconds).  

1.) What is Paul’s percentile ranking among high school seniors? HINT: don’t forget that in this case less is better so you will need to reverse the scale!

2.) If Brian’s percentile ranking for running the mile is 72%, what is his mile time?


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  • The current Men’s high school track record for the mile is 3:53, set by Alan Webb...

    The current Men’s high school track record for the mile is 3:53, set by Alan Webb back in 2006. The average mile time for a high school senior is 4:22 (262 seconds), with a standard deviation of 6.3 seconds. Paul, a high school senior, runs the mile in 4:19 (259 seconds).   1.) What is Paul’s percentile ranking among high school seniors? HINT: don’t forget that in this case less is better so you will need to reverse the scale! 2.)...

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