ran one mae with a mean of ten minutes and andard deviation oftwo minutes. Kenp,

Question

ran one mae with a mean of ten minutes and andard deviation oftwo minutes. Kenp, a st dere in the clasa, ran 1 mile in 8.5 minutes, A high school dass ran one mile with a mean of seven minutes ud standard deviation of four minutes 5edda, student in the dasa, ran one mile in eigm minutes. (a) Why is Keni considered a better runner than Nedda, even though Nedde ran faster than he? (Round your standard deviations to two decimal places J Kenj is considered a better runner than Nedda because Kenjr's time for one mile was x standard deviations fasethan the mean of his class and Nedda's X standard deviations slower than her class (b) Who is the fastest runner with respect to his or her class? Explain why, (Round your standard deviation to two decimal places Rachelwas the festest runner with respect to his/her class as he/she had a time that was X standard deviation(s) faster than his/her lass

Explanation / Answer

as we know z score=(X-mean)/std deviation

a)

Kenji is considerd a better runner,,,,,,,,,,,,,for one mile was 0.75 std deviaiton faster then the mean....

and Nedda time was 0.25 std deviation slower ........

b)

Rachel was the fastest .. that was 1 std deviaiton faster than...

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