Question

5. Avery started training to run a 5K. Her first race was a 5K for charity. She finished in

37.3 minutes. The average race time for the charity run was 36.42 with a standard

deviation of 1.73 minutes. In her second race, Avery finished in 36.5 minutes. The race had a mean time of 33.02 minutes with a standard deviation of 2.45 minutes. In which race did Avery place higher in the list of finishers?

Answer 1

the necessary calculation table for z score be:-

	given data	z score
first race	completion time = 37.3
second race	completion time = 36.5

the higher z score indicates a better performance.i.e, higher place in the list of finishers.

here, the z score for the second race is 1.42 > 0.51.

so, we say that in second race Avery place higher in the list of finishers.

*** if you have any doubt regarding the problem ,please write it in the comment box...if satisfied,please UPVOTE.