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a. For runners in a race, a low time means a faster run. The winners in a race have the shortest running times. Is it more desirable to have a finish time with a high or a low percentile when running a race?

b. The 20th percentile of run times in a particular race is 5.2 minutes. Write a sentence interpreting the 20th percentile in the context of the situation.

c. A bicyclist in the90th percentile of a bicycle race completed the race in 1 hour and 12 minutes. Is he among the fastest or slowest cyclists in the race? Write a sentence interpreting the 90th percentile in the context of the situation.

Short Answer

Expert verified

a. It is desirable to finish with low percentile.

b. It can be interpreted as 20%of numbers finished their race in 5.2minutes or less.

c. The 90%cyclist are fastest than 10%in the race.

Step by step solution

01

Content Introduction

The frequency of a data value is the number of times it happens.

02

Explanation (Part a)

It is desirable to finish with low percentile because low percentile means a short time.

03

Explanation (Part b)

It can be interpreted as 20% of numbers finished their race in 5.2minutes or less.

04

Explanation (Part c)

It can be interpreted as the 90%bicyclist finished their race in 1hour12minor less. Only10%bicyclist completed their race with time.The 90% cyclist are fastest than 10%in the race.

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