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Chapter 2: Q.27 (page 132)

a. For runners in a race, a higher speed means a faster run. Is it more desirable to have a speed with a high or a low percentile when running a race?

b. The 40th percentile of speeds in a particular race is7.5 miles per hour. Write a sentence interpreting the 40th percentile in the context of the situation.

Short Answer

Expert verified

a. It is desirable to have speed with high percentile.

b.60%of runners finished their race at speed of7.5mileswith1hour.or more

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 have speed with high percentile when running race because high percentile means high speed.

03

Explanation (Part b)

It can be interpreted as 40%of runners finished their race at speed 7.5milesper hour or less. On the other hand, 60%of runners finished their race at speed of 7.5miles within an hour or more

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Most popular questions from this chapter

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.

Use the following information to answer the next three exercises: State whether the data are symmetrical, skewed to the left, or skewed to the right.

1;1;1;2;2;2;2;3;3;3;3;3;3;3;3;4;4;4;5;5

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The data are ordered from smallest to largest. Calculate the mean and median.

3;4;5;7;7;7;7;8;8;9;9;10;10;10;10;10;11;12;12;13;14;14;15;15;17;17;18;19;19;19;21;21;22;22;23;24;24;24;24

In a study collecting data about the repair costs of damage to automobiles in a certain type of crash test, a certain model of car had $1700in damage and was in the 90th percentile. Should the manufacturer and the consumer be pleased or upset by this result? Explain and write a sentence that interprets the 90th percentile in the context of this problem.

The population in Park City is made up of children, working-age adults, and retirees. Table 2.10shows the three age groups, the number of people in the town from each age group, and the proportion (%) of people in each age group. Construct a bar graph showing the proportions.
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