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Chapter 2: Q.1 (page 125)

For each of the following data sets, create a stem plot and identify any outliers.

The miles per gallon rating for 30 cars are shown below (lowest to highest).19,19,19,20,21,21,25,25,25,26,26,28,29,31,31,32,32,33,34,35,36,37,37,38,38,38,38,41,43,43

Short Answer

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The stem plot of data is

Step by step solution

01

Content Introduction

A stem and leaf plot divides data into stems (the greatest digit) and leaves (the lowest digit) (the smallest digits). Stem-and-leaf diagrams are excellent for illustrating the relative density and form of data, providing a fast summary of the distribution to the reader. They keep (most) of the raw numerical data, which is typically in great condition. They can also be used to find the mode and identify outliers.

02

Content Explanation

The data is divided into 30points and utilized to create stem and leaf plot.

The stem and leaf plot shows a summary of the data and allows us to immediately examine the distribution's form as well as which areas of the data are frequently used.

The data stem plot is

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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.

Suppose that you are buying a house. You and your realtor have determined that the most expensive house you can afford is the 34thpercentile. The 34thpercentile of housing prices is $240,000in the town you want to move to. In this town, can you afford 34%of the houses or 66%of the houses?

The following data show the different types of pet food stores in the area carry. 6;6;6;6;7;7;7;7;7;8;9;9;9;9;10;10;10;10;10;11;11;11;11;12;12;12;12;12;12; Calculate the sample mean and the sample standard deviation to one decimal place using a TI-83+orTI-84 calculator.

Given the following box plots, answer the questions.

a. In complete sentences, explain why each statement is false.

i. Data 1 has more data values above two than Data 2 has above two.

ii. The data sets cannot have the same mode.

iii. For Data 1, there are more data values below four than there are above four.

b. For which group, Data 1 or Data 2, is the value of 鈥�7鈥� more likely to be an outlier? Explain why in complete sentences.

The following box plot shows the U.S. population for 1990, the latest available year.

a. Are there fewer or more children (age 17 and under) than senior citizens (age 65 and over)? How do you know?

b. 12.6% are age 65 and over. Approximately what percentage of the population are working age adults (above age 17 to age 65)?
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