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Chapter 2: Q61E (page 103)

Using only integers between 0 and 10, construct two data sets with at least 10 observations each that have the same range but different means. Construct a dot plot for each of your data sets, and mark the mean of each data set on its dot diagram.

Short Answer

Expert verified
  1. Set A: 1, 4, 3, 2, 0, 2, 2, 3, 3, 0

Set B: 7, 5, 6, 8, 5, 8, 6, 6, 4, 5


2.

Step by step solution

01

Creating 2 data sets only by using integers between 0 and 10

Set A: 1, 4, 3, 2, 0, 2, 2, 3, 3, 0

Range = 4 鈥� 0 = 4

Mean = 2

Set B: 7, 5, 6, 8, 5, 8, 6, 6, 4, 5

Range = 8 鈥� 4 = 4

Mean = 6

02

Constructing a dot plot for Set A


03

Creating a dot plot for Set B

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Most popular questions from this chapter

Question: State SAT scores.Refer to Exercise 2.27 (p. 84) and the data on state SAT scores. Construct a scatterplot for the data, with the 2010 Math SAT score on the horizontal axis and the 2014 Math SAT score on the vertical axis. What type of trend do you detect?

State

2010 Math SAT

2014 Math SAT

Alabama

538

550

Alaska

503

513

Arizona

527

524

Arkansa

571

564

California

510

516

Wisconsin

608

603

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599

565

Surface roughness of oil field pipe.Oil field pipes are internally coated to prevent corrosion. Researchers at the University of Louisiana, Lafayette, investigated the influence that coating may have on the surface roughness of oil field pipes (Anti-corrosion Methods and Materials, Vol. 50, 2003). A scanning probe instrument was used to measure the surface roughness of each in a sample of 20 sections of coated interior pipe. The data (in micrometers) are provided in the table.

(1.72, 2.50, 2.16, 2.13, 1.06, 2.24, 2.3,1 2.03, 1.09, 1.40, 2.57, 2.64, 1.26, 2.05, 1.19, 2.13, 1.27, 1.51, 2.41, 1.95)

a.Find and interpret the mean of the sample.

b.Find and interpret the median of the sample.

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Question: Lobster trap placement.The strategic placement of lobster traps is one of the keys to a successful lobster fisherman. An observational study of teams fishing for the red spiny lobster in Baja California Sur, Mexico, was conducted and the results were published in the Bulletin of Marine Science(April 2010). Two variables measured for each of eightteams from the Punta Abreojos (PA) fishing cooperativewere y= total catch of lobsters (in kilograms) during theseason and x= average percentage of traps allocated perday to exploring areas of unknown catch (called search frequency).These data are listed in the next table. Graph

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Active nuclear power plants.Refer to Exercise 2.54 (p. 98) and the Nuclear Energy Institute鈥檚 data on the number of nuclear power plants operating in each of 30 states.

a.Find the range, variance, and standard deviation of this data set.

b.Eliminate the largest value from the data set and repeat part a.What effect does dropping this measurement have on the measures of variation found in part a?

c.Eliminate the smallest and largest value from the data set and repeat part a. What effect does dropping both of these measurements have on the measures of variation found in part a?

State

Status

Number of Power Plants

Alabama

Regulated

2

Arizona

Regulated

1

Arkansas

Regulated

1

California

Regulated

1

Connecticut

Deregulated

1

Florida

Regulated

3

Georgia

Regulated

2

Illinois

Deregulated

6

Iowa

Deregulated

1

Kansas

Regulated

1

Louisiana

Regulated

2

Maryland

Deregulated

1

Massachusetts

Deregulated

1

Michigan

Deregulated

3

Minnesota

Regulated

2

Mississippi

Regulated

1

Missouri

Regulated

1

Nebraska

Regulated

2

New Hampshire

Deregulated

1

New Jersey

Deregulated

3

New York

Deregulated

4

North Carolina

Regulated

3

Ohio

Deregulated

2

Pennsylvania

Deregulated

5

South Carolina

Regulated

4

Tennessee

Regulated

2

Texas

Deregulated

2

Virginia

Regulated

2

Washington

Regulated

1

Wisconsin

Deregulated

1

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