Data on the gasoline tax per gallon (in cents) as of a certain date for the 50 U.S. states and the District of Columbia are shown below. State Gasoline Tax per Gallon State Gasoline Tax per Gallon Alabama 19.1 Missouri 17.4 Alaska 8.9 Montana 27.9 Arizona 19.1 Nebraska 27.8 Arkansas 21.7 Nevada 23.9 California 37.3 New Hampshire 23.9 Colorado 23.2 New Jersey 14.5 Connecticut 24.9 New Mexico 19.0 Delaware 22.9 New York 33.9 District of Columbia 23.4 North Carolina 35.2 North Dakota 22.9 Florida 30.7 Ohio 27.9 Georgia 26.6 Oklahoma 17.1 Hawaii 18.4 Oregon 30.1 Idaho 33.1 Pennsylvania 51.5 Illinois 33.0 Rhode Island 34.0 Indiana 28.9 South Carolina 16.9 Iowa 31.7 South Dakota 30.1 Kansas 24.9 Tennessee 21.3 Kentucky 25.9 Texas 20.1 Louisiana 20.8 Utah 30.2 Maine 31.5 Vermont 30.6 Maryland 32.9 Virginia 16.9 Massachusetts 26.6 Washington 44.7 Michigan 31.0 West Virginia 33.1 Minnesota 30.7 Wisconsin 32.8 Mississippi 18.3 Wyoming 24.1 (a) The smallest value in the data set is 8.9 (Alaska) and the largest value is 51.5 (Pennsylvania). Are these values outliers? Neither Alaska nor Pennsylvania are outliers. Pennsylvania is an outlier, but Alaska is not. Alaska and Pennsylvania are both outliers. Alaska is an outlier, but Pennsylvania is not. How do you know if they are outliers? To be an outlier, an observation has to be greater than or less than . (b) Construct a boxplot of the data set. The box-and-whisker plot has a horizontal axis numbered from 0 to 60. The box-and-whisker is also horizontal. The left whisker is approximately 14.5, the left edge of the box is approximately 23.8, the line inside the box is approximately 27.9, the right edge of the box is approximately 33.5, and the right whisker is approximately 44.7. There are 2 outliers located at 8.9 and 51.5. The box-and-whisker plot has a horizontal axis numbered from 0 to 60. The box-and-whisker is also horizontal. The left whisker is approximately 14.5, the left edge of the box is approximately 25.8, the line inside the box is approximately 31.6, the right edge of the box is approximately 36.5, and the right whisker is approximately 51.5. There is one outlier located at 8.9. The box-and-whisker plot has a horizontal axis numbered from 0 to 60. The box-and-whisker is also horizontal. The left whisker is approximately 8.9, the left edge of the box is approximately 20.8, the line inside the box is approximately 26.6, the right edge of the box is approximately 31.5, and the right whisker is approximately 44.7. There is one outlier located at 51.5. The box-and-whisker plot has a horizontal axis numbered from 0 to 60. The box-and-whisker is also horizontal. The left whisker is approximately 8.9, the left edge of the box is approximately 15.8, the line inside the box is approximately 26.6, the right edge of the box is approximately 36.5, and the right whisker is approximately 51.5. Comment on the interesting features of the plot. (Round numerical answers to the nearest cent.) The boxplot shows that a typical gasoline tax is around cents per gallon, that the middle 50% of gasoline taxes lie between 21 and cents per gallon, and that the distribution is . There outlier(s) in the distribution.
Data on the gasoline tax per gallon (in cents) as of a certain date for the 50 U.S. states and the District of Columbia are shown below.
State
Gasoline Tax
per Gallon
State
Gasoline Tax
per Gallon
Alabama
19.1
Missouri
17.4
Alaska
8.9
Montana
27.9
Arizona
19.1
Nebraska
27.8
Arkansas
21.7
Nevada
23.9
California
37.3
New Hampshire
23.9
Colorado
23.2
New Jersey
14.5
Connecticut
24.9
New Mexico
19.0
Delaware
22.9
New York
33.9
District of
Columbia
23.4
North Carolina
35.2
North Dakota
22.9
Florida
30.7
Ohio
27.9
Georgia
26.6
Oklahoma
17.1
Hawaii
18.4
Oregon
30.1
Idaho
33.1
Pennsylvania
51.5
Illinois
33.0
Rhode Island
34.0
Indiana
28.9
South Carolina
16.9
Iowa
31.7
South Dakota
30.1
Kansas
24.9
Tennessee
21.3
Kentucky
25.9
Texas
20.1
Louisiana
20.8
Utah
30.2
Maine
31.5
Vermont
30.6
Maryland
32.9
Virginia
16.9
Massachusetts
26.6
Washington
44.7
Michigan
31.0
West Virginia
33.1
Minnesota
30.7
Wisconsin
32.8
Mississippi
18.3
Wyoming
24.1
(a)
The smallest value in the data set is 8.9 (Alaska) and the largest value is 51.5 (Pennsylvania). Are these values outliers?
Neither Alaska nor Pennsylvania are outliers.
Pennsylvania is an outlier, but Alaska is not.
Alaska and Pennsylvania are both outliers.
Alaska is an outlier, but Pennsylvania is not.
How do you know if they are outliers?
To be an outlier, an observation has to be greater than or less than .
(b)
Construct a boxplot of the data set.
The box-and-whisker plot has a horizontal axis numbered from 0 to 60. The box-and-whisker is also horizontal. The left whisker is approximately 14.5, the left edge of the box is approximately 23.8, the line inside the box is approximately 27.9, the right edge of the box is approximately 33.5, and the right whisker is approximately 44.7. There are 2 outliers located at 8.9 and 51.5.
The box-and-whisker plot has a horizontal axis numbered from 0 to 60. The box-and-whisker is also horizontal. The left whisker is approximately 14.5, the left edge of the box is approximately 25.8, the line inside the box is approximately 31.6, the right edge of the box is approximately 36.5, and the right whisker is approximately 51.5. There is one outlier located at 8.9.
The box-and-whisker plot has a horizontal axis numbered from 0 to 60. The box-and-whisker is also horizontal. The left whisker is approximately 8.9, the left edge of the box is approximately 20.8, the line inside the box is approximately 26.6, the right edge of the box is approximately 31.5, and the right whisker is approximately 44.7. There is one outlier located at 51.5.
The box-and-whisker plot has a horizontal axis numbered from 0 to 60. The box-and-whisker is also horizontal. The left whisker is approximately 8.9, the left edge of the box is approximately 15.8, the line inside the box is approximately 26.6, the right edge of the box is approximately 36.5, and the right whisker is approximately 51.5.
Comment on the interesting features of the plot. (Round numerical answers to the nearest cent.)
The boxplot shows that a typical gasoline tax is around cents per gallon, that the middle 50% of gasoline taxes lie between 21 and cents per gallon, and that the distribution is . There outlier(s) in the distribution.
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 1 images
