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 17.2 Alaska 9.1 Montana 27.7 Arizona 19.1 Nebraska 27.8 Arkansas 21.7 Nevada 23.7 California 37.1 New Hampshire 23.9 Colorado 23.4 New Jersey 14.5 Connecticut 25.1 New Mexico 19.0 Delaware 22.9 New York 33.9 District of Columbia 23.4 North Carolina 35.4 North Dakota 23.1 Florida 30.7 Ohio 28.1 Georgia 26.6 Oklahoma 17.1 Hawaii 18.4 Oregon 30.1 Idaho 33.1 Pennsylvania 51.3 Illinois 33.0 Rhode Island 34.0 Indiana 28.9 South Carolina 16.9 Iowa 31.9 South Dakota 30.1 Kansas 24.9 Tennessee 21.3 Kentucky 25.9 Texas 20.1 Louisiana 21.0 Utah 30.0 Maine 31.5 Vermont 30.6 Maryland 32.7 Virginia 16.9 Massachusetts 26.6 Washington 44.5 Michigan 31.0 West Virginia 33.3 Minnesota 30.5 Wisconsin 33.0 Mississippi 18.3 Wyoming 24.1 (a) The smallest value in the data set is 9.1 (Alaska) and the largest value is 51.3 (Pennsylvania). Are these values outliers? Pennsylvania is an outlier, but Alaska is not.Alaska and Pennsylvania are both outliers. Alaska is an outlier, but Pennsylvania is not.Neither Alaska nor Pennsylvania are outliers. 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 vertical axis numbered from 0 to 60. The box-and-whisker is also vertical. The bottom whisker is approximately 14.5, the bottom edge of the box is approximately 24, the line inside the box is approximately 28.1, the top edge of the box is approximately 33.5, and the top whisker is approximately 44.5. There are 2 outliers located at 9.1 and 51.3. The box-and-whisker plot has a vertical axis numbered from 0 to 60. The box-and-whisker is also vertical. The bottom whisker is approximately 9.1, the bottom edge of the box is approximately 16, the line inside the box is approximately 26.6, the top edge of the box is approximately 36.5, and the top whisker is approximately 51.3. The box-and-whisker plot has a vertical axis numbered from 0 to 60. The box-and-whisker is also vertical. The bottom whisker is approximately 9.1, the bottom edge of the box is approximately 21, the line inside the box is approximately 26.6, the top edge of the box is approximately 31.5, and the top whisker is approximately 44.5. There is one outlier located at 51.3. The box-and-whisker plot has a vertical axis numbered from 0 to 60. The box-and-whisker is also vertical. The bottom whisker is approximately 14.5, the bottom edge of the box is approximately 26, the line inside the box is approximately 31.6, the top edge of the box is approximately 36.5, and the top whisker is approximately 51.3. There is one outlier located at 9.1. 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 17.2 Alaska 9.1 Montana 27.7 Arizona 19.1 Nebraska 27.8 Arkansas 21.7 Nevada 23.7 California 37.1 New Hampshire 23.9 Colorado 23.4 New Jersey 14.5 Connecticut 25.1 New Mexico 19.0 Delaware 22.9 New York 33.9 District of Columbia 23.4 North Carolina 35.4 North Dakota 23.1 Florida 30.7 Ohio 28.1 Georgia 26.6 Oklahoma 17.1 Hawaii 18.4 Oregon 30.1 Idaho 33.1 Pennsylvania 51.3 Illinois 33.0 Rhode Island 34.0 Indiana 28.9 South Carolina 16.9 Iowa 31.9 South Dakota 30.1 Kansas 24.9 Tennessee 21.3 Kentucky 25.9 Texas 20.1 Louisiana 21.0 Utah 30.0 Maine 31.5 Vermont 30.6 Maryland 32.7 Virginia 16.9 Massachusetts 26.6 Washington 44.5 Michigan 31.0 West Virginia 33.3 Minnesota 30.5 Wisconsin 33.0 Mississippi 18.3 Wyoming 24.1 (a) The smallest value in the data set is 9.1 (Alaska) and the largest value is 51.3 (Pennsylvania). Are these values outliers? Pennsylvania is an outlier, but Alaska is not.Alaska and Pennsylvania are both outliers. Alaska is an outlier, but Pennsylvania is not.Neither Alaska nor Pennsylvania are outliers. 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 vertical axis numbered from 0 to 60. The box-and-whisker is also vertical. The bottom whisker is approximately 14.5, the bottom edge of the box is approximately 24, the line inside the box is approximately 28.1, the top edge of the box is approximately 33.5, and the top whisker is approximately 44.5. There are 2 outliers located at 9.1 and 51.3. The box-and-whisker plot has a vertical axis numbered from 0 to 60. The box-and-whisker is also vertical. The bottom whisker is approximately 9.1, the bottom edge of the box is approximately 16, the line inside the box is approximately 26.6, the top edge of the box is approximately 36.5, and the top whisker is approximately 51.3. The box-and-whisker plot has a vertical axis numbered from 0 to 60. The box-and-whisker is also vertical. The bottom whisker is approximately 9.1, the bottom edge of the box is approximately 21, the line inside the box is approximately 26.6, the top edge of the box is approximately 31.5, and the top whisker is approximately 44.5. There is one outlier located at 51.3. The box-and-whisker plot has a vertical axis numbered from 0 to 60. The box-and-whisker is also vertical. The bottom whisker is approximately 14.5, the bottom edge of the box is approximately 26, the line inside the box is approximately 31.6, the top edge of the box is approximately 36.5, and the top whisker is approximately 51.3. There is one outlier located at 9.1. 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.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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	17.2
Alaska	9.1	Montana	27.7
Arizona	19.1	Nebraska	27.8
Arkansas	21.7	Nevada	23.7
California	37.1	New Hampshire	23.9
Colorado	23.4	New Jersey	14.5
Connecticut	25.1	New Mexico	19.0
Delaware	22.9	New York	33.9
District of Columbia	23.4	North Carolina	35.4
North Dakota	23.1
Florida	30.7	Ohio	28.1
Georgia	26.6	Oklahoma	17.1
Hawaii	18.4	Oregon	30.1
Idaho	33.1	Pennsylvania	51.3
Illinois	33.0	Rhode Island	34.0
Indiana	28.9	South Carolina	16.9
Iowa	31.9	South Dakota	30.1
Kansas	24.9	Tennessee	21.3
Kentucky	25.9	Texas	20.1
Louisiana	21.0	Utah	30.0
Maine	31.5	Vermont	30.6
Maryland	32.7	Virginia	16.9
Massachusetts	26.6	Washington	44.5
Michigan	31.0	West Virginia	33.3
Minnesota	30.5	Wisconsin	33.0
Mississippi	18.3	Wyoming	24.1

(a)

The smallest value in the data set is 9.1 (Alaska) and the largest value is 51.3 (Pennsylvania). Are these values outliers?

Pennsylvania is an outlier, but Alaska is not.Alaska and Pennsylvania are both outliers. Alaska is an outlier, but Pennsylvania is not.Neither Alaska nor Pennsylvania are outliers.

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 vertical axis numbered from 0 to 60. The box-and-whisker is also vertical. The bottom whisker is approximately 14.5, the bottom edge of the box is approximately 24, the line inside the box is approximately 28.1, the top edge of the box is approximately 33.5, and the top whisker is approximately 44.5. There are 2 outliers located at 9.1 and 51.3.

The box-and-whisker plot has a vertical axis numbered from 0 to 60. The box-and-whisker is also vertical. The bottom whisker is approximately 9.1, the bottom edge of the box is approximately 16, the line inside the box is approximately 26.6, the top edge of the box is approximately 36.5, and the top whisker is approximately 51.3.

The box-and-whisker plot has a vertical axis numbered from 0 to 60. The box-and-whisker is also vertical. The bottom whisker is approximately 9.1, the bottom edge of the box is approximately 21, the line inside the box is approximately 26.6, the top edge of the box is approximately 31.5, and the top whisker is approximately 44.5. There is one outlier located at 51.3.

The box-and-whisker plot has a vertical axis numbered from 0 to 60. The box-and-whisker is also vertical. The bottom whisker is approximately 14.5, the bottom edge of the box is approximately 26, the line inside the box is approximately 31.6, the top edge of the box is approximately 36.5, and the top whisker is approximately 51.3. There is one outlier located at 9.1.

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.

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