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This chart displays the average rate of people living in poverty in the 23 continental states westof the Mississippi River for the years 2014 -

  1. This chart displays the average rate of people living in poverty in the 23 continental states westof the Mississippi River for the years 2014 - 2016. Create a stemplot for these data. Note thata stemplot never shows the decimal symbol and only the rightmost digit is used for the leaf.(https://www.census.gov/data/tables/2017/demo/income-poverty/p60-259.html)

State

Rate of Poverty (%)

Minnesota

8.3

Utah

9.4

Iowa

10.1

Wyoming

10.1

Colorado

10.2

North Dakota

10.5

Nebraska

10.6

Missouri

11.1

Washington

11.5

Idaho

11.9

Montana

11.9

Kansas

12.5

Oregon

12.7

Nevada

13.4

South Dakota

13.7

California

14.5

Texas

15.0

Oklahoma

15.4

Arkansas

16.8

Arizona

18.2

New Mexico

19.1

Louisiana

20.6

Mississippi

20.8

  1. Below is a listing of all U.S. Presidents and the number of children they had, sorted by the number of children. Find the five-number summary, create a boxplot, and create a dotplot.

President

Number of Children

Tyler

15

W. H. Harrison

10

Hayes

8

Garfield

7

Jefferson

6

Taylor

6

T. Roosevelt

6

F. D. Roosevelt

6

J. Adams

5

A. Johnson

5

Cleveland

5

G. H. W. Bush

5

Trump

5

J. Q. Adams

4

Van Buren

4

Lincoln

4

Grant

4

Kennedy

4

Ford

4

Carter

4

Reagan

4

Biden

4

Pierce

3

Arthur

3

B. Harrison

3

Taft

3

Wilson

3

Monroe

2

Fillmore

2

McKinley

2

Coolidge

2

Hoover

2

Eisenhower

2

L. B. Johnson

2

Nixon

2

G. W. Bush

2

Obama

2

Truman

1

Clinton

1

Washington

0

Madison

0

Jackson

0

Polk

0

Buchanan

0

Harding

0
  1. Use the following for Questions 3-6.

Highest Degree Earned

Unemployment Rate (%)

Median Weekly Earnings ($)

Doctoral Degree

1.5

1,743

Professional Degree

1.5

1,836

Master's Degree

2.2

1,401

Bachelor's Degree

2.5

1,173

Associate's Degree

3.4

836

Some College, No Degree

4.0

774

High School Diploma

4.6

712

Less than a High School Diploma

6.5

520

Overall

3.6

907

  1. What population is described by this data?
  2. Describe the relationship between: a) unemployment and educational attainment b) weekly earnings and educational attainment
  3. What was the overall national: a) percentage of unemployment? b) median weekly earnings?
  4. Based on this data, is it better to earn a doctoral degree or a professional degree? Why?
  5. Use the following to answer questions 7-12.The data are the maximum daily temperatures at Cox-Dayton International Airport for June and July 2018.

Date

Max (F)

Jun 1

80

Jun 2

82

Jun 3

81

Jun 4

75

Jun 5

76

Jun 6

71

Jun 7

82

Jun 8

85

Jun 9

86

Jun 10

77

Jun 11

75

Jun 12

78

Jun 13

85

Jun 14

82

Jun 15

86

Jun 16

90

Jun 17

92

Jun 18

92

Jun 19

89

Jun 20

85

Jun 21

72

Jun 22

81

Jun 23

79

Jun 24

85

Jun 25

79

Jun 26

79

Jun 27

81

Jun 28

85

Jun 29

89

Jun 30

92

Jul 1

93

Jul 2

90

Jul 3

89

Jul 4

92

Jul 5

92

Jul 6

81

Jul 7

79

Jul 8

86

Jul 9

89

Jul 10

91

Jul 11

83

Jul 12

83

Jul 13

89

Jul 14

90

Jul 15

90

Jul 16

86

Jul 17

86

Jul 18

83

Jul 19

83

Jul 20

73

Jul 21

76

Jul 22

80

Jul 23

78

Jul 24

79

Jul 25

85

Jul 26

84

Jul 27

78

Jul 28

80

Jul 29

78

Jul 30

76

Jul 31

76
  1. Calculate the mean maximum daily temperature at Cox-Dayton International Airport for June and July 2018.
  2. Complete the following frequency chart.

Temperature

Frequency

Relative Frequency

70 - 74

75 - 79

80 - 84

85 - 89

90 - 94

  1. From the frequency chart, calculate the mean.
  2. How does the mean from the raw data (question 7) compare to the mean from the grouped data (question 9)?
  3. Use the frequency chart to create a histogram of the daily high temperatures at Cox-Dayton International Airport for June and July 2018.
  4. Describe the distribution by shape, center, and spread. Also, indicate if there are any outliers.
  5. Two 2017 high school graduates want to compare their results on college entrance exams. Alex scored 1401 on the SAT, and Olivia scored 32 on the ACT. For 2017, the mean SAT score was 1060, and the standard deviation was 195. That same year, the ACT had a mean score of 21.0 and a standard deviation of 5.6. Calculate a z-score for each student, determine which student had the better test score, and explain why.

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