Solution: Graphing Data Sets In Exercises 1732 organize the data using the indicatedtype

Problem 1E Name some ways to display quantitative data graphically. Name some ways to display qualitative data graphically.

Problem 42EC Yoga Classes The data sets show the ages of all participants in two yoga classes. 3:00 p.m. Class 8:00 p.m. Class 40 60 73 77 51 68 19 18 20 29 39 43 68 35 68 53 64 75 71 56 44 44 18 19 76 69 59 55 38 57 19 18 18 20 25 29 68 84 75 62 73 75 25 22 31 24 24 23 85 77 19 19 18 28 20 31 (a) Make a back-to-back stem-and-leaf plot to display the data. ________________ (b) What are the lowest and highest ages of participants in the 3:00 p.m. class? in the 8:00 p.m. class? ________________ (c) How many participants are in each class? ________________ (d) Compare the distribution of ages in each class. What observation(s) can you make?

Problem 2E What is an advantage of using a stem-and-leaf plot instead of a histogram? What is a disadvantage?

Problem 3E In terms of displaying data, how is a stem-and-leaf plot similar to a dot plot?

Problem 4E How is a Pareto chart different from a standard vertical bar graph?

Putting Graphs in Context In Exercises 5– 8, match the plot with the description of the sample. (a) Times (in minutes) it takes a sample of employees to drive to work (b) Grade point averages of a sample of students with finance majors (c) Top speeds (in miles per hour) of a sample of high-performance sports cars (d) Ages (in years) of a sample of residents of a retirement home

Putting Graphs in Context In Exercises 5– 8, match the plot with the description of the sample. (a) Times (in minutes) it takes a sample of employees to drive to work (b) Grade point averages of a sample of students with finance majors (c) Top speeds (in miles per hour) of a sample of high-performance sports cars (d) Ages (in years) of a sample of residents of a retirement home

Putting Graphs in Context In Exercises 5– 8, match the plot with the description of the sample. (a) Times (in minutes) it takes a sample of employees to drive to work (b) Grade point averages of a sample of students with finance majors (c) Top speeds (in miles per hour) of a sample of high-performance sports cars (d) Ages (in years) of a sample of residents of a retirement home

Putting Graphs in Context In Exercises 5– 8, match the plot with the description of the sample. (a) Times (in minutes) it takes a sample of employees to drive to work (b) Grade point averages of a sample of students with finance majors (c) Top speeds (in miles per hour) of a sample of high-performance sports cars (d) Ages (in years) of a sample of residents of a retirement home

Graphical Analysis In Exercises 9–12, use the stem-and-leaf plot or dot plot to list the actual data entries. What is the maximum data entry? What is the minimum data entry?

Graphical Analysis In Exercises 9–12, use the stem-and-leaf plot or dot plot to list the actual data entries. What is the maximum data entry? What is the minimum data entry?

Graphical Analysis In Exercises 9–12, use the stem-and-leaf plot or dot plot to list the actual data entries. What is the maximum data entry? What is the minimum data entry?

Graphical Analysis In Exercises 9–12, use the stem-and-leaf plot or dot plot to list the actual data entries. What is the maximum data entry? What is the minimum data entry?

Graphical Analysis In Exercises 13 –16, give three observations that can be made from the graph. Average Time Spent on 5 Social Networking Sites per Visitor for One Month (Source: comScore)

Graphical Analysis In Exercises 13 –16, give three observations that can be made from the graph. Motor Vehicle Thefts in U.S. (Source: Federal Bureau of Investigation)

Graphical Analysis In Exercises 13 –16, give three observations that can be made from the graph. Amount Spent on Pet Care (Source: American Pet Products Association)

Graphical Analysis In Exercises 13 –16, give three observations that can be made from the graph. How Other Drivers Irk Us (Adapted from Reuters/Zogby)

Problem 17E Graphing Data Sets In Exercise, organize the data using the indicated type of graph. Describe any patterns. Exam Scores Use a stem-and-leaf plot to display the data. The data represent the scores of a biology class on a midterm exam. 75 85 90 80 87 67 82 88 95 91 73 80 83 92 94 68 75 91 79 95 87 76 91 85

Problem 18E Graphing Data Sets In Exercise, organize the data using the indicated type of graph. Describe any patterns. Nursing Use a stem-and-leaf plot to display the data. The data represent the numbers of hours 24 nurses work per week. 40 40 35 48 38 40 36 50 32 36 40 35 30 24 40 36 40 36 40 39 33 40 32 38

Problem 20E Graphing Data Sets In Exercise, organize the data using the indicated type of graph. Describe any patterns. Apple Prices Use a stem-and-leaf plot to display the data shown in the table at the left. The data represent the prices (in cents per pound) paid to 28 farmers for apples. Apple prices (in cents per pound) 28.2 28.6 25.4 26.1 28.0 26.4 26.3 29.1 28.0 26.5 26.6 27.6 27.4 26.7 28.5 27.4 27.9 26.5 28.3 29.8 28.3 27.6 27.6 27.3 26.1 27.1 25.8 26.9

Problem 21E Graphing Data Sets In Exercise, organize the data using the indicated type of graph. Describe any patterns. Highest-Paid CEOs Use a stem-and-leaf plot that has two rows for each stem to display the data. The data represent the ages of the top 30 highest-paid CEOs. (Source: Forbes) 53 72 55 67 59 57 55 59 61 60 59 56 63 58 58 52 61 65 61 50 65 59 58 66 57 64 58 59 66 56

Problem 19E Graphing Data Sets In Exercise, organize the data using the indicated type of graph. Describe any patterns. Ice Thickness Use a stem-and-leaf plot to display the data. The data represent the thicknesses (in centimeters) of ice measured at 20 different locations on a frozen lake. 5.8 6.4 6.9 7.2 5.1 4.9 4.3 5.8 7.0 6.8 8.1 7.5 7.2 6.9 5.8 7.2 8.0 7.0 6.9 5.9

Organize the data using the indicated type of graph. Describe any patterns. Use a dot plot to display the data. The data represent the systolic blood pressures (in millimeters of mercury) of 30 patients at a doctor’s office. 120 135 140 145 130 150 120 170 145 125 130 110 160 180 200 150 200 135 140 120 120 130 140 170 120 165 150 130 135 140

Problem 22E Graphing Data Sets In Exercise, organize the data using the indicated type of graph. Describe any patterns. Super Bowl Use a stem-and-leaf plot that has two rows for each stem to display the data. The data represent the winning scores from Super Bowl I to Super Bowl XLVII. (Source: National Football League)

Problem 24E Graphing Data Sets In Exercise, organize the data using the indicated type of graph. Describe any patterns. Life Spans of Houseflies Use a dot plot to display the data. The data represent the life spans (in days) of 30 houseflies. 9 9 4 11 10 5 13 9 7 11 6 8 14 10 6 10 10 7 14 11 7 8 6 13 10 14 14 8 13 10

Problem 26E Graphing Data Sets In Exercise, organize the data using the indicated type of graph. Describe any patterns. New York City Marathon Use a pie chart to display the data. The data represent the number of men’s New York City Marathon winners from each country through 2012. (Source: New York Road Runners) United States 15 Tanzania 1 Great Britain 1 Italy 4 Kenya 9 Brazil 2 Ethiopia 2 Mexico 4 New Zealand 1 South Africa 2 Morocco 1

Problem 25E Graphing Data Sets In Exercise, organize the data using the indicated type of graph. Describe any patterns. Investments Use a pie chart to display the data. The data represent the results of an online survey that asked adults how they will invest their money in 2013. (Adapted from CNN) Invest more in stocks 562 Hold on to more cash 288 Invest more in bonds 144 Invest the same as last year 461

Problem 28E Graphing Data Sets In Exercise, organize the data using the indicated type of graph. Describe any patterns. Medication Errors Use a Pareto chart to display the data. The data represent the numbers of times medication-dispensing errors were detected during a 2-month study. (Source: PubMed Central) Unauthorized drug 27 Omission 54 Incorrect form of drug 2 Incorrect time 37 Improper dose 57 Deteriorated drug 2

Problem 30E Graphing Data Sets In Exercise, organize the data using the indicated type of graph. Describe any patterns. Salaries Use a scatter plot to display the data shown in the table at the left. The data represent the numbers of students per teacher and the average teacher salaries (in thousands of dollars) of 10 school districts. Number of students per teacher Average teacher’s salary 17.1 17.5 18.9 17.1 20.0 18.6 14.4 16.5 13.3 18.4 28.7 47.5 31.8 28.1 40.3 33.8 49.8 37.5 42.5 31.9

Problem 27E Graphing Data Sets In Exercise, organize the data using the indicated type of graph. Describe any patterns. Olympics Use a Pareto chart to display the data. The data represent the medal counts for five countries at the 2012 Summer Olympics. (Source: ESPN) Germany Great Britain United States Russia China 44 65 104 82 88

Problem 29E Graphing Data Sets In Exercise, organize the data using the indicated type of graph. Describe any patterns. Hourly Wages Use a scatter plot to display the data shown in the table at the left. The data represent the numbers of hours worked and the hourly wages (in dollars) of 12 production workers. Hours Hourly wage 33 37 34 40 35 33 40 33 28 45 37 28 12.16 9.98 10.79 11.71 11.80 11.51 13.65 12.05 10.54 10.33 11.57 10.17

Problem 32E Graphing Data Sets In Exercise, organize the data using the indicated type of graph. Describe any patterns. Manufacturing Use a time series chart to display the data shown in the table. The table represents the percentages of the U.S. gross domestic product (GDP) that come from the manufacturing sector. (Source: U.S. Bureau of Economic Analysis) Year 2000 2001 2002 2003 2004 2005 Percent 14.2% 13.1% 12.7% 12.3% 12.5% 12.4% Year 2006 2007 2008 2009 2010 2011 Percent 12.3% 12.1% 11.4% 11.0% 11.2% 11.5%

Camcorders Display the data below in a dot plot. Describe the differences in how the stem-and-leaf plot and the dot plot show patterns in the data. Camcorder Screen Sizes (in inches)

Basketball Display the data below in a stem-and-leaf plot. Describe the differences in how the dot plot and the stem-and-leaf plot show patterns in the data. (Source: ESPN) Heights of the 2012–2013 Sacramento Kings

Favorite Season Display the data below in a Pareto chart. Describe the differences in how the pie chart and the Pareto chart show patterns in the data. (Source: Gallup) Favorite Season of U.S. Adults Ages 18 to 29 Equation Transcription: Text Transcription: 18% 24% 37% 21%

Favorite Day of the Week Display the data below in a pie chart. Describe the differences in how the Pareto chart and the pie chart show patterns in the data. Favorite Day of the Week

Problem 31E Graphing Data Sets In Exercise, organize the data using the indicated type of graph. Describe any patterns. Motorcycle Registrations Use a time series chart to display the data shown in the table. The table represents the numbers of motorcycles (in millions) registered in the U.S. (Source: U.S. Federal Highway Administration) Year 2000 2001 2002 2003 2004 2005 Registrations 4.3 4.9 5.0 5.4 5.8 6.2 Year 2006 2007 2008 2009 2010 2011 Registrations 6.7 7.1 7.8 7.9 8.2 8.3

A Misleading Graph? A misleading graph is a statistical graph that is not drawn appropriately. This type of graph can misrepresent data and lead to false conclusions. In Exercises 37– 40, (a) explain why the graph is misleading, and (b) redraw the graph so that it is not misleading. Sales for Company A

A Misleading Graph? A misleading graph is a statistical graph that is not drawn appropriately. This type of graph can misrepresent data and lead to false conclusions. In Exercises 37– 40, (a) explain why the graph is misleading, and (b) redraw the graph so that it is not misleading. Results of a Survey

A Misleading Graph? A misleading graph is a statistical graph that is not drawn appropriately. This type of graph can misrepresent data and lead to false conclusions. In Exercises 37– 40, (a) explain why the graph is misleading, and (b) redraw the graph so that it is not misleading. Sales for Company B Equation Transcription: Text Transcription: 20% 38% 38% 4%

A Misleading Graph? A misleading graph is a statistical graph that is not drawn appropriately. This type of graph can misrepresent data and lead to false conclusions. In Exercises 37– 40, (a) explain why the graph is misleading, and (b) redraw the graph so that it is not misleading. U.S. Crude Oil Imports by Country of Origin 2012 (Source: U.S. Energy Information Administration)

Law Firm Salaries A back-to-back stem-and-leaf plot compares two data sets by using the same stems for each data set. Leaves for the first data set are on one side while leaves for the second data set are on the other side. The back-to-back stem-and-leaf plot at the left shows the salaries (in thousands of dollars) of all lawyers at two small law firms. (a) What are the lowest and highest salaries at Law Firm A? at Law Firm B? (b) How many lawyers are in each firm? (c) Compare the distribution of salaries at each law firm. What do you notice?

Name some ways to display quantitative data graphically. Name some ways to display qualitative data graphically

What is an advantage of using a stem-and-leaf plot instead of a histogram? What is a disadvantage?

In terms of displaying data, how is a stem-and-leaf plot similar to a dot plot?

How is a Pareto chart different from a standard vertical bar graph?

Putting Graphs in Context In Exercises 5 8, match the plot with the description of the sample. (a) Times (in minutes) it takes a sample of employees to drive to work (b) Grade point averages of a sample of students with finance majors (c) Top speeds (in miles per hour) of a sample of high-performance sports cars (d) Ages (in years) of a sample of residents of a retirement home 0 8 Key: 0 0 8 = 0.8 1 5 6 8 2 1 3 4 5 3 0 9 4 0 0

Putting Graphs in Context In Exercises 5 8, match the plot with the description of the sample. (a) Times (in minutes) it takes a sample of employees to drive to work (b) Grade point averages of a sample of students with finance majors (c) Top speeds (in miles per hour) of a sample of high-performance sports cars (d) Ages (in years) of a sample of residents of a retirement home 0 8 Key: 0 0 8 = 0.8 1 5 6 8 2 1 3 4 5 3 0 9 4 0 0

Putting Graphs in Context In Exercises 5 8, match the plot with the description of the sample. (a) Times (in minutes) it takes a sample of employees to drive to work (b) Grade point averages of a sample of students with finance majors (c) Top speeds (in miles per hour) of a sample of high-performance sports cars (d) Ages (in years) of a sample of residents of a retirement home

Putting Graphs in Context In Exercises 5 8, match the plot with the description of the sample. (a) Times (in minutes) it takes a sample of employees to drive to work (b) Grade point averages of a sample of students with finance majors (c) Top speeds (in miles per hour) of a sample of high-performance sports cars (d) Ages (in years) of a sample of residents of a retirement home

Graphical Analysis In Exercises 912, use the stem-and-leaf plot or dot plot to list the actual data entries. What is the maximum data entry? What is the minimum data entry?2 7 Key: 2 0 7 = 27 3 2 4 1 3 3 4 7 7 8 5 0 1 1 2 3 3 3 4 4 4 4 5 6 6 8 9 6 8 8 8 7 3 8 8 8 5

Graphical Analysis In Exercises 912, use the stem-and-leaf plot or dot plot to list the actual data entries. What is the maximum data entry? What is the minimum data entry?. 12 Key: 12 0 9 = 12.9 12 9 13 3 13 6 7 7 14 1 1 1 1 3 4 4 14 6 9 9 15 0 0 0 1 2 4 15 6 7 8 8 8 9 16 1 16 6 7

Graphical Analysis In Exercises 912, use the stem-and-leaf plot or dot plot to list the actual data entries. What is the maximum data entry? What is the minimum data entry?13 14 15 16 17 18 19

Graphical Analysis In Exercises 912, use the stem-and-leaf plot or dot plot to list the actual data entries. What is the maximum data entry? What is the minimum data entry?215 220 225 230 235

Graphical Analysis In Exercises 13 16, give three observations that can be made from the graph.Average Time Spent on 5 Social Networking Sites per Visitor for One Month

Graphical Analysis In Exercises 13 16, give three observations that can be made from the graph.Motor Vehicle Thefts in U.S.

Graphical Analysis In Exercises 13 16, give three observations that can be made from the graph.How Other Drivers Irk Us

Graphical Analysis In Exercises 13 16, give three observations that can be made from the graph.Amount Spent on Pet Care

Graphing Data Sets In Exercises 1732 organize the data using the indicated type of graph. Describe any pattern Exam Scores Use a stem-and-leaf plot to display the data. The data represent the scores of a biology class on a midterm exam. 75 85 90 80 87 67 82 88 95 91 73 80 83 92 94 68 75 91 79 95 87 76 91 85

Graphing Data Sets In Exercises 1732 organize the data using the indicated type of graph. Describe any pattern Nursing Use a stem-and-leaf plot to display the data. The data represent the numbers of hours 24 nurses work per week. 40 40 35 48 38 40 36 50 32 36 40 35 30 24 40 36 40 36 40 39 33 40 32 38

Graphing Data Sets In Exercises 1732 organize the data using the indicated type of graph. Describe any pattern Ice Thickness Use a stem-and-leaf plot to display the data. The data represent the thicknesses (in centimeters) of ice measured at 20 different locations on a frozen lake. 5.8 6.4 6.9 7.2 5.1 4.9 4.3 5.8 7.0 6.8 8.1 7.5 7.2 6.9 5.8 7.2 8.0 7.0 6.9 5.9

Graphing Data Sets In Exercises 1732 organize the data using the indicated type of graph. Describe any patternApple Prices Use a stem-and-leaf plot to display the data shown in the table at the left. The data represent the prices (in cents per pound) paid to 28 farmers for apples.

Graphing Data Sets In Exercises 1732 organize the data using the indicated type of graph. Describe any pattern Highest-Paid CEOs Use a stem-and-leaf plot that has two rows for each stem to display the data. The data represent the ages of the top 30 highest-paid CEOs. (Source: Forbes) 53 72 55 67 59 57 55 59 61 60 59 56 63 58 58 52 61 65 61 50 65 59 58 66 57 64 58 59 66 56

Graphing Data Sets In Exercises 1732 organize the data using the indicated type of graph. Describe any pattern Super Bowl Use a stem-and-leaf plot that has two rows for each stem to display the data. The data represent the winning scores from Super Bowl I to Super Bowl XLVII. (Source: National Football League) 35 33 16 23 16 24 14 24 16 21 32 27 35 31 27 26 27 38 38 46 39 42 20 55 20 37 52 30 49 27 35 31 34 23 34 20 48 32 24 21 29 17 27 31 31 21 34

Graphing Data Sets In Exercises 1732 organize the data using the indicated type of graph. Describe any pattern Systolic Blood Pressures Use a dot plot to display the data. The data represent the systolic blood pressures (in millimeters of mercury) of 30 patients at a doctors office. 120 135 140 145 130 150 120 170 145 125 130 110 160 180 200 150 200 135 140 120 120 130 140 170 120 165 150 130 135 140

Graphing Data Sets In Exercises 1732 organize the data using the indicated type of graph. Describe any pattern Life Spans of Houseflies Use a dot plot to display the data. The data represent the life spans (in days) of 30 houseflies. 9 9 4 11 10 5 13 9 7 11 6 8 14 10 6 10 10 7 14 11 7 8 6 13 10 14 14 8 13 10

Graphing Data Sets In Exercises 1732 organize the data using the indicated type of graph. Describe any pattern Investments Use a pie chart to display the data. The data represent the results of an online survey that asked adults how they will invest their money in 2013. (Adapted from CNN) Invest more in stocks 562 Hold on to more cash 288 Invest more in bonds 144 Invest the same as last year 461

Graphing Data Sets In Exercises 1732 organize the data using the indicated type of graph. Describe any pattern New York City Marathon Use a pie chart to display the data. The data represent the number of mens New York City Marathon winners from each country through 2012. (Source: New York Road Runners) United States 15 Tanzania 1 Great Britain 1 Italy 4 Kenya 9 Brazil 2 Ethiopia 2 Mexico 4 New Zealand 1 South Africa 2 Morocco 1

Graphing Data Sets In Exercises 1732 organize the data using the indicated type of graph. Describe any pattern Olympics Use a Pareto chart to display the data. The data represent the medal counts for five countries at the 2012 Summer Olympics. (Source: ESPN) Germany Great Britain United States Russia China 44 65 104 82 88

Graphing Data Sets In Exercises 1732 organize the data using the indicated type of graph. Describe any pattern Medication Errors Use a Pareto chart to display the data. The data represent the numbers of times medication-dispensing errors were detected during a 2-month study. (Source: PubMed Central) Unauthorized drug 27 Omission 54 Incorrect form of drug 2 Incorrect time 37 Improper dose 57 Deteriorated drug 2

Graphing Data Sets In Exercises 1732 organize the data using the indicated type of graph. Describe any pattern Hourly Wages Use a scatter plot to display the data shown in the table at the left. The data represent the numbers of hours worked and the hourly wages (in dollars) of 12 production workers.

Graphing Data Sets In Exercises 1732 organize the data using the indicated type of graph. Describe any pattern Salaries Use a scatter plot to display the data shown in the table at the left. The data represent the numbers of students per teacher and the average teacher salaries (in thousands of dollars) of 10 school districts.

Graphing Data Sets In Exercises 1732 organize the data using the indicated type of graph. Describe any patternMotorcycle Registrations Use a time series chart to display the data shown in the table. The table represents the numbers of motorcycles (in millions) registered in the U.S. (Source: U.S. Federal Highway Administration) Year 2000 2001 2002 2003 2004 2005 Registrations 4.3 4.9 5.0 5.4 5.8 6.2 Year 2006 2007 2008 2009 2010 2011 Registrations 6.7 7.1 7.8 7.9 8.2 8.3

Graphing Data Sets In Exercises 1732 organize the data using the indicated type of graph. Describe any pattern Manufacturing Use a time series chart to display the data shown in the table. The table represents the percentages of the U.S. gross domestic product (GDP) that come from the manufacturing sector. (Source: U.S. Bureau of Economic Analysis) Year 2000 2001 2002 2003 2004 2005 Percent 14.2% 13.1% 12.7% 12.3% 12.5% 12.4% Year 2006 2007 2008 2009 2010 2011 Percent 12.3% 12.1% 11.4% 11.0% 11.2% 11.5%

. Camcorders Display the data below in a dot plot. Describe the differences in how the stem-and-leaf plot and the dot plot show patterns in the data. Camcorder Screen Sizes (in inches) 1 Key: 1 0 8 = 1.8 1 8 2 0 2 5 5 7 7 7 7 7 7 7 7 7 3 0 0 0 0 0 2 2 3

Basketball Display the data below in a stem-and-leaf plot. Describe the differences in how the dot plot and the stem-and-leaf plot show patterns in the data. (Source: ESPN) 70 72 74 76 78 80 82 Heights of the 20122013 Sacramento Kings Inches

. Favorite Season Display the data below in a Pareto chart. Describe the differences in how the pie chart and the Pareto chart show patterns in the data. (Source: Gallup) Spring 24% Fall 21% Summer 37% Winter 18% Favorite Season of U.S. Adults Ages 18 to 29

Favorite Day of the Week Display the data below in a pie chart. Describe the differences in how the Pareto chart and the pie chart show patterns in the data. Number of people 3 6 9 12 15 Fri. Sun. Thu. Day Sat. Wed

A Misleading Graph? A misleading graph is a statistical graph that is not drawn appropriately. This type of graph can misrepresent data and lead to false conclusions. In Exercises 37 40, (a) explain why the graph is misleading, and (b) redraw the graph so that it is not misleading. Sales for Company A 4

A Misleading Graph? A misleading graph is a statistical graph that is not drawn appropriately. This type of graph can misrepresent data and lead to false conclusions. In Exercises 37 40, (a) explain why the graph is misleading, and (b) redraw the graph so that it is not misleading.Results of a Survey

A Misleading Graph? A misleading graph is a statistical graph that is not drawn appropriately. This type of graph can misrepresent data and lead to false conclusions. In Exercises 37 40, (a) explain why the graph is misleading, and (b) redraw the graph so that it is not misleading.Sales for Company B

A Misleading Graph? A misleading graph is a statistical graph that is not drawn appropriately. This type of graph can misrepresent data and lead to false conclusions. In Exercises 37 40, (a) explain why the graph is misleading, and (b) redraw the graph so that it is not misleading.U.S. Crude Oil Imports by Country of Origin 2012

Law Firm Salaries A back-to-back stem-and-leaf plot compares two data sets by using the same stems for each data set. Leaves for the first data set are on one side while leaves for the second data set are on the other side. The back-to-back stem-and-leaf plot at the left shows the salaries (in thousands of dollars) of all lawyers at two small law firms. (a) What are the lowest and highest salaries at Law Firm A? at Law Firm B? (b) How many lawyers are in each firm? (c) Compare the distribution of salaries at each law firm. What do you notice?

Yoga Classes The data sets show the ages of all participants in two yoga classes. 3:00 p.m. Class 8:00 p.m. Class 40 60 73 77 51 68 19 18 20 29 39 43 68 35 68 53 64 75 71 56 44 44 18 19 76 69 59 55 38 57 19 18 18 20 25 29 68 84 75 62 73 75 25 22 31 24 24 23 85 77 19 19 18 28 20 31 (a) Make a back-to-back stem-and-leaf plot to display the data. (b) What are the lowest and highest ages of participants in the 3:00 p.m. class? in the 8:00 p.m. class? (c) How many participants are in each class? (d) Compare the distribution of ages in each class. What observation(s) can you make? 66 C HAPTER 2 DESCRIPTIVE STATISTICS Law Firm A Law Firm B 5 0 9 0 3 8 5 2 2 2 10 5 7 9 9 7 0 0 11 0 0 5 1 1 12 0 3 3 5 13 2 2 5 9 14 1 3 3 3 9 15 5 5 5 6 16 4 9 9 9 9 5 1 0 17 1 2 5 5 5 5 2 1 18 9 9 9 8 7 5 19 0 3 20 Key: 5 0 19 0 0 = $195,000 for Law Firm A and $190,000 for Law Firm B FIGURE FOR EXERCISE 41 S E C T I O N 2 . 3 MEASURES OF CENTRAL TENDENCY