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Section 2.2 More Graphs and Displays Larson/Farber 4th ed.
Graphing Quantitative Data Sets ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Graphing Quantitative Data Sets Larson/Farber 4th ed. Data: 21, 25, 25,  26 , 27, 28,    30, 36, 36, 45 Example of a stem-and-leaf plot: Note:  the leaf should always  be a single digit. 26 2 1  5  5  6  7  8 3 0  6  6  4 5
Constructing a Stem-and-Leaf Plot Larson/Farber 4th ed. ,[object Object],[object Object],[object Object],[object Object],[object Object]
Example1: Constructing a Stem-and-Leaf Plot ,[object Object],Larson/Farber 4th ed. 155  159  144  129  105  145  126  116  130  114  122  112  126 118  118  108  122  121  109  140  126  119  113  117  118  119 139  139  122  78  133  126  123  145  121  134  124  119  124 129  112  126  148  147  112  109  132  142  109  133
Solution: Constructing a Stem-and-Leaf Plot Larson/Farber 4th ed. From the stem-and-leaf plot you can conclude that more than 50% of the RBI leaders had between 110 and 130 RBIs
Example2: Constructing Variations of Stem-and-Leaf Plots ,[object Object],Larson/Farber 4th ed. 155  159  144  129  105  145  126  116  130  114  122  112  126 118  118  108  122  121  109  140  126  119  113  117  118  119 139  139  122  78  133  126  123  145  121  134  124  119  124 129  112  126  148  147  112  109  132  142  109  133  ,[object Object],[object Object]
Solution: Constructing a Stem-and-Leaf Plot From the display, you can conclude that most of the RBO leaders had between 105 and 135 RBIs
Constructing Variations of Stem-and-Leaf Plots ,[object Object],[object Object]
Graphing Quantitative Data Sets ,[object Object],[object Object],[object Object]
Graphing Quantitative Data Sets Data: 21, 25, 25,  26 , 27, 28, 30, 36, 36, 45 26 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 Example of a dot plot:
Constructing a Dot Plot ,[object Object],[object Object],[object Object]
Example3: Constructing a Dot Plot ,[object Object],155  159  144  129  105  145  126  116  130  114  122  112  126 118  118  108  122  121  109  140  126  119  113  117  118  119 139  139  122  78  133  126  123  145  121  134  124  119  124 129  112  126  148  147  112  109  132  142  109  133
Solution: Constructing a Dot Plot From the dot plot, you can see that the most values cluster between 105 and 148 and 126 is the value that occurs the most.
Graphing Qualitative Data Sets ,[object Object],[object Object],[object Object],[object Object]
Constructing a Pie Chart ,[object Object],[object Object],[object Object],[object Object]
Example: Constructing a Pie Chart ,[object Object],Larson/Farber 4th ed. Vehicle type Killed Cars 18,440 Trucks 13,778 Motorcycles 4,553 Other 823
Solution: Constructing a Pie Chart Larson/Farber 4th ed. From the pie chart, you can see that most fatalities in motor vehicle crashes were those involving the occupants of cars. Vehicle type Relative frequency Central angle Cars 0.49 176º Trucks 0.37 133º Motorcycles 0.12 43º Other 0.02 7º
Break
Graphing Qualitative Data Sets ,[object Object],[object Object],Categories Frequency
Example: Constructing a Pareto Chart ,[object Object],[object Object],Larson/Farber 4th ed.
Solution: Constructing a Pareto Chart Larson/Farber 4th ed. From the graph, it is easy to see that the causes of inventory shrinkage that should be addressed first are employee theft and shoplifting. Cause $ (million) Admin. error 7.8 Employee theft 15.6 Shoplifting 14.7 Vendor fraud 2.9
Paired Data Sets ,[object Object],[object Object]
Graphing Paired Data Sets ,[object Object],[object Object],[object Object],x y
Constructing a Scatter Plot ,[object Object],[object Object],[object Object]
Example: Interpreting a Scatter Plot ,[object Object],Larson/Farber 4th ed.
Example: Interpreting a Scatter Plot ,[object Object],Larson/Farber 4th ed. Each point in the scatter plot represents the petal length and petal width of one flower.
Solution: Interpreting a Scatter Plot Larson/Farber 4th ed. Interpretation  From the scatter plot, you can see that as the petal length increases, the petal width also tends to increase.
Graphing Paired Data Sets ,[object Object],[object Object],[object Object],Larson/Farber 4th ed. time Quantitative data
Constructing a Time Series Chart ,[object Object],[object Object],[object Object]
Example: Constructing a Time Series Chart ,[object Object],Larson/Farber 4th ed.
Solution: Constructing a Time Series Chart ,[object Object],[object Object],Larson/Farber 4th ed.
Solution: Constructing a Time Series Chart Larson/Farber 4th ed. The graph shows that the number of subscribers has been increasing since 1995, with greater increases recently.
Homework ,[object Object]

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Constructing Graphs and Displays of Quantitative and Qualitative Data

  • 1. Section 2.2 More Graphs and Displays Larson/Farber 4th ed.
  • 2.
  • 3. Graphing Quantitative Data Sets Larson/Farber 4th ed. Data: 21, 25, 25, 26 , 27, 28, 30, 36, 36, 45 Example of a stem-and-leaf plot: Note: the leaf should always be a single digit. 26 2 1 5 5 6 7 8 3 0 6 6 4 5
  • 4.
  • 5.
  • 6. Solution: Constructing a Stem-and-Leaf Plot Larson/Farber 4th ed. From the stem-and-leaf plot you can conclude that more than 50% of the RBI leaders had between 110 and 130 RBIs
  • 7.
  • 8. Solution: Constructing a Stem-and-Leaf Plot From the display, you can conclude that most of the RBO leaders had between 105 and 135 RBIs
  • 9.
  • 10.
  • 11. Graphing Quantitative Data Sets Data: 21, 25, 25, 26 , 27, 28, 30, 36, 36, 45 26 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 Example of a dot plot:
  • 12.
  • 13.
  • 14. Solution: Constructing a Dot Plot From the dot plot, you can see that the most values cluster between 105 and 148 and 126 is the value that occurs the most.
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  • 18. Solution: Constructing a Pie Chart Larson/Farber 4th ed. From the pie chart, you can see that most fatalities in motor vehicle crashes were those involving the occupants of cars. Vehicle type Relative frequency Central angle Cars 0.49 176º Trucks 0.37 133º Motorcycles 0.12 43º Other 0.02 7º
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  • 22. Solution: Constructing a Pareto Chart Larson/Farber 4th ed. From the graph, it is easy to see that the causes of inventory shrinkage that should be addressed first are employee theft and shoplifting. Cause $ (million) Admin. error 7.8 Employee theft 15.6 Shoplifting 14.7 Vendor fraud 2.9
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  • 28. Solution: Interpreting a Scatter Plot Larson/Farber 4th ed. Interpretation From the scatter plot, you can see that as the petal length increases, the petal width also tends to increase.
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  • 33. Solution: Constructing a Time Series Chart Larson/Farber 4th ed. The graph shows that the number of subscribers has been increasing since 1995, with greater increases recently.
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Notas del editor

  1. A complete discussion of types of correlation occurs in chapter 9. You may want, however, to discuss positive correlation, negative correlation, and no correlation at this point. Be sure that students do not confuse correlation with causation.