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Graphs, Charts, and Tables
Chapter Goals ,[object Object],[object Object],[object Object],[object Object],[object Object]
Frequency Distributions ,[object Object],[object Object],[object Object],[object Object]
Why Use Frequency Distributions? ,[object Object],[object Object],[object Object]
Frequency Distribution:  Discrete Data ,[object Object],Example:   An advertiser asks 200 customers how many days per week they read the daily newspaper. Number of days read Frequency 0 44 1 24 2 18 3 16 4 20 5 22 6 26 7 30 Total 200
Relative Frequency ,[object Object],22% of the people in the sample report that they read the newspaper 0 days per week Number of days read Frequency Relative Frequency 0 44 .22 1 24 .12 2 18 .09 3 16 .08 4 20 .10 5 22 .11 6 26 .13 7 30 .15 Total 200 1.00
Frequency Distribution:  Continuous Data ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Grouping Data by Classes ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Frequency Distribution Example Data in ordered array: 12, 13, 17, 21, 24, 24, 26, 27, 27, 30, 32, 35, 37, 38, 41, 43, 44, 46, 53, 58 Class   Frequency 10 but under 20  3  .15  20 but under 30   6  .30  30 but under 40   5  .25  40 but under 50  4  .20  50 but under 60   2  .10  Total   20  1.00   Relative Frequency Frequency Distribution
Histograms ,[object Object],[object Object],[object Object],[object Object]
Histogram Example Class Midpoints Data in ordered array: 12, 13, 17, 21, 24, 24, 26, 27, 27, 30, 32, 35, 37, 38, 41, 43, 44, 46, 53, 58 No gaps between bars, since continuous data
Questions for Grouping Data  into Classes ,[object Object],[object Object],[object Object],[object Object],[object Object]
How Many Class Intervals? ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],(X axis labels are upper class endpoints)
General Guidelines ,[object Object],[object Object],[object Object],[object Object]
Class Width ,[object Object],The minimum class width is Largest Value    Smallest Value Number of Classes W  =
Histograms in Excel ,[object Object],[object Object],1
[object Object],2 3 Input data and bin ranges Select Chart Output Histograms in Excel (continued)
Stem and Leaf Diagram ,[object Object],[object Object]
Example: ,[object Object],Data in ordered array: 12, 13, 17, 21, 24, 24, 26, 27, 27, 30, 32, 35, 37, 38, 41, 43, 44, 46, 53, 58 12 is shown as 35 is shown as Stem  Leaf 1  2 3  5
Example: ,[object Object],Data in ordered array: 12, 13, 17, 21, 24, 24, 26, 27, 27, 30, 32, 35, 37, 38, 41, 43, 44, 46, 53, 58 Stem Leaves 1 2  3  7 2 1  4  4  6  7  8 3 0  2  5  7  8 4 1  3  4  6 5 3  8
Using other stem units ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Stem  Leaf
Graphing Categorical Data Categorical Data Pie Charts Pareto Diagram Bar Charts
Bar and Pie Charts ,[object Object],[object Object]
Pie Chart Example Percentages are rounded to the nearest percent Current Investment Portfolio  Savings  15% CD 14% Bonds 29% Stocks 42% Investment  Amount  Percentage Type   (in thousands $) Stocks  46.5  42.27 Bonds   32.0  29.09 CD   15.5  14.09 Savings  16.0  14.55 Total   110   100 (Variables are Qualitative)
Bar Chart Example
Pareto Diagram Example cumulative % invested  (line graph) % invested in each category (bar graph)
Bar Chart Example Number of days read Frequency 0 44 1 24 2 18 3 16 4 20 5 22 6 26 7 30 Total 200
Tabulating and Graphing  Multivariate Categorical Data ,[object Object],Investment  Investor A  Investor B   Investor C   Total  Category Stocks   46.5   55   27.5   129 Bonds   32.0  44   19.0  95 CD   15.5  20  13.5  49 Savings   16.0   28  7.0  51 Total   110.0   147  67.0   324
Tabulating and Graphing  Multivariate Categorical Data ,[object Object],(continued)
Side-by-Side Chart Example ,[object Object]
[object Object],[object Object],[object Object],[object Object],Line Charts and  Scatter Diagrams
Line Chart Example Year Inflation Rate 1985 3.56 1986 1.86 1987 3.65 1988 4.14 1989 4.82 1990 5.40 1991 4.21 1992 3.01 1993 2.99 1994 2.56 1995 2.83 1996 2.95 1997 2.29 1998 1.56 1999 2.21 2000 3.36 2001 2.85 2002 1.58
Scatter Diagram Example Volume per day Cost per day 23 125 26 140 29 146 33 160 38 167 42 170 50 188 55 195 60 200
Types of Relationships ,[object Object]
[object Object],Types of Relationships (continued)
[object Object],Types of Relationships (continued)

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  • 9. Frequency Distribution Example Data in ordered array: 12, 13, 17, 21, 24, 24, 26, 27, 27, 30, 32, 35, 37, 38, 41, 43, 44, 46, 53, 58 Class Frequency 10 but under 20 3 .15 20 but under 30 6 .30 30 but under 40 5 .25 40 but under 50 4 .20 50 but under 60 2 .10 Total 20 1.00 Relative Frequency Frequency Distribution
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  • 11. Histogram Example Class Midpoints Data in ordered array: 12, 13, 17, 21, 24, 24, 26, 27, 27, 30, 32, 35, 37, 38, 41, 43, 44, 46, 53, 58 No gaps between bars, since continuous data
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  • 22. Graphing Categorical Data Categorical Data Pie Charts Pareto Diagram Bar Charts
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  • 24. Pie Chart Example Percentages are rounded to the nearest percent Current Investment Portfolio Savings 15% CD 14% Bonds 29% Stocks 42% Investment Amount Percentage Type (in thousands $) Stocks 46.5 42.27 Bonds 32.0 29.09 CD 15.5 14.09 Savings 16.0 14.55 Total 110 100 (Variables are Qualitative)
  • 26. Pareto Diagram Example cumulative % invested (line graph) % invested in each category (bar graph)
  • 27. Bar Chart Example Number of days read Frequency 0 44 1 24 2 18 3 16 4 20 5 22 6 26 7 30 Total 200
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  • 32. Line Chart Example Year Inflation Rate 1985 3.56 1986 1.86 1987 3.65 1988 4.14 1989 4.82 1990 5.40 1991 4.21 1992 3.01 1993 2.99 1994 2.56 1995 2.83 1996 2.95 1997 2.29 1998 1.56 1999 2.21 2000 3.36 2001 2.85 2002 1.58
  • 33. Scatter Diagram Example Volume per day Cost per day 23 125 26 140 29 146 33 160 38 167 42 170 50 188 55 195 60 200
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