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Charts and Graphs
 Guilford County SciVis
        V105.01
Types of Charts and Their Uses
   Why create charts?
    1.   Present the data in a
         visual method
    2.   Prevent distorting data      Greensboro Age
    3.   Present many numbers in a    Distribution 2000
         single unit.
    4.   Make large data sets easy
         to understand
    5.   Encourage the eye to
         compare different pieces
         of data
    6.   Reveal the data at several
         levels of detail, from a
         broad overview to the fine
         structure
Bar Chart
1.   Used for comparing items that are not dependent on
     each other-also comparisons between unrelated variables.
2.   Other names: bar chart, column
     graph, histogram, horizontal bar chart, stacked bar chart
3.   Bar graphs are a family of charts that display
     quantitative information by means of a series of vertical
     rectangles.
Bar Chart
4 Bar Charts are frequently used to
   compare multiple entities or to show
   how one or more entireties vary
   over time.
5. Each bar or column represents a data
   element, and a complete set of columns makes up
   a data set.
6. Bar graphs generally have one linear scale on the
   vertical axis, and a category or sequence scale
   (such as a time scale) along the horizontal axis.
   These charts are useful when trying to compare a
   number of discrete sets or categories against
   each other.
Bar Chart
7. A bar chart is a column chart on its side; this is
   usually employed when there are fewer categories
   and when the differences between categories are
   larger.
8. For a column chart, the x-axis lists the different
   categories, and the height of each category's column
   (with respect to the y-axis) shows the value.
Bar Chart

 Column
  Chart


Bar Chart
Stacked Column Chart
9. A type of bar chart, the       Greensboro
   stacked column chart,
   shows several sets of
   related data adding up to
   a whole with their
   columns stacked on
   top of each other.
        a. The net result of
           this stacking should
           demonstrate some
           total value.
Stacked Column Chart
 b. Stacking and grouping
     bars can also serve
     to show relationships
     between data sets,
     helping the user to:
      Compare multiple
       items at various points
       in time;
      Show how
       relationships between
       multiple items change
       with time;
      Look for correlations or
       meaningful relationships
       between multiple data
       sets.
Line (X-Y) Graph
   Used for related
    variables and
    relationships over time.
   Line charts are good for
    showing trends of
    continuous data, usually
    involving time.
   An area chart is a line
    chart with the area
    between the line and the
    x-axis is shaded.
Line (X-Y) Graph




 Line Graph

               Area Chart
Pie Chart
Used for showing parts of a
   whole or percentages.
1. Pie graphs compare the
   components of a set to each
   other and to the whole.
2. Pie graphs are a member of
   an entire family of
   proportional graphs.
Pie Chart
3. The angle of the area of each
   slice (sometimes called a
   segment or wedge) is the
   same percent of the total circle
   as the data it represents.
4. Pie graph data may be
   contiguous or simultaneous in
   time and may be linked more
   by meaning than by physical
   proximity or sequence.
Scatter Plot Graph
   Used to get a visual
    representation of the
    relationship or
    correlation between two
    variables using the x-y
    graph method of
    plotting.
   Usually the lines
    connecting the data
    points are not
    connected.
Histograms
   Histograms are bar charts
    that display frequencies
    or relative frequencies in
    the form of contiguous
    (touching) bars.
   Histograms can be used to
    see the shape of the
    distribution and to
    determine whether the
    data are distributed
    symmetrically.
Histograms or Bar Charts
1.   Histograms are "sorting boxes." There is one
     variable and data is sorted by this variable by placing
     them into "boxes.”
2.   The number of pieces of data in each box is counted.
     The height of the rectangle drawn on top of each box
     is proportional to the number of pieces in that box.
3.   A bar graph has several measurements of different
     items that are compared.
      The main question a histogram answers is: "How
        many measurements are there in each of the
        classes of measurements?"
      The main question a bar graph answers is: "What
        is the measurement for each item?" Here are some
        examples:
Histogram or Bar Graph
               Situation                         Bar Graph or Histogram?

We want to compare total income of five   Bar graph. Key question: What is the
different people.                         revenue for each person?
We have measured revenues of several      Histogram. Key question: How many
people. We want to compare numbers of     people are in each class of revenues?
people that make from 0 to 10,000; from
10,000 to 20,000; from 20,000 to 30,000
and so on.

We want to compare heights of ten         Bar graph. Key question: What is the
basketball players on a team.             height of each player?
We have measured several players. We      Histogram. Key question: How many
want to compare numbers of players that   players are there in each class of heights?
are from 5-5.5 feet high; from 5.5-6;
from 6-6.5 and so on.
Parts of a Chart
1.   Axis -- The reference lines in a coordinate system. The
     X-axis is the horizontal reference, and the Y-axis is the
     vertical reference.
2.   Title -- Describes the data the chart is symbolizing.
3.   Legend -- An explanatory list of symbols on a chart
     (needed when you graph multiple data sets).
4.   Labels -- Are needed for linking the chart to the
     information being displayed. If charted data has labels
     in the spreadsheet, the labels should be carried over to
     the chart.
Parts of a Chart
Basic Rules for Creating a Chart
1.   Use graph paper, a spreadsheet program, or
     graphing program such as Excel.
2.   Decide on the correct type of chart or graph.
3.   Determine the largest value number to be
     plotted on each axis and make sure the scale is
     large enough to use at least half of the paper in
     both directions.
Basic Rules for Creating a Chart
4. Plot the independent or control variable on the x-
    axis. The dependent variable is plotted on the y-
    axis.
5. Label the axes and give units to those labels.
6. All graphs should have a title. A good title that
    always works is "y" as a function of "x."
Basic Rules for Creating a Chart
7. Most graphs should start at the origin (x = 0, y =
    0). There are exceptions like graphing temperature.
    If the lowest temperature is 37o C start at 35 o C.
    This is because 0 o C is not the lowest temperature.
8. Number the x- and y-axis with a regular numerical
    sequence or pattern starting with 0 to space out
    your data so it fills the entire graph. Use a ruler for
    straight lines.




    origin
Basic Rules for Creating a Chart
10. If 2 or more lines are plotted on a graph, a key
   or legend is necessary. A different hue or
   symbol should be used for each line.
11. The color of the background of the graph, and
   the lines on the graph should be clearly
   distinguishable from each other.
12. The color of lines on a multi-line graph should
   be distinguishable from each other.


     How many color rules
     are broken in the graph?
General Advice for Creating a Chart
a. Keep graphs simple -- make
    the data do the talking.
    Don’t "liven" up you chart
    with extra colors, 3D, or
    pictures. Interesting data
    captures an audience’s
    attention more than any
    graphic or special printing
    effect could.
b. Use meaningful titles and
    labels - let the audience
    think about what the data
    means, not what the data is
    or could be.
c. Be truthful with the axes -- Do not exchange
   scales or perspectives to gain a falsely perceived
   advantage.
Basic Rules for 3D
   3D may not be a good idea because the
    data may appear distorted, can be
    misinterpreted, or may be misleading.
   A demonstration of problematic 3D
    perspective: the chart on the left
    clearly shows that Clinton edged out
    Dole in Florida.
   When Excel shows this data in 3D
    format, it is impossible to clearly tell if
    anyone won or if it was a tie.

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Displaying data using charts and graphs

  • 1. Charts and Graphs Guilford County SciVis V105.01
  • 2. Types of Charts and Their Uses  Why create charts? 1. Present the data in a visual method 2. Prevent distorting data Greensboro Age 3. Present many numbers in a Distribution 2000 single unit. 4. Make large data sets easy to understand 5. Encourage the eye to compare different pieces of data 6. Reveal the data at several levels of detail, from a broad overview to the fine structure
  • 3. Bar Chart 1. Used for comparing items that are not dependent on each other-also comparisons between unrelated variables. 2. Other names: bar chart, column graph, histogram, horizontal bar chart, stacked bar chart 3. Bar graphs are a family of charts that display quantitative information by means of a series of vertical rectangles.
  • 4. Bar Chart 4 Bar Charts are frequently used to compare multiple entities or to show how one or more entireties vary over time. 5. Each bar or column represents a data element, and a complete set of columns makes up a data set. 6. Bar graphs generally have one linear scale on the vertical axis, and a category or sequence scale (such as a time scale) along the horizontal axis. These charts are useful when trying to compare a number of discrete sets or categories against each other.
  • 5. Bar Chart 7. A bar chart is a column chart on its side; this is usually employed when there are fewer categories and when the differences between categories are larger. 8. For a column chart, the x-axis lists the different categories, and the height of each category's column (with respect to the y-axis) shows the value.
  • 6. Bar Chart Column Chart Bar Chart
  • 7. Stacked Column Chart 9. A type of bar chart, the Greensboro stacked column chart, shows several sets of related data adding up to a whole with their columns stacked on top of each other. a. The net result of this stacking should demonstrate some total value.
  • 8. Stacked Column Chart b. Stacking and grouping bars can also serve to show relationships between data sets, helping the user to:  Compare multiple items at various points in time;  Show how relationships between multiple items change with time;  Look for correlations or meaningful relationships between multiple data sets.
  • 9. Line (X-Y) Graph  Used for related variables and relationships over time.  Line charts are good for showing trends of continuous data, usually involving time.  An area chart is a line chart with the area between the line and the x-axis is shaded.
  • 10. Line (X-Y) Graph Line Graph Area Chart
  • 11. Pie Chart Used for showing parts of a whole or percentages. 1. Pie graphs compare the components of a set to each other and to the whole. 2. Pie graphs are a member of an entire family of proportional graphs.
  • 12. Pie Chart 3. The angle of the area of each slice (sometimes called a segment or wedge) is the same percent of the total circle as the data it represents. 4. Pie graph data may be contiguous or simultaneous in time and may be linked more by meaning than by physical proximity or sequence.
  • 13. Scatter Plot Graph  Used to get a visual representation of the relationship or correlation between two variables using the x-y graph method of plotting.  Usually the lines connecting the data points are not connected.
  • 14. Histograms  Histograms are bar charts that display frequencies or relative frequencies in the form of contiguous (touching) bars.  Histograms can be used to see the shape of the distribution and to determine whether the data are distributed symmetrically.
  • 15. Histograms or Bar Charts 1. Histograms are "sorting boxes." There is one variable and data is sorted by this variable by placing them into "boxes.” 2. The number of pieces of data in each box is counted. The height of the rectangle drawn on top of each box is proportional to the number of pieces in that box. 3. A bar graph has several measurements of different items that are compared.  The main question a histogram answers is: "How many measurements are there in each of the classes of measurements?"  The main question a bar graph answers is: "What is the measurement for each item?" Here are some examples:
  • 16. Histogram or Bar Graph Situation Bar Graph or Histogram? We want to compare total income of five Bar graph. Key question: What is the different people. revenue for each person? We have measured revenues of several Histogram. Key question: How many people. We want to compare numbers of people are in each class of revenues? people that make from 0 to 10,000; from 10,000 to 20,000; from 20,000 to 30,000 and so on. We want to compare heights of ten Bar graph. Key question: What is the basketball players on a team. height of each player? We have measured several players. We Histogram. Key question: How many want to compare numbers of players that players are there in each class of heights? are from 5-5.5 feet high; from 5.5-6; from 6-6.5 and so on.
  • 17. Parts of a Chart 1. Axis -- The reference lines in a coordinate system. The X-axis is the horizontal reference, and the Y-axis is the vertical reference. 2. Title -- Describes the data the chart is symbolizing. 3. Legend -- An explanatory list of symbols on a chart (needed when you graph multiple data sets). 4. Labels -- Are needed for linking the chart to the information being displayed. If charted data has labels in the spreadsheet, the labels should be carried over to the chart.
  • 18. Parts of a Chart
  • 19. Basic Rules for Creating a Chart 1. Use graph paper, a spreadsheet program, or graphing program such as Excel. 2. Decide on the correct type of chart or graph. 3. Determine the largest value number to be plotted on each axis and make sure the scale is large enough to use at least half of the paper in both directions.
  • 20. Basic Rules for Creating a Chart 4. Plot the independent or control variable on the x- axis. The dependent variable is plotted on the y- axis. 5. Label the axes and give units to those labels. 6. All graphs should have a title. A good title that always works is "y" as a function of "x."
  • 21. Basic Rules for Creating a Chart 7. Most graphs should start at the origin (x = 0, y = 0). There are exceptions like graphing temperature. If the lowest temperature is 37o C start at 35 o C. This is because 0 o C is not the lowest temperature. 8. Number the x- and y-axis with a regular numerical sequence or pattern starting with 0 to space out your data so it fills the entire graph. Use a ruler for straight lines. origin
  • 22. Basic Rules for Creating a Chart 10. If 2 or more lines are plotted on a graph, a key or legend is necessary. A different hue or symbol should be used for each line. 11. The color of the background of the graph, and the lines on the graph should be clearly distinguishable from each other. 12. The color of lines on a multi-line graph should be distinguishable from each other. How many color rules are broken in the graph?
  • 23. General Advice for Creating a Chart a. Keep graphs simple -- make the data do the talking. Don’t "liven" up you chart with extra colors, 3D, or pictures. Interesting data captures an audience’s attention more than any graphic or special printing effect could. b. Use meaningful titles and labels - let the audience think about what the data means, not what the data is or could be. c. Be truthful with the axes -- Do not exchange scales or perspectives to gain a falsely perceived advantage.
  • 24. Basic Rules for 3D  3D may not be a good idea because the data may appear distorted, can be misinterpreted, or may be misleading.  A demonstration of problematic 3D perspective: the chart on the left clearly shows that Clinton edged out Dole in Florida.  When Excel shows this data in 3D format, it is impossible to clearly tell if anyone won or if it was a tie.