Graphical Representation of Qualitative Data

Bar Charts

  • Bar charts are a graphical display where the length of each bar represents the number of observations in each category.
  • Guidelines for constructing bar charts:
    • Can be constructed horizontally or vertically.
    • Categories should maintain their order.
    • The axis scale should enable effective comparison.
    • Bars should not be too close or too far apart.
    • Bar width should be consistent and visually appealing.
    • Space between bars should be about half the bar width.
    • Gridlines are optional but can be helpful.
    • Labels should be provided on each bar and axis.
  • Example: Survey of 1250 adults regarding public schools.
    • Responses:
      • Excellent: 462
      • Pretty good: 288
      • Only fair: 225
      • Poor: 225
      • Not sure: 50

Pie Charts

  • Pie charts display categorical data as slices of a circle.
  • The size of each slice is proportional to the frequency of the category.
  • Most meaningful with 10 or fewer categories; less informative with too many categories.
  • Example: Representing the survey data from the bar chart example using a pie chart.
    • Categories represented as proportional slices:
      • Excellent: 37%
      • Pretty good: 23%
      • Only fair: 18%
      • Poor: 18%
      • Not sure: 4%