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# Graphical Representations

Learn about graphical representations, scales of measurement, choosing between tables and graphs, rules for creating effective graphs, and examples for fixing and creating bar and line graphs. Discover how to encode data accurately and clearly.

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## Graphical Representations

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1. Graphical Representations

2. The greatest value of a picture is when it forces us to notice what we never expected to see.John Tukey Statistician The aim of good data graphics is to display data accurately and clearly.Howard WainerResearch Scientist

3. Scales of Measurement • • Nominal: Named categories • - race, gender, religion • • Ordinal: Ordered categories • - race finish, grade level, SES, Likert • • Interval: Equal intervals • - temperature in ºF and ºC • • Ratio: Equal intervals with absolute zero • - height, weight, date/time, scores, income

4. Data Determines Stats and Graphs

5. Choosing the Right Tool for the Job • Use Tables When • • The document will be used to look up individual values. • • The document will be used to compare individual values. • • Precise values are required. • • The quantitative information involves more than one unit of measure. Use Graphs When • The message is contained in the shape of the values. • The document will be used to reveal relationships among multiple values.

6. Which graph makes it easier to determine whether Mid-Cap U.S. Stock or Small-Cap U.S. Stock has the greater share?

7. Which of these line graphs is easier to read?

8. Which of these tables is easier to read?

9. Only one of these graphs accurately encodes the values. The other skews the values in a misleading manner. Which graph presents the data accurately?

10. What is R&D’s travel expense?

11. In which graph are the labels easier to read?

12. Which graph is easier to look at?

13. Rules for Creating Graphs • • Choose the right graph for your data • • Title or caption, label axes, and include units • – Use horizontal text wherever possible • – Title is largest, then labels, then units • • No color, shading/gradients, or 3D • – If you use color, use only one…or if you have to use color make sure it works when printed in monochrome. • • Be consistent from graph to graph • • The less ink, the better—keep it simple.

14. Keeping it Simple: Bar Graph

15. Exam Example 1: Fix the Graph

16. Exam Example 2: Fix the Graph

17. Line Graph: Soaring College Tuition