2-1_2-2_dispay_qual_quan

2-1_2-2_dispay_qual_quan - Lecture Unit 2 Graphical and...

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Lecture Unit 2 Graphical and Numerical Summaries of Data 1) Construct graphs that appropriately describe data 2) Calculate and interpret numerical summaries of a data set. 3) Combine numerical methods with graphical methods to analyze a data set. 4) Apply graphical methods of summarizing data to choose appropriate numerical summaries. 5) Apply software and/or calculators to automate graphical and numerical summary procedures.
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Displaying Qualitative Data Section 2.1 “Sometimes you can see a lot just by looking.” Yogi Berra Hall of Fame Catcher, NY Yankees
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The three rules of data analysis won’t be difficult to remember 1. Make a picture —reveals aspects not obvious in the raw data; enables you to think clearly about the patterns and relationships that may be hiding in your data. 2. Make a picture —to show important features of and patterns in the data. You may also see things that you did not expect: the extraordinary (possibly wrong) data values or unexpected patterns 3. Make a picture —the best way to tell others about your data is with a well-chosen picture.
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Bar Charts: show counts or relative frequency for each category Example: Titanic passenger/crew distribution Titanic Passengers by Class 885 325 285 706 0.00 100.00 200.00 300.00 400.00 500.00 600.00 700.00 800.00 900.00 1000.00 Crew First Second Third
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Pie Charts: shows proportions of the whole in each category Example: Titanic passenger/crew distribution Titanic Passengers by Class Crew 40% First 15% Second 13% Third 32%
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Unnecessary dimension in a pie chart * * Institute of Useless Information
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Contingency Tables: Categories for Two Variables Example: Survival and class on the Titanic Crew First Second Third Total Alive 212 202 118 178 710 Dead 673 123 167 528 1491 Total 885 325 285 706 2201 Marginal distributions marg. dist. of survival 710/2201 32.3% 1491/2201 67.7% marg. dist. of class 885/2201 40.2% 325/2201 14.8% 285/2201 12.9% 706/2201 32.1%
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Contingency Tables: Categories for Two Variables (cont.) Conditional distributions. Given the class of a passenger, what is the chance the passenger survived? Class
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2-1_2-2_dispay_qual_quan - Lecture Unit 2 Graphical and...

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