Displaying Qualitative and Quantitative Data

Displaying Qualitative and Quantitative Data - Lecture Unit...

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Unformatted text preview: Lecture Unit 2 Graphical and Numerical Summaries of Data UNIT OBJECTIVES At the conclusion of this unit you should be able to: 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. Displaying Qualitative Data Section 2.1 Sometimes you can see a lot just by looking. Yogi Berra Hall of Fame Catcher, NY Yankees The three rules of data analysis wont 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. 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 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% Example: Top 10 causes of death in the United States 2001 Rank Causes of death Counts % of top 10s % of total deaths 1 Heart disease 700,142 37% 28% 2 Cancer 553,768 29% 22% 3 Cerebrovascular 163,538 9% 6% 4 Chronic respiratory 123,013 6% 5% 5 Accidents 101,537 5% 4% 6 Diabetes mellitus 71,372 4% 3% 7 Flu and pneumonia 62,034 3% 2% 8 Alzheimers disease 53,852 3% 2% 9 Kidney disorders 39,480 2% 2% 10 Septicemia 32,238 2% 1% All other causes 629,967 25% For each individual who died in the United States in 2001, we record what was the cause of death. The table above is a summary of that information. Top 10 causes of deaths in the United States 2001 Top 10 causes of death: bar graph Each category is represented by one bar. The bars height shows the count (or sometimes the percentage) for that particular category. The number of individuals who died of an accident in 2001 is approximately 100,000. 100 200 300 400 500 600 700 800 H e a r t d i s e a s e s C a n c e r s C e r e b r o v a s c u l a r C h r o n i c r e s p i r a t o r y A c c i d e n t s D i a b e t e s m e l l i t u s F l u & p n e u m o n i a A l z h e i m e r ' s d i s e a s e K i d n e y d i s o r d e r s S e p t i c e m i a Counts (x1000) Bar graph sorted by rank Easy to analyze Top 10 causes of deaths in the United States 2001 100 200 300 400 500 600 700 800 A c c i d e n t s...
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Displaying Qualitative and Quantitative Data - Lecture Unit...

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