1. 3.1 Displays of Categorical Data

2. A graph or frequency table describes a distribution. A distribution tells us the possible values a variable takes as well as the occurrence of those values (frequency or relative frequency). It’s basically a list of all the things that COULD happen, and also the LIKELIHOOD that each will actually happen. Ex: Rain: 5%, No Rain: 95% Distribution

3. Pie Chart: A circle having a “slice of pie” for each category. Each wedge has a central angle that is found by multiplying the percent or proportion for that category by 360 degrees. Useful when the data adds up to a whole (100%), like an annual budget. visuals for Categorical Variable

4. Bar Graph: A graph that displays a bar for each category.  Easier to compare categories with a bar graph rather than with a pie chart.  Alphabetical Charts- charts order data alphabetically  Pareto Charts when the categories are ordered by their frequency, from the tallest bar to the shortest bar. Useful when our focus is the few most frequent categories

5. 3.2 More Visuals and Contingency Tables

6. Let’s reorganize our data to see what’s happening here… Take the data from the graph and write it in the table shown: Questions: How many males chose weightlifting? How many females did not choose aerobics? What proportion of the females chose aerobics? What proportion of the subjects were female AND chose squash? AerobicsSquashWeights Male Female

7. Let’s reorganize our data to see what’s happening here… Take the data from the graph and write it in the table shown: Questions: How many males chose weightlifting? How many females did not choose aerobics? What proportion of the females chose aerobics? What proportion of the subjects were female AND chose squash? AerobicsSquashWeights Male 552766 Female1853519

8. Let’s reorganize our data to see what’s happening here… Take the data from the graph and write it in the table shown: Questions: How many males chose weightlifting? 66 How many females did not choose aerobics? 35+19=54 What proportion of the females chose aerobics? What proportion of the subjects were female AND chose squash? AerobicsSquashWeights Male 552766 Female1853519

9. Let’s reorganize our data to see what’s happening here… Take the data from the graph and write it in the table shown: Questions: How many males chose weightlifting? 66 How many females did not choose aerobics? 35+19=54 What proportion of the females chose aerobics? What proportion of the subjects were female AND chose squash? 185/(185+35+19)=0.77 or 77% 35/(total of all)=35/387=0.09 or 9% AerobicsSquashWeights Male 552766 Female1853519

10. REMEMBER: Survey questions are DUE TODAY for our project. You must turn in the paper copy in class, and ALSO type your questions into the google.doc. I will check the google.doc at 2:30 to see which groups are done by the deadline, and also to make comments. Please check the document before Tuesday to make any edits that are recommended. Have a good weekend! See you Tuesday!