1. GRAPH EXPLORE CATEGORICAL DATA

2. TRY THIS: Do the following summarize a categorical variable or a numerical variable? For a tennis player, the average speed of a first- serve during one match. For a volleyball player, the percentage of successful serves during one game. For a NASCAR driver, the amount of time per lap in a race. Numerical Categorical Numerical

3. STATISTICAL STUDY 1. Hypothesis 2. Collect Data 3. Analyze Data 4. Conclusion The 4 steps to a statistical study Today we will work with categorical data. We will then displaying data. 3. Analyze Data Therefore, displaying data is the first part of which step of a statistical study?

4. LEBRON JAMES Did LeBron James choke in the 2008 playoffs? To find out if LeBron James choked, let’s compare his regular season with the playoff game. LeBron James took 359 three-point shots during the entire 2007-2008 season and 70 three-point shots in the 2008 playoff game. Since the attempted shots are different, we’ll use percentage to compare the two.

5. CALCULATE PERCENTAGE During the regular season, LeBron James made 113 of his attempted 359 three-point shots. Percentage: 359 113 = 0.315 = 31.5% During the playoff, LeBron James made 18 of his attempted 70 three-point shots. Percentage: 70 18 = 0.257 = 25.7%

6. DISPLAY THE CATEGORICAL DATA The distribution of categorical data can be displayed by creating any one of the following graphs: Pie Graph Bar Graph Segmented Bar Graph

7. PIE GRAPH Pie Graph: A slice of a circular pie represents the portion each category contributes. 2007-2008 season: 31.5% shots made 2008 playoff: 25.7% shots made Three-Point Shooting Performance for LeBron James (2008) shots missed 68.5% Regular Season Performance 74.3% shots missed Playoff Performance

8. BAR GRAPH Bar Graph:Height represents the outcome. Three-Point Shooting Performance for LeBron James (2008)

9. SEGMENTED BAR GRAPH Segmented Bar Graph: A slice of a rectangle represents the portion each category contributes. Three-Point Shooting Performance for LeBron James (2008)