graph explore categorical data. try this: do the following summarize a categorical variable or a...

GRAPH EXPLORE CATEGORICAL DATA

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G RA P H

EXPLORE CATEGORICAL DATA

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

STATISTICAL STUDY

1. Hypothesis2. Collect Data3. 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?

Page 4: GRAPH EXPLORE CATEGORICAL DATA. TRY THIS: Do the following summarize a categorical variable or a numerical variable? For a tennis player, the average

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.

Page 5: GRAPH EXPLORE CATEGORICAL DATA. TRY THIS: Do the following summarize a categorical variable or a numerical variable? For a tennis player, the average

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%

Page 6: GRAPH EXPLORE CATEGORICAL DATA. TRY THIS: Do the following summarize a categorical variable or a numerical variable? For a tennis player, the average

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

Page 7: GRAPH EXPLORE CATEGORICAL DATA. TRY THIS: Do the following summarize a categorical variable or a numerical variable? For a tennis player, the average

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

Page 8: GRAPH EXPLORE CATEGORICAL DATA. TRY THIS: Do the following summarize a categorical variable or a numerical variable? For a tennis player, the average

BAR GRAPH

Bar Graph: Height represents the outcome.

Three-Point Shooting Performance for LeBron James (2008)

Page 9: GRAPH EXPLORE CATEGORICAL DATA. TRY THIS: Do the following summarize a categorical variable or a numerical variable? For a tennis player, the average

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)

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