A'ja Wilson Statistics
Students will analyze Aja Wilson's Olympic basketball performance data to calculate the mean and mean absolute deviation (MAD). This will help them understand the consistency of her scoring and evaluate her overall performance during the games.
Essential Question
How can statistical analysis be used to evaluate the consistency and effectiveness of an athlete's performance, such as analyzing Aja Wilson's Olympic basketball data?
Grade(s):
- 7
Subject(s):
Recommended Technology:
Other Instructional Materials or Notes:
- Calculator
- Whiteboard or chart paper
- Markers
Lesson Progression
Introduction (10 minutes)
Discuss the importance of data analysis in sports.
Introduce the concept of mean absolute deviation (MAD) as a measure of how spread out data is.
Explain that MAD can be used to analyze the consistency of performance.
Exploration (20 minutes)
Provide students with Aja Wilson's Olympic statistics for a specific event (e.g., points scored per game).
Have students calculate the mean number of points scored per game.
Demonstrate how to calculate the absolute deviation for each game by subtracting the mean from the number of points scored and taking the absolute value.
Calculate the mean absolute deviation for the dataset.
Explanation (15 minutes)
Explain the meaning of MAD and how it can be used to interpret the variability of data.
Discuss the implications of a high or low MAD in the context of basketball performance.
Elaboration (20 minutes)
Divide students into small groups.
Assign each group a different basketball player or team.
Have students collect and analyze data for their assigned topic.
Instruct students to calculate the mean and MAD for their data.
Encourage students to interpret the MAD and draw conclusions about the consistency of performance.
Evaluation (5 minutes)
Have students present their findings to the class.
Discuss the strengths and weaknesses of using MAD to analyze data.
Encourage peer feedback and discussion.
Teacher Notes
differentiation: Reduce the amount of data provided. Instead of analyzing all of Aja Wilson's games, focus on a smaller subset of games or focus on a single statistic (e.g., points scored). This will make it easier for students to calculate the mean and MAD.
extension: Explore other measures of variability (e.g., range, standard deviation). Compare the MAD for different players or teams. Use statistical software to analyze larger datasets.
Assessments
Use the student work during the evaluation portion of the lesson to assess student learning outcomes.