Activity 4

MATH 216: Statistical Thinking

1. Think-Pair-Share

  1. Think: Take 2 minutes to identify a real-world example of a symmetric distribution (e.g., heights of people, test scores). Write down your example.

  2. Pair: Turn to a partner and discuss your examples. Compare and contrast the examples you both came up with.

  3. Share: Be prepared to share your findings with the class. Highlight why your example fits the concept of a symmetric distribution.

2. Quiz

Answer the following question individually:

  • “If a student’s GPA has a z-score of 2, what does this mean?”

      1. The GPA is 2 points above the mean.
      1. The GPA is 2 standard deviations above the mean.
      1. The GPA is 2 standard deviations below the mean.
      1. The GPA is 2 points below the mean.

Discussion: After answering, discuss with a partner why you chose your answer. Be ready to explain your reasoning to the class.

3. Case Studies and Problem-Solving

  1. Case Study: Use the graphical and numerical summaries of Student Survey Dataset to compare the GPA of students for different Year.

  1. Tasks:

    • Interpret the results: Do Junior Students have higher GPAs on average? What might explain this result?
    • Discuss potential biases or limitations in the dataset.

  2. Reflect: Write a short paragraph summarizing your findings and share it with the class.