Activity 3

MATH 216: Statistical Thinking

1. Think-Pair-Share Activity

Think-Pair-Share: Calculating Descriptive Statistics

  1. Think: Calculate the mean, median, and standard deviation for the following dataset by hand:

    Pulse Rates: [68, 72, 70, 65, 74, 69, 71, 67, 73, 70]

  2. Pair: Discuss your calculations with a partner. Compare your results and resolve any discrepancies.

  3. Share: Share your findings with the class. Be prepared to explain your calculations.

2. Quiz

Quiz: Proportions and Frequency Tables

  1. Question: In the cell phone dataset, what proportion of adults own an iPhone?

A). 0.194
B). 0.203
C). 0.063
D). 0.410

  1. Question: What is the difference in proportions between females and males who are in a relationship?

A). 0.14
B). 0.10
C). 0.05
D). 0.20

3. Case Studies and Problem-Solving

Objective: Apply statistical concepts to solve real-world problems.

Case Study: Health Data Analysis

  1. Scenario: A health study collected data on smoking habits and pulse rates. The dataset is provided below:

    Smoker: [Yes, No, No, Yes, No, Yes, No, No, Yes, No]  
Pulse: [72, 68, 70, 75, 69, 74, 67, 71, 73, 70]

  2. Task:

    • Calculate the mean and median pulse rates for smokers and non-smokers separately.
    • Compare the variability (standard deviation) of pulse rates between the two groups.
    • Discuss whether smoking appears to have an effect on pulse rates.

  3. Submit: Write a brief report summarizing your findings.