Activity 3
MATH 216: Statistical Thinking
Descriptive Statistics Practice
Time Allocation: 15 minutes total
Part 1: Manual Calculations (5 minutes)
Dataset: Pulse Rates: [68, 72, 70, 65, 74, 69, 71, 67, 73, 70]
Instructions: Calculate the following statistics by hand:
- Mean: _________________________
- Median: _______________________
- Standard Deviation: _____________
Show your work:
Part 2: Health Data Analysis (5 minutes)
Scenario: Health study on smoking habits and pulse rates:
- Smoker: [Yes, No, No, Yes, No, Yes, No, No, Yes, No]
- Pulse: [72, 68, 70, 75, 69, 74, 67, 71, 73, 70]
Calculate:
| Group | Mean Pulse | Median Pulse | Standard Deviation |
|---|---|---|---|
| Smokers | __________ | __________ | _______________ |
| Non-Smokers | __________ | __________ | _______________ |
Comparison:
- Difference in mean pulse rates: ________________
- Which group shows more variability? _____________
Part 3: Statistical Interpretation (5 minutes)
Based on your calculations:
Does smoking appear to affect pulse rates? □ Yes □ No
Evidence supporting your conclusion:
Potential limitations of this small dataset:
One follow-up question you would ask to better understand the relationship: