Ten UW students were polled regarding the amount of sleep they get on the weekdays vs. the weekends.  Data was gathered for Wednesday and Friday nights.

Wednesday:  6, 5.5, 6, 7.5, 7, 6, 5.5, 5, 6.5, 5 hours

Friday:  4.5, 6.5, 9, 4, 5, 6, 8.5, 3, 6, 7.5 hours

For the two datasets, please provide the five number summary and a stacked boxplot.

Write out your answer neatly and upload the file.  

Here are the five-number summaries for the two datasets:

**Wednesday:**
- Minimum: 5.0 hours
- Q1 (25th percentile): 5.5 hours
- Median: 6.0 hours
- Q3 (75th percentile): 6.375 hours
- Maximum: 7.5 hours

**Friday:**
- Minimum: 3.0 hours
- Q1 (25th percentile): 4.625 hours
- Median: 6.0 hours
- Q3 (75th percentile): 7.25 hours
- Maximum: 9.0 hours

Additionally, you can download the stacked boxplot from the link below:

[Download the boxplot image](sandbox:/mnt/data/sleep_boxplot.png)

Let me know if you'd like any further explanations or if you have any questions!

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Here are 5 related questions to deepen your understanding:
1. How would you interpret the difference in the range of sleep hours between Wednesday and Friday?
2. Why might the median be a better measure than the mean for this data?
3. What would be the impact of outliers in a five-number summary?
4. Can you explain why the interquartile range (IQR) is important in understanding this data?
5. How would a larger sample size affect the accuracy of these summaries?

**Tip**: Boxplots are great tools to visually compare the spread and central tendency of datasets—keep an eye on outliers!

Ten UW students were polled regarding the amount of sleep they get on the weekdays vs. the weekends. Data was gathered for Wednesday and Friday nights.

Wednesday: 6, 5.5, 6, 7.5, 7, 6, 5.5, 5, 6.5, 5 hours

Friday: 4.5, 6.5, 9, 4, 5, 6, 8.5, 3, 6, 7.5 hours

For the two datasets, please provide the five number summary and a stacked boxplot.
Write out your answer neatly and upload the file.

Analyze the five-number summary of sleep data for ten UW students, comparing sleep patterns for Wednesday and Friday nights. Explore how descriptive statistics are used to summarize data, including key values like minimum, median, and maximum. Learn how boxplots visualize the distribution of sleep hours and identify any potential outliers. Suitable for high school students in Grades 10-12.

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