Table of contents
- 1. Intro to Stats and Collecting Data55m
- 2. Describing Data with Tables and Graphs1h 55m
- 3. Describing Data Numerically1h 45m
- 4. Probability2h 16m
- 5. Binomial Distribution & Discrete Random Variables2h 33m
- 6. Normal Distribution and Continuous Random Variables1h 38m
- 7. Sampling Distributions & Confidence Intervals: Mean1h 3m
- 8. Sampling Distributions & Confidence Intervals: Proportion1h 12m
- 9. Hypothesis Testing for One Sample1h 1m
- 10. Hypothesis Testing for Two Samples2h 8m
- 11. Correlation48m
- 12. Regression1h 4m
- 13. Chi-Square Tests & Goodness of Fit1h 20m
- 14. ANOVA1h 0m
2. Describing Data with Tables and Graphs
Dot Plots
Problem 2.2.34
Textbook Question
Phone Screen Sizes Display the data below in a dot plot. Describe the differences in how the stem-and-leaf plot and the dot plot show patterns in the data.


1
Step 1: Understand the stem-and-leaf plot provided. The stem represents the integer part of the phone screen sizes, and the leaf represents the decimal part. For example, '5|0' corresponds to a screen size of 5.0 inches.
Step 2: Extract the data from the stem-and-leaf plot. The screen sizes are: 5.0, 5.0, 5.5, 5.5, 5.6, 5.7, 5.8, 5.8, 5.9, 6.0, 6.0, 6.1, 6.2, 6.3, 6.4, 6.5, 6.5, 6.6, 6.8, 6.8, 6.9, 7.0, and 7.0.
Step 3: Create a dot plot using the extracted data. For each unique screen size, place a dot above the corresponding value on a number line. For example, for 5.0 inches, place two dots above 5.0 since it appears twice in the data.
Step 4: Compare the stem-and-leaf plot and the dot plot. The stem-and-leaf plot organizes the data by grouping screen sizes based on their integer part, making it easier to see clusters and individual values. The dot plot visually represents the frequency of each screen size, making it easier to identify patterns such as the most common sizes.
Step 5: Summarize the differences. The stem-and-leaf plot provides a compact numerical representation, while the dot plot offers a visual frequency distribution. Both are useful for identifying patterns, but the dot plot is more intuitive for visualizing the spread and frequency of the data.

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