Table of contents

1. Intro to Stats and Collecting Data1h 14m
2. Describing Data with Tables and Graphs1h 55m
3. Describing Data Numerically2h 5m
4. Probability2h 16m
5. Binomial Distribution & Discrete Random Variables3h 6m
6. Normal Distribution and Continuous Random Variables2h 11m
7. Sampling Distributions & Confidence Intervals: Mean3h 23m
8. Sampling Distributions & Confidence Intervals: Proportion1h 12m
- Sampling Distribution of Sample Proportion
  29m
- Confidence Intervals for Population Proportion
  42m
9. Hypothesis Testing for One Sample3h 29m
10. Hypothesis Testing for Two Samples4h 50m
11. Correlation1h 6m
12. Regression1h 50m
13. Chi-Square Tests & Goodness of Fit1h 57m
14. ANOVA1h 57m

2. Describing Data with Tables and Graphs

Dot Plots

Statistics

2. Describing Data with Tables and Graphs

Dot Plots

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1:10 minutes

Problem 2.2.12

Textbook Question

Graphical Analysis In Exercises 9–12, use the stem-and-leaf plot or dot plot to list the actual data entries. What is the maximum data entry? What is the minimum data entry?

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Observe the dot plot provided. Each dot represents a data entry, and the horizontal axis shows the values of the data. Count the number of dots above each value to determine the frequency of that value.

List all the data entries by recording the value for each dot. For example, if there are three dots above 215, include 215 three times in the data list.

Identify the maximum data entry by finding the largest value on the horizontal axis that has at least one dot above it.

Identify the minimum data entry by finding the smallest value on the horizontal axis that has at least one dot above it.

Summarize the findings by listing the complete data set, the maximum data entry, and the minimum data entry.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Stem-and-Leaf Plot

A stem-and-leaf plot is a method of displaying quantitative data in a graphical format, similar to a histogram. Each data point is split into a 'stem' (the leading digit or digits) and a 'leaf' (the trailing digit). This allows for easy visualization of the distribution of the data while retaining the original values, making it useful for identifying the shape of the data set.

Dot Plot

A dot plot is a simple graphical display that uses dots to represent individual data points along a number line. Each dot corresponds to a single observation, making it easy to see the frequency of values and identify clusters or gaps in the data. Dot plots are particularly useful for small data sets and provide a clear visual representation of the distribution.

Maximum and Minimum Data Entries

The maximum and minimum data entries refer to the highest and lowest values in a data set, respectively. Identifying these values is crucial for understanding the range of the data, which can provide insights into its spread and variability. In graphical representations like dot plots, the maximum is found at the rightmost point, while the minimum is at the leftmost point.

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Related Practice

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.

Textbook Question

The heights (in feet) and the number of stories of the ten tallest buildings in New York City are listed. Use a scatter plot to display the data. Describe any patterns. (Source: Emporis)

Textbook Question

The data set represents the number of minutes a sample of 27 people exercise each week.

108 139 120 123 120 132 123 131 131

157 150 124 111 101 135 119 116 117

127 128 139 119 118 114 127 142 130

g. Display the data using a box-and-whisker plot.

Textbook Question

Putting Graphs in Context In Exercises 5–8, match the plot with the description of the sample.

a. Times (in minutes) it takes a sample of employees to drive to work

b. Grade point averages of a sample of students with finance majors

c. Top speeds (in miles per hour) of a sample of high-performance sports cars

d. Ages (in years) of a sample of residents of a retirement home

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Multiple Choice

The dotplot below shows the number of books read in a month by students in a college class. Find the most and least frequent number of books read.

Multiple Choice

Compare the two dotplots, which give the number of siblings students have in Class A and Class B. Which class has more students with 2 siblings?

Textbook Question

Graphing Data Sets In Exercises 17–32, organize the data using the indicated type of graph. Describe any patterns.

Life Spans of Houseflies Use a dot plot to display the data, which represent the life spans (in days) of 30 houseflies.

9 9 4 11 10 5 13 9 7 11 6 8 14 10 6

10 10 7 14 11 7 8 6 13 10 14 14 8 13 10

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.

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