A stemplot contains the row 2|0024555789. List the data points displayed in this row.
Table of contents
- 1. Intro to Stats and Collecting Data1h 14m
- 2. Describing Data with Tables and Graphs1h 56m
- 3. Describing Data Numerically2h 5m
- 4. Probability2h 17m
- 5. Binomial Distribution & Discrete Random Variables3h 6m
- 6. Normal Distribution and Continuous Random Variables2h 11m
- 7. Sampling Distributions & Confidence Intervals: Mean3h 23m
- Sampling Distribution of the Sample Mean and Central Limit Theorem19m
- Distribution of Sample Mean - ExcelBonus23m
- Introduction to Confidence Intervals15m
- Confidence Intervals for Population Mean1h 18m
- Determining the Minimum Sample Size Required12m
- Finding Probabilities and T Critical Values - ExcelBonus28m
- Confidence Intervals for Population Means - ExcelBonus25m
- 8. Sampling Distributions & Confidence Intervals: Proportion2h 10m
- 9. Hypothesis Testing for One Sample5h 8m
- Steps in Hypothesis Testing1h 6m
- Performing Hypothesis Tests: Means1h 4m
- Hypothesis Testing: Means - ExcelBonus42m
- Performing Hypothesis Tests: Proportions37m
- Hypothesis Testing: Proportions - ExcelBonus27m
- Performing Hypothesis Tests: Variance12m
- Critical Values and Rejection Regions28m
- Link Between Confidence Intervals and Hypothesis Testing12m
- Type I & Type II Errors16m
- 10. Hypothesis Testing for Two Samples5h 37m
- Two Proportions1h 13m
- Two Proportions Hypothesis Test - ExcelBonus28m
- Two Means - Unknown, Unequal Variance1h 3m
- Two Means - Unknown Variances Hypothesis Test - ExcelBonus12m
- Two Means - Unknown, Equal Variance15m
- Two Means - Unknown, Equal Variances Hypothesis Test - ExcelBonus9m
- Two Means - Known Variance12m
- Two Means - Sigma Known Hypothesis Test - ExcelBonus21m
- Two Means - Matched Pairs (Dependent Samples)42m
- Matched Pairs Hypothesis Test - ExcelBonus12m
- Two Variances and F Distribution29m
- Two Variances - Graphing CalculatorBonus16m
- 11. Correlation1h 24m
- 12. Regression3h 33m
- Linear Regression & Least Squares Method26m
- Residuals12m
- Coefficient of Determination12m
- Regression Line Equation and Coefficient of Determination - ExcelBonus8m
- Finding Residuals and Creating Residual Plots - ExcelBonus11m
- Inferences for Slope31m
- Enabling Data Analysis ToolpakBonus1m
- Regression Readout of the Data Analysis Toolpak - ExcelBonus21m
- Prediction Intervals13m
- Prediction Intervals - ExcelBonus19m
- Multiple Regression - ExcelBonus29m
- Quadratic Regression15m
- Quadratic Regression - ExcelBonus10m
- 13. Chi-Square Tests & Goodness of Fit2h 21m
- 14. ANOVA2h 29m
2. Describing Data with Tables and Graphs
Stemplots (Stem-and-Leaf Plots)
Problem 2.2.5
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

Verified step by step guidance1
Step 1: Analyze the stem-and-leaf plot provided. The key indicates that '0|8' represents 0.8. This means the data values are in decimal format, and each stem represents the integer part while the leaf represents the decimal part.
Step 2: List the data values from the stem-and-leaf plot. For example, the first row (stem 0, leaf 8) corresponds to 0.8, the second row (stem 1, leaves 5, 6, 8) corresponds to 1.5, 1.6, and 1.8, and so on.
Step 3: Consider the context of the data. The values range from 0.8 to 4.0, which suggests that the data could represent measurements that are typically small in magnitude, such as grade point averages (GPAs).
Step 4: Match the data to the given descriptions. The data does not seem to represent times to drive to work (which are usually larger numbers), top speeds of sports cars (which are much larger), or ages of retirement home residents (which are integers and larger). The data aligns best with GPAs of finance majors.
Step 5: Conclude that the stem-and-leaf plot matches description (b): 'Grade point averages of a sample of students with finance majors.'
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Data Representation
Data representation refers to the way in which data is organized and displayed for analysis. In the context of the question, the image shows a frequency distribution or a stem-and-leaf plot, which helps visualize the distribution of a dataset. This method allows for easy identification of the shape of the data, central tendencies, and potential outliers.
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Descriptive Statistics
Descriptive statistics summarize and describe the main features of a dataset. Key measures include mean, median, mode, and standard deviation. Understanding these statistics is essential for interpreting the data represented in the graphs and plots, as they provide insights into the overall trends and characteristics of the sample being analyzed.
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Contextual Analysis
Contextual analysis involves interpreting data within the framework of its real-world application. In this question, matching plots with descriptions requires understanding the context of each sample, such as employee commute times or student GPAs. This analysis helps in making informed conclusions about the data and its implications in practical scenarios.
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