Contents
- Preface
1Sampling and Data
- Introduction
- 1.1Definitions of Statistics, Probability, and Key Terms
- 1.2Data, Sampling, and Variation in Data and Sampling
- 1.3Frequency, Frequency Tables, and Levels of Measurement
- 1.4Experimental Design and Ethics
- 1.5Data Collection Experiment
- 1.6Sampling Experiment
- Key Terms
- Chapter Review
- Practice
- Homework
- Bringing It Together: Homework
- References
- Solutions
10Hypothesis Testing with Two Samples
- AAppendix A Review Exercises (Ch 3–13)
- BAppendix B Practice Tests (1–4) and Final Exams
- CData Sets
- DGroup and Partner Projects
- ESolution Sheets
- FMathematical Phrases, Symbols, and Formulas
- GNotes for the TI-83, 83+, 84, 84+ Calculators
- HTables
- Index
2.8
Descriptive Statistics
Stats Lab
Descriptive Statistics
Student Learning Outcomes
- The student will construct a histogram and a box plot.
- The student will calculate univariate statistics.
- The student will examine the graphs to interpret what the data imply.
Collect the Data Record the number of pairs of shoes you own.
- Randomly survey 30 classmates about the number of pairs of shoes they own. Record their values.
_____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ Table 2.39 Survey Results - Construct a histogram. Make five to six intervals. Sketch the graph using a ruler and pencil and scale the axes.
Figure 2.32
- Calculate the following values:
- = _____
- s = _____
- Are the data discrete or continuous? How do you know?
- In complete sentences, describe the shape of the histogram.
- Are there any potential outliers? List the value(s) that could be outliers. Use a formula to check the end values to determine if they are potential outliers.
Analyze the Data
- Determine the following values:
- Min = _____
- M = _____
- Max = _____
- Q1 = _____
- Q3 = _____
- IQR = _____
- Construct a box plot of data.
- What does the shape of the box plot imply about the concentration of data? Use complete sentences.
- Using the box plot, how can you determine if there are potential outliers?
- How does the standard deviation help you to determine concentration of the data and whether there are potential outliers?
- What does the IQR represent in this problem?
- Show your work to find the value that is 1.5 standard deviations
- above the mean.
- below the mean.