Suppose you use a graphing calculator to analyze a dataset containing college graduation rates for men and women. Which of the following statistics would best allow you to compare the central tendency of graduation rates between the two groups?
3. Describing Data Numerically
Describing Data Numerically Using a Graphing Calculator Bonus
- Multiple Choice
- Multiple Choice
Which of the following best describes the process of turning data points into useful information when using a graphing calculator?
- Textbook Question
Boxplots from Large Data Sets in Appendix B. In Exercises 33–36, use the given data sets in Appendix B. Use the boxplots to compare the two data sets.
Pulse Rates Use the same scale to construct boxplots for the pulse rates of males and females from Data Set 1 “Body Data” in Appendix B.
- Textbook Question
In Exercises 37– 40, use the data set, which represents the model 2020 vehicles with the highest fuel economies (in miles per gallon) in the most popular classes. (Source: U.S. Environmental Protection Agency)
36 30 30 45 31 113 113 33 33 33 52 141 56 117 58
118 50 26 23 23 27 48 22 22 22 121 41 105 35 35
Find the five-number summary of the data set.
- Textbook Question
The following data represent the weights (in grams) of 50 randomly selected quarters. Determine and interpret the quartiles. Does the data set contain any outliers?
- Multiple Choice
Which of the following best describes participants' data from the published results when using a graphing calculator to analyze numerical data?
- Textbook Question
Clusters Refer to the Minitab-generated scatterplot. The four points in the lower left corner are measurements from women, and the four points in the upper right corner are from men.
Find the value of the linear correlation coefficient using all eight points. What does that value suggest about the relationship between x and y?
- Textbook Question
In Exercises 37– 40, use the data set, which represents the model 2020 vehicles with the highest fuel economies (in miles per gallon) in the most popular classes. (Source: U.S. Environmental Protection Agency)
36 30 30 45 31 113 113 33 33 33 52 141 56 117 58
118 50 26 23 23 27 48 22 22 22 121 41 105 35 35
About how many vehicles fall on or below the third quartile?
- Textbook Question
Boxplots. In Exercises 29–32, use the given data to construct a boxplot and identify the 5-number summary.
Taxis Listed below are times (minutes) of a sample of taxi rides in New York City. The data are from the New York City Taxi and Limousine Commission.
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- Textbook Question
Project Find a real-life data set and use the techniques of Chapter 2, including graphs and numerical quantities, to discuss the center, variation, and shape of the data set. Describe any patterns.
- Multiple Choice
Which term best describes the process of taking what you have observed and expressing it as a number when using a graphing calculator to analyze data?
- Textbook Question
McDonald’s versus Wendy’s A student wanted to determine whether the wait time in the drive-thru at McDonald’s differed from that at Wendy’s. She used a random sample of 30 cars at McDonald’s and 27 cars at Wendy’s and obtained these results:
d. Draw boxplots of each data set using the same scale. Does this visual evidence support the results obtained in part (b)?
Note: The sample size for Wendy’s is less than 30. However, the data do not contain any outliers, so the Central Limit Theorem can be used.
- Textbook Question
Clusters Refer to the Minitab-generated scatterplot. The four points in the lower left corner are measurements from women, and the four points in the upper right corner are from men.
a. Examine the pattern of the four points in the lower left corner (from women) only, and subjectively determine whether there appears to be a correlation between x and y for women.
- Textbook Question
Boxplot Using the same differences from Exercise 1, construct a boxplot and include the values of the 5-number summary.
- Textbook Question
Cloud Seeding The “Florida Area Cumulus Experiment” was conducted by using silver iodide to seed clouds with the objective of increasing rainfall. For the purposes of this exercise, let the daily amounts of rainfall be represented by units of rnfl. (The actual rainfall amounts are in or )
Find the value of the following statistics and include appropriate units based on rnfl as the unit of measurement.
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c. midrange
d. range