3. Describing Data Numerically

Which of the following distributions is left skewed when displayed on a graphing calculator?

Given a data set, which function on a graphing calculator is typically used to compute the $\mathrm{mean}$ and $\mathrm{standard\; deviation}$ of the data?

A review of the height and weight of children around the world concluded that there are differences in the distributions of these variables across populations. Which of the following best describes how a graphing calculator can be used to numerically summarize such data?

Which type of quantitative data is typically obtained as a result of measuring a variable rather than counting?

Which of the following types of data can be measured quantitatively?

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?

Which of the following best describes the process of turning data points into useful information when using a graphing calculator?

Which of the following best describes participants' data from the published results when using a graphing calculator to analyze numerical data?

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?

The amounts of yearly rainfall in Miami over the last $5$ years are an example of which type of data?

In Exercises 1 and 2, use the following wait times (minutes) at 10:00 AM for the Tower of Terror ride at Disney World (from Data Set 33 “Disney World Wait Times” in Appendix B).

35 35 20 50 95 75 45 50 30 35 30 30

Tower of Terror Wait Times

a. Find Q1, Q2 and Q3.

In Exercises 1–5, refer to the following list of numbers of years that deceased U.S. presidents, popes, and British monarchs lived after their inauguration, election, or coronation, respectively. (As of this writing, the last president is George H. W. Bush, the last pope is John Paul II, and the last British monarch is George VI.) Assume that the data are samples from larger populations.

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Exploring the Data Include appropriate units in all answers.

d. Are there any obvious outliers?

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

In Exercises 1–5, refer to the following list of numbers of years that deceased U.S. presidents, popes, and British monarchs lived after their inauguration, election, or coronation, respectively. (As of this writing, the last president is George H. W. Bush, the last pope is John Paul II, and the last British monarch is George VI.) Assume that the data are samples from larger populations.

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Exploring the Data Include appropriate units in all answers.

e. What is the level of measurement of the data (nominal, ordinal, interval, ratio)?

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.