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Chapter 2: Q2.1 (page 40)
Give an example, other than those presented in this section, of
a) Qualitative Variable
b) Discrete Qualitative Variable
c) Continuous Quantitative Variable
A) Level of honesty, Intensity of love
B) Number of people, Numbers on a die
C) Weight & height of people
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Class Levels. Earlier in this section, we considered the political party affiliations of the students in Professor Weiss's introductory statistics course. The class levels of those students are as follows, where Fr, So, Jr, and Sr denote freshman, sophomore, junior, and senior, respectively.
Answer true or false to each of the statements in parts (a) and (b), and explain your reasoning.
a. Two data sets that have identical frequency distributions have identical relative-frequency distributions.
b. Two data sets that have identical relative-frequency distributions have identical frequency distributions.
c. Use your answers to parts (a) and (b) to explain why relative frequency distributions are better than frequency distributions for comparing two data sets.
Inauguration Ages. From the Information Please Almanac, we obtained the ages at the inauguration of the first 44 presidents of the United States (from George Washington to Barack H. Obama).
a. Identify the classes for grouping these data, using limit grouping with classes of equal width 5 and a first-class of 40-44.
b. Identify the class marks of the classes found in part (a).
c. Construct frequency and relative frequency distributions of the inauguration ages based on your classes obtained in part (a).
d. Draw a frequency histogram for the inauguration ages based on your grouping in part (a).
e. Classify the shape of the distribution of inauguration ages for the first 44 presidents of the United States both generally and specifically.
Identify an important reason for grouping data.
Road Rage. The report Controlling Road Rage: A Literature Review and Pilot Study was prepared for the AAA Foundation for Traffic Safety by D. Rathbone and J. Huckabee. The authors discuss the results of a literature review and pilot study on how to prevent aggressive driving and road rage. As described in the study, road rage is criminal behavior by motorists characterized by uncontrolled anger that results in violence or threatened violence on the road. One of the goals of the study was to determine when road rage occurs most often. The days on whichroad rage incidents occurred are presented in the following table.
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