Introduction To Statistics And Data Analysis
6th Edition
ISBN: 9781337793612
Author: PECK, Roxy.
Publisher: Cengage Learning,
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Textbook Question
Chapter 3.3, Problem 31E
Use the commute time data given in the previous exercise to complete the following:
- a. Calculate the cumulative relative frequencies, and construct a cumulative relative frequency plot.
- b. Use the cumulative relative frequency plot constructed in Part (a) to answer the following questions.
- i. Approximately what proportion of commute times were less than 50 minutes?
- ii. Approximately what proportion of commute times were greater than 22 minutes?
- iii. What is the approximate commute time value that separates the shortest 50% of commute times from the longest 50%?
3.30 U.S. Census data for San Luis Obispo County, California, were used to construct the following relative frequency distribution for commute time (in minutes) of working adults in 2015 (datausa.io/profile/geo/san-luis-bispo-paso-robles-ca-metro-area/#housing, retrieved February 18, 2018) and so are only approximate):
- a. Notice that not all intervals in the frequency distribution are equal in width. Why do you think that unequal width intervals were used?
- b. Construct a table that adds a density column to the given relative frequency distribution. (Hint: See Example 3.17.)
- c. Use the densities computed in Part (b) to construct a histogram for this data set. (The web site referenced earlier actually displays an incorrectly drawn histogram based on relative frequencies rather than densities!) Write a few sentences commenting on the important features of the histogram.
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Chapter 3 Solutions
Introduction To Statistics And Data Analysis
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