Introduction to Statistics and Data Analysis

5th Edition

ISBN: 9781305115347

Author: Roxy Peck; Chris Olsen; Jay L. Devore

Publisher: Brooks Cole

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Textbook Question

Chapter 4.3, Problem 32E

Based on a large national sample of working adults, the U.S. Census Bureau reports the following information on travel time to work for those who do not work at home:

lower quartile = 7 minutes

median = 18 minutes

upper quartile = 31 minutes

Also given was the mean travel time, which was reported as 22.4 minutes.

a. Is the travel time distribution more likely to be approximately symmetric, positively skewed, or negatively skewed? Explain your reasoning based on the given summary quantities.
b. Suppose that the minimum travel time was 1 minute and that the maximum travel time in the sample was 205 minutes. Construct a skeletal boxplot for the travel time data. (Hint: See Example 4.10.)
c. Were there any mild or extreme outliers in the data set? How can you tell? (Hint: See Example 4.11.)

Definition Definition Measure of central tendency that is the value that occurs most frequently in a data set. A data set may have more than one mode if multiple categories repeat an equal number of times. For example, in a data set with five item—3, 5, 5, 29, 473—the mode is 5 because it occurs twice and no other value occurs more than once. On a histogram or bar chart, the element with the highest bar represents the mode. Therefore, the mode is sometimes considered the most popular option. The mode is useful for nominal or categorical data (e.g., the most common color car that users purchase), but it is problematic for continuous data because it is more likely not to have any value that is more frequent than the other.

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Chapter 4 Solutions

Introduction to Statistics and Data Analysis

Ch. 4.1 - The Insurance Institute for Highway Safety...Ch. 4.1 - The article Caffeine Content of Drinks...Ch. 4.1 - Consumer Reports Health...Ch. 4.1 - Consumer Reports Health...Ch. 4.1 - Prob. 5E Ch. 4.1 - Prob. 6E Ch. 4.1 - Prob. 7E Ch. 4.1 - Each student in a sample of 20 seniors at a...Ch. 4.1 - Prob. 9E Ch. 4.1 - The ministry of Health and Long-Term Care in...

Ch. 4.1 - Houses in California are expensive, especially on...Ch. 4.1 - Consider the following statement: More than 65% of...Ch. 4.1 - A sample consisting of four pieces of luggage was...Ch. 4.1 - Suppose that 10 patients with meningitis received...Ch. 4.1 - A study of the lifetime (in hours) for a certain...Ch. 4.1 - An instructor has graded 19 exam papers submitted...Ch. 4.2 - The following data are costs (in cents) per ounce...Ch. 4.2 - Cost per serving (in cents) for six high-fiber...Ch. 4.2 - Combining the cost-per-serving data for high-fiber...Ch. 4.2 - Prob. 20E Ch. 4.2 - The accompanying data are consistent with summary...Ch. 4.2 - The paper referenced in the previous exercise also...Ch. 4.2 - Prob. 23E Ch. 4.2 - Prob. 24E Ch. 4.2 - The accompanying data on number of minutes used...Ch. 4.2 - Give two sets of five numbers that have the same...Ch. 4.2 - Prob. 27E Ch. 4.2 - The U.S. Department of Transportation reported the...Ch. 4.2 - The Ministry of Health and Long-Term Care in...Ch. 4.2 - In 1997, a woman sued a computer keyboard...Ch. 4.2 - The standard deviation alone does not measure...Ch. 4.3 - Based on a large national sample of working...Ch. 4.3 - Prob. 33E Ch. 4.3 - Prob. 34E Ch. 4.3 - Prob. 35E Ch. 4.3 - Fiber content (in grams per serving) and sugar...Ch. 4.3 - Shown here are the number of auto accidents per...Ch. 4.4 - The average playing time of music albums in a...Ch. 4.4 - In a study investigating the effect of car speed...Ch. 4.4 - Prob. 40E Ch. 4.4 - Mobile homes are tightly constructed for energy...Ch. 4.4 - Prob. 42E Ch. 4.4 - A student took two national aptitude tests. The...Ch. 4.4 - Suppose that your younger sister is applying for...Ch. 4.4 - The report Who Borrows Most? Bachelors Degree...Ch. 4.4 - Prob. 46E Ch. 4.4 - Prob. 47E Ch. 4.4 - Suppose that your statistics professor returned...Ch. 4.4 - Prob. 49E Ch. 4.4 - Suppose that the average reading speed of students...Ch. 4.4 - Prob. 51E Ch. 4.4 - The accompanying table gives the mean and standard...Ch. 4.5 - The authors of the paper Delayed Time to...Ch. 4.5 - The paper Portable Social Groups: Willingness to...Ch. 4 - Prob. 55CR Ch. 4 - Prob. 56CR Ch. 4 - Prob. 57CR Ch. 4 - Prob. 58CR Ch. 4 - Because some homes have selling prices that are...Ch. 4 - Although bats are not known for their eyesight,...Ch. 4 - Prob. 61CR Ch. 4 - Prob. 62CR Ch. 4 - Prob. 63CR Ch. 4 - Prob. 64CR Ch. 4 - Prob. 65CR Ch. 4 - Prob. 66CR Ch. 4 - Prob. 67CR Ch. 4 - Prob. 68CR Ch. 4 - Prob. 69CR Ch. 4 - Prob. 70CR Ch. 4 - Prob. 71CR Ch. 4 - Age at diagnosis for each of 20 patients under...Ch. 4 - Suppose that the distribution of scores on an exam...

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Solution Summary: The author explains that the travel time distribution is more likely to be symmetric, positively skewed, or negative. The data set has an extreme outlier at 205.

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