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Chapter 1: Q 53. (page 45)

Traveling to work How long do people travel each day to get to work? The following table gives the average travel times to work (in minutes) for workers in each state and the District of Columbia who is at least 16 years old and don鈥檛 work at home.

(a) Make a histogram of the travel times using classes of width 2 minutes, starting at 14 minutes. That is, the first class is 14 to 16 minutes, the second is 16 to 18 minutes, and so on.

(b) The shape of the distribution is a bit irregular. Is it closer to symmetric or skewed? About where is the center of the data? What is the spread in terms of the smallest and largest values? Are there any outliers?

Short Answer

Expert verified

The data approximately follow the symmetrical (normal) distribution.

Step by step solution

01

Given information

02

Concept

A histogram is an often used graphing tool. It's used to summarise discrete or continuous data that's measured on an interval scale. It's frequently used to highlight the most important characteristics of data distribution in a user-friendly way.

03

Explanation

Therefore, the data approximately follow the symmetrical (normal) distribution.

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Most popular questions from this chapter

Buying music online Young people are more likely than older folk to buy music online. Here are the percent's of people in several age groups who bought music online in 2006:

(a) Explain why it is not correct to use a pie chart to display these data.

(b) Make a bar graph of the data. Be sure to label your axes and title your graph.

Which of the distributions shown has a larger standard deviation? Justify your answer.

Here, once again, is the stem plot of travel times to work for 20randomly selected New Yorkers. Earlier, we found that the median was 22.5minutes.

Based only on the stem plot, would you expect the mean travel time to be less than, about the same as, or larger than the median? Why?

Income and education level Each March, the Bureau of Labor Statistics compiles an Annual Demographic Supplement to its monthly Current Population Survey.44 Data on about 71,067individuals between the ages of data-custom-editor="chemistry" 25and64who were employed full-time were collected in one of these surveys. The boxplots below compare the distributions of income for people with five levels of education. This figure is a variation of the boxplot idea: because large data sets often contain very extreme observations, we omitted the individuals in each category with the top 5%and bottom 5%of incomes. Write a brief description of how the distribution of income changes with the highest level of education reached. Give specifics from the graphs to support your statements.

What do they measure? For each of the following summary statistics, decide (i) whether it could be used to measure center or spread and (ii) whether it is resistant.

(a) Q1+Q32

(b) max-min2
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