/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q 96. Income and education level Each ... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

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.

Short Answer

Expert verified

Shape: All distribution is right-skewed

Centre: education level is increasing and therefore, the median is increased. Spread, income and IQR are increased

Step by step solution

01

 Given information

Given graph :

02

Concept

A boxplot is a type of chart often used in explanatory data analysis.

03

Explanation

Shape: All distributions are right-skewed because the median line in the box of the box plot is farther to the bottom of the box plot and the top whiskers are longer than the bottom whiskers.

Center: As education levels rise, we see that median income (the line in the box of the boxplot) rises as well.

Spread: As education levels rise, we see an increase in the income range (distance between whiskers) and the IQR (height of the box of the boxplot).

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91Ó°ÊÓ!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

The audience for movies Here are data on the percent of people in several age groups who attended a movie in the past 12months:

(a) Display these data in a bar graph. Describe what you see.

(b) Would it be correct to make a pie chart of these data? Why or why not?

(c) A movie studio wants to know what percent of the total audience for movies is 18to 24years old. Explain why these data do not answer this question.

Age groupMovie attendence
18 to 24 years83%
25 to 34 years73%
35 to 44 years
68%
45 to 54 years
60%
55 to 64 years
47%
65 to 74 years
32%
75 to and over
20%

Basketball playoffs Here are the scores of the games played in the California Division I-AAA high school basketball playoffs

On the same day, the final scores of games in the Division

V-AA were

(a) Construct a back-to-back stem plot to compare the points scored by the 32 teams in the Division I-AAA playoffs and the 24 teams in the Division V-AA

playoffs.

(b) Write a few sentences comparing the two distributions.

Olympic gold! The following table displays the total number of gold medals won by a sample of countries in the 2008 Summer Olympic Games in China.

(a) Make a dot plot to display these data. Describe the overall pattern of the distribution and any deviations from that pattern.

(b) Overall, 204 countries participated in the 2008 Summer Olympics, of which 55 won at least one gold medal. Do you believe that the sample of countries listed in the table is representative of this larger population? Why or why not?

Make a graph to display the marginal distribution. Describe what you see

Attitudes toward recycled products Exercise 19 gives data on the opinions of people who have and have not bought coffee filters made from recycled paper.

To see the relationship between opinion and experience with the product, find the conditional distributions of opinion (the response variable) for buyers and nonbuyers. What do you conclude?

See all solutions

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.