Logout Open In App
Open In App
Warning: foreach() argument must be of type array|object, bool given in /var/www/html/web/app/themes/studypress-core-theme/template-parts/header/mobile-offcanvas.php on line 20

Chapter 2: Q. 2.146 (page 81)

Adjusted Gross Incomes. The Internal Revenue Service (IRS) publishes data on adjusted gross incomes in the document Siarisuics of Income, Individual Income Tax Reforms. The following relative-frequency histogram shows one year's individual income tax returns for adjusted gross incomes of less than 50,000.

Short Answer

Expert verified

The distribution is right-skewed.

Step by step solution

01

Given Information

To determine whether the given graph is symmetric, right-skewed, or left-skewed.

02

Explanation

Consider the given graph:

If the shape of any distribution is divided into two parts, one of which is the mirror image of the other, the distribution is said to be symmetric.

The graph in question cannot be divided into two equal halves, one of which is a mirror image of the other.

As a result, the graph's shape is asymmetric.

The long tail of the distribution lies towards the higher values of the variate, as seen in the given figure , and the mean is greater than the median.

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.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

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

Residential Energy Consumption. Refer to the energy consumption data given in Exercise 2.84.

a. Construct a table similar to Table 2.14for the data, based on the classes specified in Exercise 2.84. Interpret your results.

b. Construct an ogive for the data.

Clocking the Cheetah. Refer to the speed data given in Exercise 2.89.

a. Construct a table similar to Table 2.14for the data, based on the classes specified in Exercise 2.89. Interpret your results.

b. Construct an ogive for the data.

Exam Scores. The exam scores for the students in an introductory statistics class are as follows.

a. Group these exam scores, using the classes 30-39,40-49,50-59,60-69,70-79,80-89, and 90-100.

b. What are the widths of the classes?

c. If you wanted all the classes to have the same width, what classes would you use?

The Beatles. In the article, "Length of The Beatles" Songs" (Chance, Vol. 25, No, 1, Pp. 30-33), T. Koyama discusses aspects and interpretations of the lengths of songs by The Beatles. Data on the length, in seconds, of 229 Beatles songs are presented on the WeissStats site.

a. use the technology of your choice to identify the modality and symmetry (or non-symmetry) of the distribution of the data set.

b. if unimodal, classify the distribution as symmetric right-skewed. or left-skewed.

Cholesterol Levels. According to the National Health and Nutrition Examination Survey, published by the Centers for Disease Control and Prevention, the average cholesterol level for children between 4 and 19 years of age is 165mg /dl. A pediatrician who tested the cholesterol levels of several young patients was alarmed to find that many had levels higher than 200mg / dL. The following relative frequency histogram shows the readings for some patients who had high cholesterol levels.
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Pure Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Applied Mathematics

Read Explanation

Logic and Functions

Read Explanation

Statistics

Read Explanation
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.

Sign-up for free