29. Reshaping the Labor Force. The following graph is based on one that appeared in an Arizona Republic newspaper article entitled "Hand That Rocked Cradle Turns to Work as Women Reshape U.S. Labor Force." The graph depicts the labor force participation rates for the years 1960,1980 , and 2000 .

a. Cover the numbers on the vertical axis of the graph with a piece of paper.
b. Look at the 1960 and 2000 graphs for women, focusing on the 35 to 44-year-old age group. What impression does the graph convey regarding the ratio of the percentages of women in the labor force for 1960 and 2000 ?
c. Now remove the piece of paper from the graph. Use the vertical scale to find the actual ratio of the percentages of 35 - to 44-yearold women in the labor force for 1960 and 2000.
d. Why is the graph potentially misleading?
e. What can be done to make the graph less potentially misleading?

Short Answer

Expert verified

(a) Ignore the vertical axis scaling.

(b) Within 40 years, the female population tripled.
(c) Women make up roughly 70%of the population in 2000, compared to 40%in 1996.

(d) The frequency and relative frequency is given below:

(e) The graph less potentially misleading as:

Step by step solution

01

Part (a) Step 1: Given information

To cover the numbers on the vertical axis of the graph with a piece of paper.

02

Part (a) Step 2: Explanation

The number of data values that fall into a class is known as frequency.
When answering the question, ignore the vertical axis scaling.

03

Part (b) Step 1: Given information

To find the impression does the graph convey regarding the ratio of the percentages of women in the labor force for 1960and 2000.

04

Part (b) Step 2: Explanation

Each category is represented as a slice in a pie chart.
In 2000, the percentage of women has more than tripled compared to 1960.
As a result, within 40 years, the female population tripled.

05

Part (c) Step 1: Given information

To use the vertical scale to find the actual ratio of the percentages of 35- to 44-year old women in the labor force for 1960 and 2000.

06

Part (c) Step 2: Explanation

The number of data values that fall into a class is known as frequency.
Women make up roughly 70%of the population in 2000, compared to 40%in 1996.

As a result, the percentage of women in 2000is about 70%but in 1996 it was about 40%.

07

Part (d) Step 1: Given information

To determine whether the graph potentially misleading.

08

Part (d) Step 2: Explanation

The number of data values that fall into a class is known as frequency. The frequency and relative frequency is given below:

09

Part (e) Step 1: Given information

To determine and make the graph less potentially misleading.

10

Part (e) Step 2:Explanation

Each category is represented as a slice in a pie chart. The graph less potentially misleading as:

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 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

When is the use of single-value grouping particularly appropriate?

Stays in Europe and the Mediterranean. The Bureau of Economic Analysis gathers information on the length of stay in Europe and the Mediterranean by U.S. travelers. Data are published in the Survey of Current Bussiness. The following stem-and-leaf diagram portrays the length of stay, in days, of a sample of 36 U.S. residents who traveled to Europe and the Mediterranean last year.

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

Use the histogram and the fact that adjusted gross incomes are expressed to the nearest whole dollar to answer each of the following questions.

a. Approximately what percentage of the individual income tax returns had an adjusted gross income between\)10,000and \(19,999, inclusive?

b. Approximately what percentage had an adjusted gross income of less than \)30,000?

c. The IRS reported that \(89,928,000individual income tax returns had an adjusted gross income of less than \)50,000. Approximately how many had an adjusted gross income between \(30,000and \)49,999, inclusive?

Baltimore Ravens. From Player Roster, the official roster of the 2013 Super Bowl champion Baltimore Ravens, we obtained the heights, in inches, of the players on that team. A dot plot of those heights is as follows.

Weights of 18- to 24-Year-Old Males. Refer to the weight data in Table 2.8on page 54 . Note that there are 37 observations, the smallest and largest of which are 129.2and278.8, respectively. Apply the preceding procedure to choose classes for cut point grouping. Use approximately eight classes. Note: If in Step 2 you decide on 20 for the class width and in Step 3 you choose 120 for the lower cut point of the first class, then you will get the same classes as used in Example 2.14; otherwise, you will get different classes (which is fine).

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.

Sign-up for free