/*! 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} Problem 31 "Ozzie and Harriet Don't Live He... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

"Ozzie and Harriet Don't Live Here Anymore" (San Luis Obispo Tribune, February 26,2002\()\) is the title of an article that looked at the changing makeup of America's suburbs. The article states that nonfamily households (for example, homes headed by a single professional or an elderly widow) now outnumber married couples with children in suburbs of the nation's largest metropolitan areas. The article goes on to state: In the nation's 102 largest metropolitan areas, "nonfamilies" comprised 29 percent of households in 2000 , up from 27 percent in 1990 . While the number of married-with-children homes grew too, the share did not keep pace. It declined from 28 percent to 27 percent. Married couples without children at home live in another 29 percent of suburban households. The remaining 15 percent are single-parent homes. Use the given information on type of household in 2000 to construct a frequency distribution and a bar chart. (Be careful to extract the 2000 percentages from the given information).

Short Answer

Expert verified
After extracting the correct proportions of different household types in 2000, a frequency distribution table was created followed by a bar chart representing these data visually. The bar chart has four bars corresponding to four types of households. Each bar's height is proportionate to the percentage of the specific household type.

Step by step solution

01

Identify and Collect Data

The percentages of distinct types of households in the mentioned areas for the year 2000 are: nonfamily households comprising 29 percent, married with children homes making up 27 percent, married couples without children making up another 29 percent, and single-parent homes making up the remaining 15 percent.
02

Construct Frequency Distribution

Convert the above percentages into a frequency distribution. The result will be a table with two columns - the first is for the category of households and the second displays the corresponding percentage. The table should look like: \n Household Type - Frequency \n Nonfamily - 29% \n Married with children - 27% \n Married without children - 29% \n Single-parent - 15%
03

Create a Bar Chart

The bar chart can be created with household categories on the X-axis and the frequency (in percentage) on the Y-axis. Each household type will be represented by a bar and the height of the bar will be equal to the percentage of the household type.

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!

Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Bar Chart
A bar chart is a visual representation that uses bars to depict values for different categories. It is one of the simplest and most effective tools for displaying categorical data in a way that is easy to understand. In this scenario, it is used to visualize the various types of household compositions in suburban areas. Each type of household, such as nonfamily, married with children, married without children, and single-parent, is represented on the X-axis. The height of each bar on the Y-axis reflects the percentage that this household type represents in the sample data.
Bar charts are advantageous because they allow quick comparison between categories. For instance, we can easily see from the lengths of the bars which household type is most common and which is less frequent. Additionally, using a consistent scale is crucial so that the graphical representation reflects the data accurately without distortion. When constructing a bar chart, ensure each bar is labeled and consider using different colors for more clarity, especially if dealing with a wide range of categories.
Household Types
In the context of this exercise, household types refer to various living arrangements found in suburban areas in the year 2000. These include nonfamily households, married couples with children, married couples without children, and single-parent households. Each of these categories is defined by specific characteristics:
  • Nonfamily Households: These include single professionals or elderly individuals living alone, or any other arrangement not categorized as a family.
  • Married with Children: Households where married partners live with their children.
  • Married without Children: Married couples living together without any children.
  • Single-Parent Homes: A household where a single parent lives with one or more children.
Understanding these categories is crucial because they reflect societal trends and changes in living arrangements over time. For instance, an increase in nonfamily households might indicate changes in societal norms or economic factors influencing living arrangements.
Data Visualization
Data visualization is a powerful tool that turns complex data sets into easily interpretable visuals. It bridges the gap between raw data and insightful information. In the context of this exercise, data visualization involves converting the percentage data of different household types into a frequency distribution and a bar chart. The main goal is to offer clear insights at a glance.
  • Frequency distributions help organize data so that it can be displayed clearly and efficiently.
  • Bar charts then take these organized data points and represent them graphically.
Good data visualization can reveal trends, patterns, and outliers that might not be immediately obvious from the raw data. It improves comprehension and can guide decision-making by presenting the data in a way that highlights important points and comparisons. Particularly in educational settings, using appropriate visual elements can support learning by making abstract concepts more tangible and engaging.

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

Data from a poll conducted by Travelocity led to the following estimates: Approximately \(40 \%\) of travelers check work e-mail while on vacation, about \(33 \%\) take cell phones on vacation in order to stay connected with work, and about \(25 \%\) bring laptop computers on vacation (San Luis Obispo Tribune, December 1, 2005). Are the given percentages population values or were they computed from a sample?

A building contractor has a chance to buy an odd lot of 5000 used bricks at an auction. She is interested in determining the proportion of bricks in the lot that are cracked and therefore unusable for her current project, but she does not have enough time to inspect all 5000 bricks. Instead, she checks 100 bricks to determine whether each is cracked. Describe the population and sample for this problem.

For each of the following situations, give a set of possible data values that might arise from making the observations described. a. The manufacturer for each of the next 10 automobiles to pass through a given intersection is noted. b. The grade point average for each of the 15 seniors in a statistics class is determined. c. The number of gas pumps in use at each of 20 gas stations at a particular time is determined. d. The actual net weight of each of 12 bags of fertilizer having a labeled weight of 50 pounds is determined. e. Fifteen different radio stations are monitored during a 1 -hour period, and the amount of time devoted to commercials is determined for each.

Classify each of the following variables as either categorical or numerical. For those that are numerical, determine whether they are discrete or continuous. a. Number of students in a class of 35 who turn in a term paper before the due date b. Gender of the next baby born at a particular hospital c. Amount of fluid (in ounces) dispensed by a machine used to fill bottles with soda pop d. Thickness of the gelatin coating of a vitamin \(E\) capsule e. Birth order classification (only child, firstborn, middle child, lastborn) of a math major

The article "Brain Shunt Tested to Treat Alzheimer's" (San Francisco Chronicle, October 23 , 2002) summarizes the findings of a study that appeared in the journal Neurology. Doctors at Stanford Medical Center were interested in determining whether a new surgical approach to treating Alzheimer's disease results in improved memory functioning. The surgical procedure involves implanting a thin tube, called a shunt, which is designed to drain toxins from the fluid-filled space that cushions the brain. Eleven patients had shunts implanted and were followed for a year, receiving quarterly tests of memory function. Another sample of \(\mathrm{Al}\) zheimer's patients was used as a comparison group. Those in the comparison group received the standard care for Alzheimer's disease. After analyzing the data from this study, the investigators concluded that the "results suggested the treated patients essentially held their own in the cognitive tests while the patients in the control group steadily declined. However, the study was too small to produce conclusive statistical evidence." a. What were the researchers trying to learn? What questions motivated their research? b. Do you think that the study was conducted in a reasonable way? What additional information would you want in order to evaluate this study?

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.