/*! 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 28 Many adolescent boys aspire to b... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

Many adolescent boys aspire to be professional athletes. The paper "Why Adolescent Boys Dream of Becoming Professional Athletes" (Psychological Reports [1999]: 1075-1085) examined some of the reasons. Each boy in a sample of teenage boys was asked the following question: "Previous studies have shown that more teenage boys say that they are considering becoming professional athletes than any other occupation. In your opinion, why do these boys want to become professional athletes?" The resulting data are shown in the following table: $$ \begin{array}{lc} \text { Response } & \text { Frequency } \\ \hline \text { Fame and celebrity } & 94 \\ \text { Money } & 56 \\ \text { Attract women } & 29 \end{array} $$ $$ \begin{array}{lc} \text { Response } & \text { Frequency } \\ \hline \text { Like sports } & 27 \\ \text { Easy life } & 24 \\ \text { Don't need an education } & 19 \\ \text { Other } & 19 \\ & \\ \hline \end{array} $$ Construct a bar chart to display these data.

Short Answer

Expert verified
To construct the bar chart, start by labeling the x-axis with the responses ('Fame and celebrity' etc) and the y-axis with the frequency. For each response, draw a bar that reaches up to its frequency on the y-axis. Label the chart and review for accuracy.

Step by step solution

01

Understand the data

First, it's important to understand the data. We have 8 different responses that teenage boys gave when asked why they want to become professional athletes, with the number of boys who gave each response.
02

Organize the data

Next, organize the data for easy reference. The responses will be displayed on the x-axis, and the frequencies will be displayed on the y-axis. The responses include 'Fame and celebrity', 'Money', 'Attract women', 'Like sports', 'Easy life', 'Don't need an education', and 'Other'.
03

Plot the data

Now, plot the data on the chart. For example, plot a bar that represents 'Fame and celebrity' which reaches up to 94 on the y-axis, because the frequency for 'Fame and celebrity' is 94. Repeat this process for the rest of the data points.
04

Label the chart

After plotting the data, provide a title for the chart, label the x-axis with 'Reasons for wanting to become professional athletes', and the y-axis with 'Number of responses'.
05

Review the chart

Finally, review the chart for accuracy. Ensure that all bars are correctly plotted according to their frequencies, and all labels are clear and accurate.

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 great way to visually represent data, allowing you to see differences between categories at a glance. In this case, the data represents the reasons teenage boys aspire to become professional athletes. Each reason given by the boys serves as a category on the x-axis. On the y-axis, the frequencies or number of boys who gave each response is displayed.

To create the bar chart, you first need to list all responses like this:
  • 'Fame and celebrity'
  • 'Money'
  • 'Attract women'
  • 'Like sports'
  • 'Easy life'
  • 'Don't need an education'
  • 'Other'
Each of these responses will have a corresponding bar on the chart. The height of each bar will reflect the data value or frequency, such as 94 for 'Fame and celebrity'.
Each bar is parallel and spaced out evenly to ensure clarity. Labels should be clear and concise, with the chart’s title indicating the overall theme. This visualization process helps in promptly interpreting the survey data by highlighting which responses were most frequent among the boys.
Data Interpretation
Interpreting data from a bar chart involves analyzing the visual elements to draw conclusions. With this exercise, the most immediate insight is which reasons for wanting to become a professional athlete are the most common among the surveyed boys.

To interpret the bar chart effectively:
  • Begin by observing which bar is the tallest, indicating the most common reason.
  • Notice the other bars' heights relative to the tallest. This helps assess the popularity of each reason comparatively.
  • Pay attention to any standout patterns, such as many boys attributing their aspirations to fame or financial reasons.

From this analysis, one might conclude that fame and financial gain are the driving forces behind these aspirations. By looking closer at the "Other" category, you can explore less commonly stated reasons, offering nuanced insights into the motivation of these individuals. Ultimately, interpreting the chart allows educators and psychologists to gather valuable information about these societal influences.
Survey Analysis
Survey analysis is crucial for understanding the collected data and making data-driven decisions or generalizations. The survey in this exercise asks boys why they want to become professional athletes, with the answers analyzed and presented on the bar chart.

Analyzing surveys involves:
  • Collecting responses across a diverse sample to ensure reliability.
  • Categorizing responses to facilitate visual representation and analysis.
  • Reviewing data for anomalies or outliers that may affect results.

When reviewing this specific survey data, it's essential to ask what these motivations reveal about adolescent priorities and perceptions. Recognizing the emphasis on fame or financial gain might suggest cultural or media influences.
Additionally, by identifying the prevalence of certain responses, educators can tailor their approach in helping students distinguish between dreams and realistic career options. Proper survey analysis, combined with visualization through charts, enriches understanding and informs cultural or educational policies.

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

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.

USA Today compared the average graduation rates for male football and basketball scholarship players at top-ranked universities. The graduation rates were expressed as a difference between the graduation rate for scholarship athletes and the university's overall graduation rate for men. A positive number means that the athletes had a graduation rate higher than the overall graduation rate \((+2\) means \(2 \%\) higher) and a negative number means the athletes had a lower graduation rate than the overall graduation rate \((-2\) means \(2 \%\) lower). Using the same scale, construct a dotplot of the graduation rate differences for football players and a dotplot for the graduation rate differences for basketball players. Comment on the similarities and differences in the two plots. $$ \begin{array}{lr} \text { Football } \\ \hline & \begin{array}{l} \text { Difference } \\ \text { from overall } \\ \text { graduation } \end{array} \\ \text { School } & \text { rate } \\ \text { Nebraska } & +8 \\ \text { Kansas State } & +6 \\ \text { Arizona State } & 0 \\ \text { Penn State } & -2 \\ \text { Georgia } & -2 \\ \text { Purdue } & -4 \\ \text { Iowa } & -4 \\ \text { Florida State } & -9 \\ \text { Southern Cal } & -10 \\ \text { Miami } & -11 \\ \text { LSU } & -12 \\ \text { Notre Dame } & -13 \\ \text { Ohio State } & -13 \\ \text { Tennessee } & -13 \\ \text { Virginia } & -14 \\ \text { N.C. State } & -14 \\ \text { Oklahoma } & -14 \\ \text { Auburn } & -19 \\ \text { Virginia Tech } & -20 \\ \text { Colorado } & -21 \\ \text { Wisconsin } & -21 \\ \text { Florida } & -24 \\ \text { Pittsburgh } & -24 \\ \text { Texas } & -26 \\ \text { Michigan } & -35 \\ & \\ \hline \end{array} $$ $$ \begin{array}{lc} \text { Basketball } \\ \hline & \begin{array}{l} \text { Difference } \\ \text { from overall } \\ \text { graduation } \end{array} \\ \text { School } & \text { rate } \\ \text { Butler } & +29 \\ \text { Kansas } & +20 \\ \text { Dayton } & +12 \\ \text { Stanford } & +9 \\ \text { Xavier } & -1 \\ \text { Marquette } & -8 \\ \text { Michigan State } & -10 \\ \text { Creighton } & -17 \\ \text { Florida } & -23 \\ \text { Duke } & -25 \\ \text { Texas } & -26 \\ \text { Arizona } & -27 \\ \text { Illinois } & -29 \\ \text { Wisconsin } & -29 \\ \text { Notre Dame } & -30 \\ \text { Syracuse } & -32 \\ \text { Maryland } & -33 \\ \text { Connecticut } & -38 \\ \text { Wake Forest } & -39 \end{array} $$

In a survey of 100 people who had recently purchased motorcycles, data on the following variables was recorded: Gender of purchaser Brand of motorcycle purchased Number of previous motorcycles owned by purchaser Telephone area code of purchaser Weight of motorcycle as equipped at purchase a. Which of these variables are categorical? b. Which of these variables are discrete numerical? c. Which type of graphical display would be an appropriate choice for summarizing the gender data, a bar chart or a dotplot? d. Which type of graphical display would be an appropriate choice for summarizing the weight data, a bar chart or a dotplot?

The supervisors of a rural county are interested in the proportion of property owners who support the construction of a sewer system. Because it is too costly to contact all 7000 property owners, a survey of 500 owners (selected at random) is undertaken. Describe the population and sample for this problem.

"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 (e.g. 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).

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.