Deceptive Graphs. In Exercises 17–20, identify how the graph is deceptive.

Self-Driving Vehicles In a survey of adults, subjects were asked if they felt comfortable being in a self-driving vehicle. The accompanying graph depicts the results (based on data from TE Connectivity).

Short Answer

Expert verified

The graph is deceptive in a way that falsely represents the total number of subjects who said Yes and No since the vertical axis does not begin from zero.

This leads to a wrong interpretation of the fact that the number of subjects who responded No is approximately five times greater than the number of subjects who responded Yes when the actual difference is nearly half.

Step by step solution

01

Given information

A graph depicts the number of respondents who feel comfortable (responded yes) in a self-driving vehicle and the number of subjects who do not (responded No).

02

Describe a deceptive graph

A deceptive graph is one that gives an illusion and provides misleading information about the dataset. A deceptive graph can be observed by a simple observation of the graphs.

03

Identify the traits of the graph

By observing the graph, it seems that there is a huge difference in the number of subjects who responded in affirmation and the number of subjects who responded negatively because the length of the bar corresponding to “No” is much taller than the length of the bar corresponding to “Yes.”

However,the given graph has a vertical scale that does not begin from zero,due to which the difference in the lengths of the bars is expressed greatly.

Observing the values, the number of responses with Yes is 300 and the number of responses with No is close to 700.

Since the vertical axis starts from 200 and not zero, the difference appears to be approximately five times. In reality, the difference in the number of subjects who responded negatively is about 2.5 times greater than the number of subjects who responded positively.

Therefore, the given graph deceives the readers.

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

Categorical Data. In Exercises 23 and 24, use the given categorical data to construct the relative frequency distribution.

Clinical Trial When XELJANZ (tofacitinib) was administered as part of a clinical trial for this rheumatoid arthritis treatment, 1336 subjects were given 5 mg doses of the drug, and here are the numbers of adverse reactions: 57 had headaches, 21 had hypertension, 60 had upper respiratory tract infections, 51 had nasopharyngitis, and 53 had diarrhoea. Does any one of these adverse reactions appear to be much more common than the others? (Hint: Find the relative frequencies using only the adverse reactions, not the total number of treated subjects.)

McDonald’s dinner service times refer to the accompanying table summarizing service times (seconds) of McDonald’s dinners. How many individuals are included in the summary? Is it possible to identify the exact values of all of the original service times?

Table for Exercise 1

McDonald’s Dinner Service Times

Times (sec)

Frequency

60-119

7

120-179

22

180-239

14

240-299

2

300-359

5

Causation A study has shown that there is a correlation between body weight and blood pressure. Higher body weights are associated with higher blood pressure levels. Can we conclude that gaining weight is a cause of increased blood pressure?

Whatever Use the same data from Exercise 7 to construct a Pareto chart. Which graph does a better job of illustrating the data: Pareto chart or pie chart?

Linear Correlation Coefficient In Exercises 9–12, the linear correlation coefficient r is provided. Use Table 2-11 on page 71 to find the critical values of r. Based on a comparison of the linear correlation coefficient r and the critical values, what do you conclude about a linear correlation?

Using the data from Exercise 5 “Brain Volume and IQ,” the linear correlation coefficient is r = 0.127.

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