Question 1

Which of the following is a common way that a bar graph can be manipulated to exaggerate differences between groups?

Accepted Answer

By starting the Y-axis at a value greater than zero

Question 2

A graph shows the world population over time, but the intervals on the horizontal axis are not uniform. What is the likely effect of this misrepresentation?

Accepted Answer

It can make the growth appear more linear or more dramatic than it actually is

Question 3

Why are three-dimensional pie charts considered misleading in statistical presentations?

Accepted Answer

They exaggerate the size of categories closer to the viewer

Question 4

A bar graph comparing hospital performance starts its Y-axis at 90% instead of 0%. What is the statistical implication of this choice?

Accepted Answer

It exaggerates the differences between hospitals

Question 5

If a graphic uses the area of a shape (such as a soccer ball) to represent a percentage increase, but the area increases by 300% while the actual data only increased by 40%, what is the error?

Accepted Answer

The graphic misleads by using area instead of height to represent the increase

Question 6

Which of the following best describes the effect of exploding and emphasizing a slice in a 3D pie chart?

Accepted Answer

It visually exaggerates the importance of that category

Question 7

A news article presents a bar graph of monthly burglaries, but the July-August bar represents a sum for two months, while the other bars represent monthly averages. What is the main issue with this graph?

Accepted Answer

It compares non-equivalent quantities, misleading the viewer

Question 8

Suppose a line graph shows a sharp increase in a variable, but the vertical scale is very narrow (e.g., from 48% to 52%). What is the likely effect on the viewer?

Accepted Answer

The increase will appear much more dramatic than it actually is

Question 9

Which of the following is a best practice to avoid misleading readers when creating a bar graph?

Accepted Answer

Start the Y-axis at zero

Question 10

A graph shows two hospitals with satisfaction rates of 92% and 96%. The Y-axis starts at 90%. What is the perceived difference, and what is the actual difference?

Accepted Answer

The perceived difference is exaggerated; the actual difference is only 4%

Question 11

If a time series graph uses non-uniform intervals on the X-axis, what statistical error might occur?

Accepted Answer

It can distort the apparent rate of change over time

Question 12

Which of the following is NOT a common way to misrepresent data in a graph?

Accepted Answer

Using a consistent and clearly labeled scale

Question 13

A pie chart is used to show educational attainment, but the 3D effect makes 'Some college, no degree' appear larger than 'Graduate or Professional Degree,' even though the latter is a larger percentage. What is the main issue?

Accepted Answer

The 3D effect distorts the perceived size of the slices

Question 14

A misleading graph uses a soccer ball's area to represent participation rates, but the area increases by a factor of 4 while the actual increase is only 40%. What mathematical principle is being violated?

Accepted Answer

Proportionality between area and the data being represented

Question 15

Which formula would you use to calculate the percentage increase in participation from 1991 to 2009 if the values were 100 and 140, respectively?

Accepted Answer

$$ 	ext{Percentage Increase} = \frac{140 - 100}{100} 	imes 100\% $$

Question 16

A graph shows a dramatic increase in a variable, but the vertical axis only covers a small range of values. What is the best way to correct this misrepresentation?

Accepted Answer

Expand the vertical axis to include zero

Question 17

Which of the following is a real-world consequence of misrepresenting data in a graph?

Accepted Answer

It can lead to incorrect policy decisions based on exaggerated differences

Graphical Misrepresentations of Data (Section 2.3) – Study Notes

Study Guide - Practice Questions

Study Guide - Flashcards