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Lies, More Lies, and Statistics

By: Brink Harrison


Time: One class period
Preparation Time: 5-10 min copying overheads
Materials: Avoid 3-D Overhead
Traffic Fatalities Overhead
World On Line Overhead
Incomes of Doctors Overhead
Most Misleading Overhead
Inconsistent Scales Overhead

Abstract
Students will distort graphs to skew the interpretation of data. They will also see examples of other distorted graphs, which allow for different interpretations of the same data and hopefully will not be mislead by graphs in the future.


Objectives

Students will be able to:-

i. Recognize when a graph has been distorted by various techniques
ii. Create two graphs from the same data which would lead to differing interpretations of the data


National Science Education Standards
Data Analysis and Probability
Formulate questions that can be addressed with data and collect, organize, and display relevant data to answer them



Teacher Background
See attached sheets


Related and Resource Websites
http://www.virtualsalt.com/think/vislit1.htm
http://www.sociology.ohio-state.edu/classes/soc549/vonhippel/
http://www.math.yorku.ca/SCS/Gallery/context.htm
http://www.math.yorku.ca/SCS/Gallery/images/wainer/doctors1.gif

 

 

Activity
1. Start class with a quick review of yesterday’s lesson: Yesterday you were reading and interpreting graphs to get information to answer some questions. Being able to read a graph is similar to reading a book, it gives you power to make your own decisions. Unfortunately, just as some books give you slanted opinions or information that could best be described as propaganda, some graphs present distorted data in the hope of getting you to reach the same decision as the person who made the graph. If you know what to look for--and look out for--graphs can be very useful to you. If you are not careful, though, they can be very manipulative. Graphs must be viewed carefully for the following reasons:

• Graphs have more impact than tables or "raw" data because graphs are visual. They can bypass the analytic part of your brain unless you take care to look closely.

• Graphs represent interpretations of data. When the data has been specially selected, then the graph represents an interpretation of selected data.

• A given set of data can be plotted to create almost any impression. Because of the techniques available for constructing a graph, a graph may show a dramatic trend upward or downward when in fact the data do not support such an apparent change.

• The person who draws the graphs influences the impact of the information and thus influences the decision to be made from the graphs.


Source: http://www.virtualsalt.com/think/vislit1.htm

2. A list of common distortions the students might see in graphs follows. Discuss each case with students.

• False perspective. (Put up the Avoid 3-D overhead to demonstrate False Perspective)

o Tilting a pie chart
o Making 3-D representations of data that is better represented in 2-D

• Leaving out important data. (Put up the Traffic Fatalities Overhead to demonstrate how leaving out the earlier years makes a stronger case for enforcing stricter motorist laws in order to reduce the number of fatalities.)

• Adding extraneous data. (Put up the World On Line Overhead to demonstrate how shifting the horizontal axis to February made WOL look better, i.e. not showing such a sudden drop, even though there was no stock market quotation for WOL until March)

• Using different horizontal scale units. (Put up the Incomes of Doctors Overhead to demonstrate how using different horizontal scale units change the presentation of data.)

• Not putting in scales on either axis or combining two graphs, which have different scales, into one graph. (Put up the Most Misleading Graph Overhead to demonstrate this)

• Inconsistent scales/different starting points for the scale. (Put up the Inconsistent Scales Overhead to demonstrate this.)

The list of has been adapted from: http://www.sociology.ohio-state.edu/classes/soc549/vonhippel/

3. Either in class or for homework, have the students create two different graphs for each set of data: one that exaggerates the difference (smaller value per vertical unit) and another that does not exaggerate the difference (larger value per vertical unit)

Embedded Assessment
Informal discussion as the students look at the examples of distorted graphs will help you assess their understanding of the concept.

 

 

 

PULSE is a project of the Community Outreach and Education Program of the Southwest Environmental Health Sciences Center and is funded by:


an
NIH/NCRR award #16260-01A1
The Community Outreach and Education Program is part of the Southwest Environmental Health Sciences Center: an NIEHS Award

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LOGO - NIEHS Center LOGO - NIEHS

Supported by NIEHS grant # ES06694


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