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Analyzing Misleading Graphs

A Grade 12 math worksheet on identifying and analyzing misleading graphs, focusing on common techniques used to distort data representation.

Grade 12 Math Data and GraphingMisleading Graphs
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Includes

3 Short AnswerFill in the BlanksMultiple ChoiceTrue / FalseMatching

Standards

CCSS.MATH.CONTENT.HSS.ID.B.6CCSS.MATH.CONTENT.HSS.IC.B.5

Topics

misleading graphsdata analysisstatisticsgraph interpretationgrade 12 math
9 sections · Free to use · Printable
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Analyzing Misleading Graphs

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Date:

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Carefully read each question and analyze the provided graphs. Identify any misleading elements and explain how they distort the data. Answer all questions thoroughly.

1. Examine the bar graph below. What is the most obvious way this graph is misleading? Explain your reasoning.

Company X Sales Over 4 Quarters05010015020025070Q190Q2120Q3150Q4

2. When a graph's y-axis does not start at zero, it can create a false impression of a larger   or   in data.

3. Which of the following is NOT a common technique used to create a misleading graph?

a

Manipulating the y-axis scale

b

Using inconsistent intervals on axes

c

Clearly labeling all axes and units

d

Cherry-picking data to display

4. Describe a scenario where a company might intentionally use a misleading graph to present its sales data in a more favorable light.

5. A pie chart showing percentages that do not add up to 100% is considered a misleading graph.

T

True

F

False

6. Below are two representations of the same data. Explain how Graph B is misleading compared to Graph A.

Graph A: Monthly Website Visitors0100200300400500100Jan200Feb300Mar400Apr
Graph B: Monthly Website Visitors90190290390490100Jan200Feb300Mar400Apr

7. Match the misleading technique with its description.

1. Truncated Y-axis

 

a. Only showing data that supports a particular argument.

2. Cherry-picking Data

 

b. Starting the vertical axis at a value other than zero.

3. Disproportionate Sizing

 

c. Using 3D effects or images that distort perceived magnitudes.