what does misleading mean? to lead in the wrong direction. to manipulate statistics without lying....

What does misleading mean?

•To lead in the wrong direction.

•To manipulate statistics without lying.

•Misleading = Dishonesty

•To intentionally deceive someone.

Salaries Stable!!

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5000

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ryMrs. Long’s Salaries

Salaries Rising!!

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35000

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ary

Mrs. Long’s Salaries

What is the difference between the two graphs?

Do these two graphs appear to show the same information?

Why do you think someone would want to present the same information in different ways?

Salaries Rising!!

34000

34500

35000

35500

36000

1 2 3 4 5 6

Year

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ry

Salaries Stable!!

0

5000

10000

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20000

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30000

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ryMrs. Long’s Salaries Mrs. Long’s Salaries

A Day's Activities

2

4

6

8

10

Sleep Eat School Homework Play

Activity

Hour

s

A Day's Activities

02468

10

Activity

Hou

rs

Key = or = 5 pets

Which pet is most popular?

What is misleading about this bar graph?

Batting Average

050

100150200250300350400

2004 2003 2002 2001 2000 1999 1998

Year

Ave

rage

Batting Average

050

100150200250300350400

1998 1999 2000 2001 2002 2003 2004

Year

Ave

rage

What eye color is the most frequent?

Eye Color

Blue

Hazel

Brow n

Green

Eye Color

Blue

Hazel

Brow n

Green

Eye Color

Blue27%

Hazel36%

Brown28%

Green 9%

Why would someone want to mislead you?

• To make it appear that they are correct.

• Change the way the data is interpreted

• To persuade someone

• To influence an opinion

Ways to Manipulate Statistics

• Change the values on the x- or y-axis.

• Do not start the graph at zero.

• Use different bar widths on a bar graph

• Change the way you conduct your survey– Example: Survey only 6th graders when you

are collecting data on the height of middle school students at IMS.

– Survey’s should be random.

Try the examples in your notes..

• Which graph should the governor use to support his argument?

• Which graph should the governor's opponent use?

The line graph on the left

The line graph on the right

• How many calories are in a slice of pizza from Mario’s?

• How many calories are in a slice of pizza from Pizza Queen?

• Is this bar graph

misleading?

Explain.

120 calories

124 calories

Yes

• How is this graph misleading?

• How could you redraw the graph so it would not be misleading?

The y-axis scale does not have equal spacing

Draw the y-axis scale starting at 0 with equal spacing so

that the distance between 0 and 18,000 equal distance

between 18,000 and 36,000.

• How is this graph misleading?

• How could you redraw the graph so it would not be misleading?

The y-axis scale has a break so the differences in jump distances appear greater

Draw the y-axis scale starting at 0 and continuing to 7.5

using equal spacing.

Mon Tue Wed Thu Fri

13 12 11 10

Taxicab Fares

Fare

($

)

• How is this graph misleading?

• How could you redraw the graph so it would not be misleading?

Draw the y-axis scale starting at 0 and continuing to 7.5

using equal spacing.

The y-axis scale has a break so the differences in fare appear greater.

Water Consumed

48

40

32

24

16Mark Frank Mila Yvonne

Ounce

s of

Wate

r

• How is this graph misleading?

• How could you redraw the graph so it would not be misleading?

The y-axis scale does not start at zero so the differences in water consumed seem greater.

Draw the y-axis scale starting at 0 and continuing to 48

using equal spacing.

Exit Ticket Quiz

Explain why each graph could

be misleading and why.

Misleading Activity

• Use the given data to make a

misleading graph

Gallery Walk

• Walk around and observe each misleading graph.

• Choose one graph (not your groups’)

• On a separate sheet of paper:– Explain how that group made their graph

misleading.