Misleading Graphs and Statistics 10-8 Warm Up Warm Up Lesson Presentation Lesson Presentation...

Misleading Graphs and Statistics10-8

Warm UpWarm Up

Lesson PresentationLesson Presentation

Problem of the DayProblem of the Day

Lesson QuizzesLesson Quizzes


Warm Up

1. How many students like oranges?

40

Kiwi

90

Use the graph for problems 1-3.

2. What is the least-liked fruit?

3. How many students answered the survey?


Problem of the Day

Create a data set with five values that will have a mean of 20, a median of 18, and a mode of 15.

Possible answer: 15, 15, 18, 19, 33


Extension of MA.8.S.3.1 Select, organize and construct appropriate data displays…to convey informationand make conjectures about possible relationships.

Sunshine State Standards


Graphs and statistics are often used to make advertisements visually appealing. Some advertisements, however, use art to mislead consumers.


Additional Example 1A: Identifying Misleading Graphs

Explain why each graph is misleading.

The intervals used on the vertical axis are not equal.


Additional Example 1B: Identifying Misleading Graphs


The icons represent different quantities of food and are different sizes.


Check It Out: Example 1AExplain why each graph is misleading.

0

10

20

30

40

50

60

1 2 3 4 5* 6** projected

% of Return on Investment

The graph suggests that the rate of investment return will continue to increase, but there are no guarantees


Check It Out: Example 1B


140

142

144

146

148

150Preferred Juice Flavors

Grape Cherry Apple

The graph appears to indicate that significantly more people prefer grape drink over the others when in fact there is a small margin of difference. (0 to 140 is not graphed)


Check It Out: Example 1C


0

20

40

60

80

100

120

Brand X Brand Y Brand Z

Drink Sales This graph is too compressed to see much difference between the brands indicating that they are fairly equal.

No data from 50 to 120


Additional Example 2: Identifying Misleading Statistics

Explain why each statistic is misleading.

A. Four out of five dentists surveyed preferred UltraClean toothpaste.

This statement does not give the sample size or state what UltraClean toothpaste was compared with.

B. Shopping at Save-a-Lot can save you up to $100 a month!

The words save up to $100 mean that the maximum you can save is $100, but there is no guarantee that you will save that amount.


Additional Example 2: Identifying Misleading Statistics


C. Sam scored 43 goals for his soccer team during the season, and Jacob scored only 10. A reporter claims that Sam is a better player than Jacob.

Although Jacob scored only 10 goals, he may have played most of his time on defense.



Check It Out: Example 2

A. Four out of five breeders recommend Pet Blend dog food for a healthier coat.

This statement does not give the sample size or state what Pet Blend dog food was compared with.

B. Fruity Squares makes the cereal 100% more fun.

You cannot measure how much fun Fruity Squares makes the cereal.



C. The total revenue for bathing suits sold in May at Worthman’s Florida stores is 250,000. The total revenue for bathing suits sold in May at Worthman’s North Dakota stores is 10,000.

The states have different populations and climates.

Check It Out: Example 2


Standard Lesson Quiz

Lesson Quizzes

Lesson Quiz for Student Response Systems


Lesson Quiz: Part I

Possible answer: The difference in size between the car and truck symbols distorts the comparison.

1.

Explain why each graph or statistic is misleading


Lesson Quiz: Part II

2. A budget area of a used-car lot has five cars on it, with prices of $4200, $4700, $4900, $5200, and $900 (a wrecked one). The car ad in the local paper reads “Average priced car on budget lot is $3980.”

Only one car is less than the average price.

Explain why each graph or statistic is misleading


1. Explain why the graph is misleading.

A. There are more number of apples than oranges.

B. There are more number of oranges than apples.

C. The difference in the size between the apple and orange symbols distorts the comparison.

D. The difference in the size between the apple and orange symbols makes it easier for comparison.



2. Explain why the statistic is misleading.Tim scored 6, 1, 1, 2, 1, 1 goals during a football season. He told his friends that he scored an average of 2 goals per match.

A. The differences in the scores are too small.

B. His actual average is 3 goals per match.

C. Sample size is too small.

D. He scored more than 2 goals in only one match.


Misleading Graphs and Statistics 10-8 Warm Up Warm Up Lesson Presentation Lesson Presentation...

Documents

Transcript of Misleading Graphs and Statistics 10-8 Warm Up Warm Up Lesson Presentation Lesson Presentation...