Venn Diagrams & Venn Diagrams & Circle Graphs & Line GraphsCircle Graphs & Line Graphs

Collect dataCollect data

Find the percent of each categoryFind the percent of each category

Find the measure of the central angle for Find the measure of the central angle for each categoryeach category

Use a protractor to make the circle graphUse a protractor to make the circle graph

To make a circle graph:To make a circle graph:

Are you good Are you good at fractions?at fractions?

TallyTally FrequencyFrequency

YesYes

NoNo

SometimesSometimes

Yes =Yes =

No =No =

Sometimes =Sometimes =

Find the percent of each category Find the percent of each category (100% total):(100% total):

Find the measure of each central Find the measure of each central angle (360angle (360° total)° total)::

YesYes

NoNo

SometimesSometimes

Use a protractor to make the circle Use a protractor to make the circle graph:graph:

Venn Diagram ExampleVenn Diagram ExampleSurvey of 50 people who have a pet. 24 people have a Survey of 50 people who have a pet. 24 people have a dog. 18 people have a cat. 12 people have fish. 4 dog. 18 people have a cat. 12 people have fish. 4 people have fish and a cat. 1 person has a fish and a people have fish and a cat. 1 person has a fish and a dog. 3 people have a dog and a cat. 5 people have a dog. 3 people have a dog and a cat. 5 people have a fish, a cat and a dog. How many people don’t have any fish, a cat and a dog. How many people don’t have any of these pets?of these pets?

Cat

Fish

Dog

______

___

___

___ ___

___

Line GraphLine Graph

Consists ofConsists of

paired values graphed as points on a paired values graphed as points on a plane defined by an plane defined by an xx- and - and yy-axis;-axis;

line segments connecting the graphed line segments connecting the graphed points (much like a dot-to-dot).points (much like a dot-to-dot).

Works well whenWorks well when

the data is paired (bi-variate);the data is paired (bi-variate);

the data is continuous.the data is continuous.

Line Graph ExampleLine Graph Example

John weighed 68 kg in 1991, 70 kg in 1992, 74 kg in 1993, 74 kg in 1994, and 73 kg in 1995.

65

66

67

68

69

70

71

72

73

74

75

1991 1992 1993 1994 1995

Year

Joh

n's

Wei

gh

t in

Kilo

gra

ms

Advantages of Line GraphsAdvantages of Line GraphsA line graph is a way to summarize how two A line graph is a way to summarize how two pieces of information are related and how they pieces of information are related and how they vary depending on one another.vary depending on one another.

Disadvantages of Line GraphsDisadvantages of Line Graphs

Changing the scale of either axes can Changing the scale of either axes can dramatically change the visual impression of the dramatically change the visual impression of the graph.graph.