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8.2

ORGANIZE DATA:

VENN DIAGRAM

MDM - Term 3 Statistics

WARM UP

1. Identify the data in the pie chart as quantitative or categorical.

2. Create a bar graph with the following data:

Pasta: 5

Tacos: 6

Burgers: 8

Other: 6

Age of family members

0-9 yo 10 yo - 18 yo 19 yo - 30 yo

31 yo - 50 yo 51 yo +

OBJECTIVES

Define a Venn diagram

Create a Venn diagram from data

Gather information from a Venn diagram

VENN DIAGRAM

A Venn diagram is a diagram that shows all possible

logical relationships between data sets.

DIFFERENT DIFFERENTSAME

VENN DIAGRAM

This diagram represents which sport people currently play

S = Soccer

T = Tennis SOCCER Alex

Hunter

TENNIS

JadeCasey

Drew

VENN DIAGRAM

1) What does the area in

the middle represent?

SOCCER

Alex

Hunter

TENNIS

JadeCasey

Drew

VENN DIAGRAM

1) What does the area in

the middle represent?

The people who play

soccer AND tennis. SOCCER Alex

Hunter

TENNIS

JadeCasey

Drew

VENN DIAGRAM

2) Explain the difference

between the blue zone

and the teal zone.

SOCCER

Alex

Hunter

TENNIS

JadeCasey

Drew

VENN DIAGRAM

2) Explain the difference

between the blue zone

and the teal zone.

Blue only play tennis where

teal plays both tennis and

soccer.

SOCCER

Alex

Hunter

TENNIS

JadeCasey

Drew

VENN DIAGRAM

In a Venn diagram, all zones collectively make up what

called the union. The union contains all elements of all

relevant zones.

The symbol for union is “∪”

VENN DIAGRAM

In a Venn diagram, the zone that is the overlap is called

the intersection. It is the zone that contains elements of

both the zones that create the overlap.

The symbol for intersection is “∩”

VENN DIAGRAM

3) What elements are in the

following?

S ∪ T

S ∩ T

SOCCER

Alex

Hunter

TENNIS

JadeCasey

Drew

VENN DIAGRAM

3) What elements are in the

following?

Soccer ∪ Tennis

Alex, Hunter, Casey, Drew,

Jade

Soccer ∩ Tennis

Casey, Drew

SOCCER

Alex

Hunter

TENNIS

JadeCasey

Drew

VENN DIAGRAM

This diagram represents which sport people currently play

S = Soccer

T = Tennis

V = Volleyball

SOCCER

Alex

Hunter

TENNIS

Casey

VOLLEYBALL

Glen

Drew

Jade

VENN DIAGRAM

4) What does the area in

the middle represent?

VENN DIAGRAM

4) What does the area in

the middle represent?

The people who play all 3

sports (soccer, tennis, and

volleyball)

VENN DIAGRAM

5) Write a relationship using “∩”, “∪”, and “-” to represent only the following people.

Drew

Jade

All people

VENN DIAGRAM

5) Write a relationship using “∩”, “∪”, and “-” to represent only the following people.

Drew

𝑆 ∩ 𝑉 ∩ 𝑇

Jade

𝑉 ∩ 𝑇 − 𝑆

All people

𝑆 ∪ 𝑉 ∪ 𝑇

VENN DIAGRAM

6) What elements are in the

following?

T - V?

S ∩ V?

VENN DIAGRAM

6) What elements are in the

following?

T - V?

Casey

S ∩ V?

Drew

VENN DIAGRAM

7) Write the numbers 1 to 20

in the correct places.

Even Numbers

Multiples of 5

VENN DIAGRAM

7) Write the numbers 1 to 20

in the correct places.

Even Numbers

Multiples of 5

2, 4, 6, 8, 12,

14, 16, 18

10,

20

5, 15

1, 3, 7, 9, 11, 13, 17, 19

OBJECTIVES

Define a Venn diagram

Create a Venn diagram from data

Gather information from a Venn diagram

HOMEWORK

Assignment 8.2

EDPuzzle 8.2