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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