Venn Diagrams

Venn Diagrams

Sets

A set is a collection of things

For example:

a) sets of numbers

b) sets of sports activities at school

c) sets of musical instruments played by students

Sets

a) sets of number

•Set of whole numbers: {0, 1, 2, 3, 4………}

•Set of prime numbers: {2, 3, 5, 7, 9, 11, 13, 17, 19………}

Sets

b) sets of sports activities at school

•Set of basketball team players

•Set of volleyball team players

Sets

c) sets of musical instruments played by students

•Set of piano players

•Set of guitar players 

Venn Diagram

A Venn diagram shows all the possible ways in which something can be included in or excluded from several sets.

Venn Diagram

Now I want to list the students that wear glasses in the class from these 2 circles

I can show them in a Venn Diagram (intersection of 2 sets)

--> in the middle – Lz, Ba, Ali

Venn Diagram

Now I want to list the students that wear glasses in the class from these 2 circles

I can show them in a Venn Diagram (intersection of 2 sets)

--> in the middle – Mo, To, Ca

Example 1

Open Ended

Which numbers are in set A?

Open Ended

Which numbers are in set B?

Example 2

Multiple Choice

How many students do not like tea or coffee?

• 2

• 7

• 8

• 13

Multiple Choice

How many students like tea and like coffee?

• 2

• 7

• 8

• 13

Multiple Choice

How many students like tea?

• 21

• 13

• 8

• 2

Multiple Choice

How many students like coffee?

• 15

• 8

• 7

• 2

Multiple Choice

How many students are in the class?

• 2

• 30

• 25

• 35

Multiple Choice

How many students like tea but not like coffee?

• 13

• 8

• 7

• 2

Multiple Choice

How many students like coffee but not like tea?

• 13

• 8

• 7

• 2

Example 3

In a class of 24 students:

12 students play the piano

13 students play the guitar

4 students play neither instrument

How many students play both the piano and the guitar?

Using Venn Diagrams to Find Probabilities