Venn Diagram and Two Way Tables

Venn Diagrams

Mr. Donnelly

Multiple Choice

How many senior boys play football and wrestle?

• 9
• 12
• 18
• 39

Two Way Table Introduction

Two Way Table 1

The question asks what percent of girls have blonde hair. In order to determine a percent, I must first know the total number of girls. Add the numbers in the "girl column" 5+6+8+1=20 total girls. The number of girls with blonde hair is 6. To find a percent we say part divided by whole (total) so 6/20=.3 To change to a percent, move the decimal two places to the right and the answer is 30% of the girls have blonde hair.

Multiple Choice

How many senior boys play football but do not wrestle?

• 9
• 12
• 18
• 104

Calculating from a word problem.

The question tells me I have a total of 25 students. 80% have an A average, but the question is asking how many students DO NOT HAVE AN A AVERAGE. Always make sure you answer the question being asked. We know that 100% makes up a total amount...it means all of! So if 80% have an A average, then 20% DO NOT have an A average, because 100-80=20. Now take .20 x 25 ( that is 25% of 25 students) and you get your answer...5 students do not have an A average.

2 Way Table-Be careful...answer the question being asked :)

The question is asking you to find the group that liked action movies the LEAST! Look under the Action column and find the smallest number.You will find it was the age group 18-25.

Multiple Choice

How many students took the survey?

• 32
• 47
• 53
• 56

Relative Frequency...how often does something occur?

The question is asking asking only about boys. Remember, to find a percent take the part divided by the whole. The whole would be the total number of boys...in this case,11. We want to know how many can't bike to school...that number is 4. So I say 4/11=.3636.. Move the decimal two places to the right and round to the nearest whole number. Approximately 36% of the boys cannot ride a bike to school.

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​Union

Multiple Choice

The table shows incomplete info about customers' orders in a cafe. How many women visited the cafe in total?

• 37

• 15

• 22

• 12

Multiple Choice

How many students do not snowboard?

• 21
• 22
• 28
• 29

Multiple Choice

How many total people were surveyed?

• 224

• 448

• 131

• 146

​

​Intersection

Multiple Choice

What percentage of SUV's are driven by women?

• 56.25%

• 75%

• 83.25%

• 86.5%

Multiple Choice

Identify the shaded area...

• A

• B

• A'

• B'

Multiple Choice

How many children prefer vanilla ice cream?

• 78

• 131

• 26

• 105

Multiple Choice

What section is shaded?

• A

• B

• $$A\cup B$$  

• $$A\cap B$$  

Multiple Choice

How many adults took this survey?

• 52

• 41

• 93

• 131

Multiple Choice

Identify the shaded area...

• A∩B

• A∪B

• A'∩B'

• A'∪B'

Multiple Choice

What was the most popular party type?

• Bowling
• Skating
• Dancing
• Total

Multiple Choice

What section is shaded?

• A

• B

• $$A\cup B$$  

• $$A\cap B$$  

Multiple Choice

What percentage of males drive sports cars?

• 35%
• 16.25%
• 65%
• 25%

Multiple Choice

Identify the shaded area...

• A∩B

• A∪B

• A'∩B'

• A'∪B'

Multiple Choice

Identify the shaded area...

• A∩B

• A∪B

• A'∩B'

• A'∪B'

Example

On the 2 side walls there is a scenario, look which section you are under. What kind of even is this, disjointed or overlapping?

​January to July

August to December

Multiple Choice

The diagram shows the sports played by 80 students.

If a student is picked at random, what is the probability that they play football only?

• ⁶⁶/₈₀

• ⁴/₈₀

• ¹⁸/₈₀

• ⁴⁹/₈₀

Example

On the 4 walls there is a new scenario, look which section you are under. What kind of even is this, disjointed or overlapping?

​January to July

Birthday 1st 15 days of Jan. to July

Multiple Choice

The diagram shows the sports played by 80 students.

If a student is picked at random, what is the probability that they play all three sports?

• ³¹/₈₀

• ⁴⁵/₈₀

• ⁶²/₈₀

• ⁶⁷/₈₀

​150 college freshmen were interviewed. 85 were registered for a Math class, 70 were registered for an English class,50 were registered for both Math and English.

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Example

​Math

​English

In a class of 30 students, 19 are studying French, 12 are studying Spanish and 7 are studying both French and Spanish. How many students are not taking any foreign languages?

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Draw on Dry Erase Board

​French

​Spanish

Stroudsburg middle school awarded 21 medals to students who excelled in art and 35 medals to students for proficiency in dramatics. Fifteen students received medals in both the categories. Represent the data in a Venn diagram.

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Draw on Dry Erase Board

Art

Dramatics

Multiple Choice

How many students like skiing or volleyball?

• 12

• 48

• 14

• 33

• 63

Fill in the Blank

How many students like none of the sports?

Fill in the Blank

How many students like all three sports?

Fill in the Blank

How many students were surveyed

​

A method to display to types of data. ​

Multiple Choice

How many male students studied French?

• 18

• 13

• 24

• 17

Multiple Choice

How many female students studied a language?

• 31

• 41

• 30

• 42

We are going to have to fill in the missing numbers using the "clues" that are provided.

The total number of Drama students is 27. 13 was the number of boys in the Drama column, so 13 girls are in Drama

Multiple Choice

How many people purchased no food and no drink?

• 60
• 10
• 20
• 200

Multiple Choice

How many Males have Masters/Doctoral Degree?

• 16

• 3

• 46

• 62

Multiple Choice

How many Bachelor's Degrees were given?

• 46

• 51

• 97

• 5

Multiple Choice

This table shows the number of female and male students in each science class. How many students are taking biology?

• 18

• 8

• 80

• 26

Multiple Choice

How many athletes were surveyed in all?

• 50

• 150

• 100

• 200