(50 student sample) Owns a Cell Phone Owns an MP3 Player 27 What do the values in this Venn Diagram...

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13 6 (50 student sample) Owns a Cell Phone Owns an MP3 Player 27 What do the values in this Venn Diagram represent? 3 students______________ Only own a Cell Phone

Transcript of (50 student sample) Owns a Cell Phone Owns an MP3 Player 27 What do the values in this Venn Diagram...

13 6

(50 student sample)

Owns aCell Phone

Owns an MP3 Player

27

What do the values in this Venn Diagram represent?

13 students______________Only own a Cell Phone

13 6

(50 student sample)

Owns aCell Phone

Owns an MP3 Player

27

What do the values in this Venn Diagram represent?

6 students______________Own only an MP3 Player

13 6

(50 student sample)

Owns aCell Phone

Owns an MP3 Player

27

What do the values in this Venn Diagram represent?

27 students______________ Own Both

13 6

(50 student sample)

Owns aCell Phone

Owns an MP3 Player

27 13+27+6=46

What do the values in this Venn Diagram represent?

Why don’t the numbers add up to 50?

50-46 = 44 students

have neither.

Cell Phon

e

No Cell Phone

Total

MP3 Player 27 6

No MP3 Player 13

Total 50

13 627

Cell Phone MP3 Player

50 students surveyed

How can I use a Venn Diagram to create a two way table?

The relationship between a Venn diagram and a two way table

Cell Phon

e

No Cell Phone

Total

MP3 Player 27 6

27+6=33

No MP3 Player 13

Total 50

13 627

Cell Phone MP3 Player

50 students surveyed

The relationship between a Venn diagram and a two way table

Cell Phon

e

No Cell

PhoneTotal

MP3 Player 27 6 33

No MP3 Player 13 50-33

=17Total 50

13 627

Cell Phone MP3 Player

50 students surveyed

The relationship between a Venn diagram and a two way table

Cell Phon

e

No Cell Phone

Total

MP3 Player 27 6 33

No MP3 Player 13

17-13 =4 17

Total 50

13 627

Cell Phone MP3 Player

50 students surveyed

The relationship between a Venn diagram and a two way table

Cell Phon

e

No Cell Phone

Total

MP3 Player 27 6 33

No MP3 Player 13

17-13 =4 17

Total 50

13 627

Cell Phone MP3 Player

50 students surveyed

The relationship between a Venn diagram and a two way table

Cell Phone

No Cell Phone

Total

MP3 Player 27 6 33

No MP3 Player 13 4 17

Total 27+13=40

6+4 =10 50

13 627

Cell Phone MP3 Player

50 students surveyed

The relationship between a Venn diagram and a two way table

Cell Phon

e

No Cell Phone

Total

MP3 Player 27 6 33

No MP3 Player 13 4 17

Total 40 10 50

13 627

Cell Phone MP3 Player

50 students surveyed

Let’s ReviewGuided Practice

Rewrite this Venn diagram as a two way table.

3 1119

Chores

40 students surveyed

Allowance

Chores

No Chores

Allowance No Allowance

TOTAL

TOTAL

193 11

40

22187

1030

Let’s ReviewQuick Quiz

Rewrite this Venn diagram as a two way table.

Dog No Dog Total

Cat

No Cat

Total

38 2110

Dog

80 students surveyed

Cat

Let’s ReviewQuick Quiz

Rewrite this Venn diagram as a two way table.

Dog No Dog Total

Cat 10 21 31

No Cat 38 11 49

Total 48 32 80

38 2110

Dog

80 students surveyed

Cat

ANSWERS!

Emma has collected information about the cats and dogs that children in her class have as pets.

There are 30 pupils. There are 4 possible responses: Has a cat and a dog. Has a cat but not a dog. Has a dog but not a cat. Does not have a cat or a dog.

How do we translate information into a two way table?

Has a

dog

Does not have a

dog

Total

Has a cat 8 4  

Does not have a cat

12  

Total      

When Emma has entered some of her data, the table looks like this: .

Emma has missed one box, but we know that there are 30 pupils in her class. How do we complete the table?

12

20 3018

106

Has a

dog

Does not have a

dog

Total

Has a cat 8 4 12 

Does not have a cat

12 6  18

Total  20  10 30 

 

(a) How many pupils do not have a cat or a dog?

(b) How many pupils have a dog?

(c) How many pupils have a cat?

(d) How many children have at least one of these pets?  

62012

24

Cell Phone No Cell Phone Total

MP3 Player

No MP3 Player

Total

• A survey of 8th graders at a middle school found that 73 students own a cell phone and 60 of those students also own an MP3 player.

• There are 7 students that do not own a cell phone, but own an MP3 player.

• Eight students do not own either device.

73

6013

7 678 2115 88

Let’s ReviewGuided Practice

A survey was conducted to see if students get an allowance and if they have to do household chores.

Of the 12 students that receive no allowance, 5 of them have no chores.

There are 17 students who do chores and receive an allowance, while 6 students get an allowance without doing any chores.

allowanceNo allowance

chores No chores

TOTAL

TOTAL

12 5 7

17 6 23

24 11 35

Let’s ReviewQuick Quiz

8 people have no dog. Of those 8, 2 have no cat either. There are 4 people with a cat and a dog, while 3 students have a dog and no cat.

Dog No Dog Total

Cat

No Cat

Total

How many people were surveyed?

Let’s ReviewQuick Quiz

8 people have no dog. Of those 8, 2 have no cat either. There are 4 people with a cat and a dog, while 3 students have a dog and no cat.

Dog No Dog Total

Cat 4 6 10

No Cat 3 2 5

Total 7 8 15

How many people were surveyed?

ANSWERS!