Download - (50 student sample)
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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
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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
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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
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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.
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Cell Phon
eNo Cell Phone Total
MP3 Player 27 6
No MP3 Player 13Total 50
13 627
Cell Phone MP3 Player
50 students surveyed
How can I use a Venn Diagram to create a two way table?
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The relationship between a Venn diagram and a two way table
Cell Phon
eNo Cell Phone Total
MP3 Player 27 6 27+6
=33No MP3 Player 13Total 50
13 627
Cell Phone MP3 Player
50 students surveyed
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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
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The relationship between a Venn diagram and a two way table
Cell Phon
eNo Cell Phone Total
MP3 Player 27 6 33
No MP3 Player 13 17-13
=4 17Total 50
13 627
Cell Phone MP3 Player
50 students surveyed
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The relationship between a Venn diagram and a two way table
Cell Phon
eNo Cell Phone Total
MP3 Player 27 6 33
No MP3 Player 13 17-13
=4 17Total 50
13 627
Cell Phone MP3 Player
50 students surveyed
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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 17Total 27+13
=406+4 =10 50
13 627
Cell Phone MP3 Player
50 students surveyed
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The relationship between a Venn diagram and a two way table
Cell Phon
eNo Cell Phone Total
MP3 Player 27 6 33
No MP3 Player 13 4 17Total 40 10 50
13 627
Cell Phone MP3 Player
50 students surveyed
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Let’s ReviewGuided Practice
Rewrite this Venn diagram as a two way table.
3 1119
Chores
40 students surveyed
Allowance
ChoresNo Chores
Allowance No Allowance
TOTAL
TOTAL
193 11
40
22187
1030
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Let’s ReviewQuick Quiz
Rewrite this Venn diagram as a two way table.
Dog No Dog TotalCat
No CatTotal
38 2110
Dog
80 students surveyed
Cat
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Let’s ReviewQuick Quiz
Rewrite this Venn diagram as a two way table.
Dog No Dog TotalCat 10 21 31
No Cat 38 11 49Total 48 32 80
38 2110
Dog
80 students surveyed
Cat
ANSWERS!
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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?
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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
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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
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Cell Phone No Cell Phone Total
MP3 Player
No MP3 PlayerTotal
• 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
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Let’s ReviewGuided PracticeA 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
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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 TotalCat
No CatTotal
How many people were surveyed?
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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 TotalCat 4 6 10
No Cat 3 2 5Total 7 8 15
How many people were surveyed?
ANSWERS!