SORTING DATA VENN DIAGRAMS.

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Presentation transcript:

SORTING DATA VENN DIAGRAMS

A VENN DIAGRAM IS USED TO SORT THINGS Even numbers Multiples of 3 These numbers needed to be sorted into multiples of 3 and even numbers 3 5 7 10 13 15 18 24 25 27 30 36 40 50

A VENN DIAGRAM IS USED TO SORT THINGS Even numbers Multiples of 3 Multiples of 3 go inside this circle 3 5 7 10 13 15 18 24 25 27 30 36 40 50

A VENN DIAGRAM IS USED TO SORT THINGS Even numbers Multiples of 3 Even numbers go inside this circle 3 5 7 10 13 15 18 24 25 27 30 36 40 50

Numbers that are multiples of 3 and even numbers go here... A VENN DIAGRAM IS USED TO SORT THINGS Even numbers Multiples of 3 Numbers that are multiples of 3 and even numbers go here... ...because they belong to both circles. 3 5 7 10 13 15 18 24 25 27 30 36 40 50

Numbers that are not multiples of 3 and not even, stay on the outside. A VENN DIAGRAM IS USED TO SORT THINGS Even numbers Multiples of 3 Numbers that are not multiples of 3 and not even, stay on the outside. 3 5 7 10 13 15 18 24 25 27 30 36 40 50

A VENN DIAGRAM IS USED TO SORT THINGS Multiples of 5 Multiples of 3 We need to sort these numbers into either multiples of 3 or multiples of 5 3 5 25 30 15 40 17 23 27 33 55 36 18 45 60 12 2 100

Multiples of 3 go inside this circle A VENN DIAGRAM IS USED TO SORT THINGS Multiples of 5 Multiples of 3 Multiples of 3 go inside this circle 3 5 25 30 15 40 17 23 27 33 55 36 18 45 60 12 2 100

Multiples of 5 go inside this circle A VENN DIAGRAM IS USED TO SORT THINGS Multiples of 5 Multiples of 3 Multiples of 5 go inside this circle 3 5 25 30 15 40 17 23 27 33 55 36 18 45 60 12 2 100

A VENN DIAGRAM IS USED TO SORT THINGS Multiples of 5 Multiples of 3 NUMBERS THAT ARE MULTIPLES OF 3 AND 5 GO HERE SO THEY ARE IN BOTH CIRCLES 3 5 25 30 15 40 17 23 27 33 55 36 18 45 60 12 2 100

A VENN DIAGRAM IS USED TO SORT THINGS Multiples of 5 Multiples of 3 27 3 25 30 17 40 33 15 5 36 45 55 60 18 2 100 23 12 NUMBERS THAT ARE NOT MULTIPLES OF 3 OR 5 STAY OUTSIDE THE CIRCLES 3 5 25 30 15 40 17 23 27 33 55 36 18 45 60 12 2 100

multiples of 3&10 multiples of 6&10 multiples of 3&6 multiples A VENN DIAGRAM IS USED TO SORT THINGS Multiples of 3 Multiples of 6 Which numbers go in each space? multiples of 3&10 multiples of 6&10 multiples of 3&6 multiples of 3,6&10 multiples of 10 multiples of 6 multiples of 3 Multiples of 10 3 5 7 10 13 15 18 24 25 27 30 36 40 50

No number here is a multiple of 6, without being a multiple of 3 too! A VENN DIAGRAM IS USED TO SORT THINGS Multiples of 3 Multiples of 6 The numbers remaining don’t belong in any circle, so stay on the outside. Multiples of 10 No number here is a multiple of 6, without being a multiple of 3 too! 3 5 7 10 13 15 18 24 25 27 30 36 40 50

We will use Venn Diagrams for a more advanced purpose… Probability Remember, Probability of an event occurring =

Ms. Avery conducted a survey of her students Ms. Avery conducted a survey of her students. She asked her students what flavor ice cream they like. 12 students like chocolate; 7 like vanilla; 2 like both; 24 students surveyed. Students of Ms. Avery Chocolate Vanilla

Ms. Avery conducted a survey of her students Ms. Avery conducted a survey of her students. She asked her students what flavor ice cream they like. 12 students like chocolate; 7 like vanilla; 2 like both; 24 students surveyed. Students of Ms. Avery Chocolate Vanilla 2

Ms. Avery conducted a survey of her students Ms. Avery conducted a survey of her students. She asked her students what flavor ice cream they like. 12 students like chocolate; 7 like vanilla; 2 like both; 24 students surveyed. Students of Ms. Avery Chocolate Vanilla 10 2

Ms. Avery conducted a survey of her students Ms. Avery conducted a survey of her students. She asked her students what flavor ice cream they like. 12 students like chocolate; 7 like vanilla; 2 like both; 24 students surveyed. Students of Ms. Avery Chocolate Vanilla 10 2 5

Ms. Avery conducted a survey of her students Ms. Avery conducted a survey of her students. She asked her students what flavor ice cream they like. 12 students like chocolate; 7 like vanilla; 2 like both; 24 students surveyed. Students of Ms. Avery Chocolate Vanilla 10 2 5 7

Finding Probability Students of Ms. Avery Chocolate Vanilla 10 2 5 7 P(Chocolate) 2) P(Vanilla) P(Chocolate) 4) P(Vanilla Only) P(Chocolate & Vanilla) 6) P(Neither Choc. nor Van. 7) P(Chocolate. l Vanilla) 8) P(Vanilla l Chocolate)

Finding Probability Students of Ms. Avery Chocolate Vanilla 10 2 5 7 P(Chocolate) 2) P(Vanilla) P(Chocolate Only) 4) P(Vanilla Only) P(Chocolate & Vanilla) 6) P(Neither Choc. nor Van. 7) P(Chocolate. l Vanilla) 8) P(Vanilla l Chocolate)

Finding Probability Students of Ms. Avery Chocolate Vanilla 10 2 5 7 P(Chocolate) 2) P(Vanilla) P(Chocolate Only) 4) P(Vanilla Only) P(Chocolate & Vanilla) 6) P(Neither Choc. nor Van. 7) P(Chocolate. l Vanilla) 8) P(Vanilla l Chocolate)

Finding Probability Students of Ms. Avery Chocolate Vanilla 10 2 5 7 P(Chocolate) 2) P(Vanilla) P(Chocolate Only) 4) P(Vanilla Only) P(Chocolate & Vanilla) 6) P(Neither Choc. nor Van. 7) P(Chocolate. l Vanilla) 8) P(Vanilla l Chocolate)

Finding Probability Students of Ms. Avery Chocolate Vanilla 10 2 5 7 P(Chocolate) 2) P(Vanilla) P(Chocolate Only) 4) P(Vanilla Only) P(Chocolate & Vanilla) 6) P(Neither Choc. nor Van. 7) P(Chocolate. l Vanilla) 8) P(Vanilla l Chocolate)

Finding Probability Students of Ms. Avery Chocolate Vanilla 10 2 5 7 P(Chocolate) 2) P(Vanilla) P(Chocolate Only) 4) P(Vanilla Only) P(Chocolate & Vanilla) 6) P(Neither Choc. nor Van. 7) P(Chocolate. l Vanilla) 8) P(Vanilla l Chocolate)

Finding Probability Students of Ms. Avery Chocolate Vanilla 10 2 5 7 P(Chocolate) 2) P(Vanilla) P(Chocolate Only) 4) P(Vanilla Only) P(Chocolate & Vanilla) 6) P(Neither Choc. nor Van.) 7) P(Chocolate. l Vanilla) 8) P(Vanilla l Chocolate)

Finding Probability Students of Ms. Avery Chocolate Vanilla 10 2 5 7 P(Chocolate) 2) P(Vanilla) P(Chocolate Only) 4) P(Vanilla Only) P(Chocolate & Vanilla) 6) P(Neither Choc. nor Van. 7) P(Chocolate. l Vanilla) 8) P(Vanilla l Chocolate)

Finding Probability Students of Ms. Avery Chocolate Vanilla 10 2 5 7 P(Chocolate) 2) P(Vanilla) P(Chocolate Only) 4) P(Vanilla Only) P(Chocolate & Vanilla) 6) P(Neither Choc. nor Van. 7) P(Chocolate. l Vanilla) 8) P(Vanilla l Chocolate)