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Venn Diagrams Introduction

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					Venn Diagrams Introduction
          A VENN DIAGRAM SHOWS
        RELATIONSHIPS BETWEEN SETS
                 OF ITEMS
The Venn Diagram below shows the results of a survey given in Ms.
Popelka’s class of 42 students - drinks that they will have sometimes
with breakfast


•All 25 of the students in the circle labeled circle Milk        Milk
 (2 + 14 + 6 + 3) like to drink milk.
                                                                  2
                                                            14          6
                                                                  3
                                                   Orange
                                                                        Coffee
                                                    Juice         5
                                                                          1
                                                      4
          A VENN DIAGRAM SHOWS
        RELATIONSHIPS BETWEEN SETS
                 OF ITEMS
The Venn Diagram below shows the results of a survey given in Ms.
Popelka’s class of 42 students - drinks that they will have sometimes
with breakfast


•All 25 of the students in the circle labeled circle Milk        Milk
 (2 + 14 + 6 + 3) like to drink milk.
                                                                  2
•All 26 of the students in the circle labeled Orange
                                                            14          6
Juice (14 + 3 + 5 + 4) like to drink orange juice.
                                                                  3
                                                   Orange
                                                                        Coffee
                                                    Juice         5
                                                                          1
                                                      4
          A VENN DIAGRAM SHOWS
        RELATIONSHIPS BETWEEN SETS
                 OF ITEMS
The Venn Diagram below shows the results of a survey given in Ms.
Popelka’s class of 42 students - drinks that they will have sometimes
with breakfast


•All 25 of the students in the circle labeled circle Milk        Milk
 (2 + 14 + 6 + 3) like to drink milk.
                                                                  2
•All 26 of the students in the circle labeled Orange
                                                            14          6
Juice (14 + 3 + 5 + 4) like to drink orange juice.
                                                                  3
•All 15 of the students in the circle labeled      Orange
                                                                        Coffee
Coffee (6 + 3 + 5 + 1) like to drink coffee.        Juice         5
                                                                          1
                                                      4
          A VENN DIAGRAM SHOWS
        RELATIONSHIPS BETWEEN SETS
                 OF ITEMS
The Venn Diagram below shows the results of a survey given in Ms.
Popelka’s class of 42 students - drinks that they will have sometimes
with breakfast
 In this example:                                   Milk
 •2 students drink only milk
 The two is placed in the section of the
 circle that does not overlap with the
                                                     2
 other two, to indicate milk only.



                                           Orange          Coffee
                                            Juice
          A VENN DIAGRAM SHOWS
        RELATIONSHIPS BETWEEN SETS
                 OF ITEMS
The Venn Diagram below shows the results of a survey given in Ms.
Popelka’s class of 42 students - drinks that they will have sometimes
with breakfast
 In this example:
 •2 students drink only milk
                                                    Milk
 The two is placed in the section of the
 circle that does not overlap with the
                                                     2
 other two, to indicate milk only.
                                               14
 •14 drink milk and oj
 The 14 is placed in the section where     Orange          Coffee
 the oj and milk circles overlap, to        Juice
 indicate that they like both.
          A VENN DIAGRAM SHOWS
        RELATIONSHIPS BETWEEN SETS
                 OF ITEMS
The Venn Diagram below shows the results of a survey given in Ms.
Popelka’s class of 42 students - drinks that they will have sometimes
with breakfast
 In this example:
 •2 students drink only milk.
                                                         Milk
 The two is placed in the section of the
 circle that does not overlap with the
                                                          2
 other two, to indicate milk only.
                                                    14
 •14 drink milk and oj.                                   3
 The 14 is placed in the section where          Orange          Coffee
 the oj and milk circles overlap, to             Juice
 indicate that they like both.

 •3 students drink milk, oj, and coffee.
 The 3 is placed where all 3 circles overlap.
          A VENN DIAGRAM SHOWS
        RELATIONSHIPS BETWEEN SETS
                 OF ITEMS
The Venn Diagram below shows the results of a survey given in Ms.
Popelka’s class of 42 students - drinks that they will have sometimes
with breakfast
 In this example:                                        Milk            7
 •6 drink milk and coffee
 •4 drink only oj                                         2
 •1 drinks only coffee
 •5 drink oj and coffee                             14          6
 •If you add all of the numbers in the                    3
 diagram, you may notice that 35
                                              Orange            Coffee
 students are counted. 42 were surveyed.       Juice      5

                                                4                   1
 •7 students do not drink any of the 3
 beverages. This 7 is placed outside of the
 diagram.
                              PRACTICE
                              YOU TRY

Rock                               Rap
                                         Question: How many people enjoy
       18         11          24         rock or rap?

                  7
            8             1
                                           18 rock only + 24 rap only + 11 rock and rap
                                           + 7 rock, rap, and country, + 1 rap and
                                           country + 8 rock and country = 69 total
                 17



                Country
                               PRACTICE
                              YOU TRY # 2

Rock                               Rap
                                         Question: How many people do not
       18         11          24         enjoy rock?

                  7
            8             1
                                           24 rap only + 1 rap and country + 17 country
                                           = 42 total

                 17



                Country
     CLICK BELOW TO SEE VIDEO ON
            VENN DIAGRAMS

http://www.nutshellmath.com/textbooks_glossary_demos/demos_content/prea
lg_venn_diagrams.html


   http://www.ehow.com/video_4756700_do-venn-diagram-problems.html
CLICK TO SEE MORE EXAMPLES
Much More Challenging Problems
http://www.math.tamu.edu/~kahlig/venn/venn.html


 http://www.purplemath.com/modules/venndiag4.htm

 http://www.chaselink.com/tune/
   CLICK TO TEST YOUR SKILLS ON
          VENN DIAGRAMS
http://www.glencoe.com/sec/math/prealg/mathn
et/pr01/pdf/1302a.pdf
http://www.glencoe.com/sec/math/studytools/cgi-
bin/msgQuiz.php4?isbn=0-02-833240-
7&chapter=13&lesson=2

				
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