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Venn Diagrams &
Circle Graphs & Line Graphs
To make a circle graph:
Collect data
Find the percent of each category
Find the measure of the central angle for
each category
Use a protractor to make the circle graph
Are you good    Tally   Frequency
at fractions?
Yes


No

Sometimes
Find the percent of each category
          (100% total):
Yes =

No =

Sometimes =
Find the measure of each central
        angle (360° total):
Yes

No

Sometimes
Use a protractor to make the circle
              graph:
Venn Diagram Example
Survey of 50 people who have a pet. 24 people have a
dog. 18 people have a cat. 12 people have fish. 4
people have fish and a cat. 1 person has a fish and a
dog. 3 people have a dog and a cat. 5 people have a
fish, a cat and a dog. How many people don’t have any
of these pets?

        Cat                                   Dog

                         ___
                ___                  ___

                         ___
                   ___         ___



                         ___
                                       Fish
Line Graph
Consists of
paired values graphed as points on a
plane defined by an x- and y-axis;
line segments connecting the graphed
points (much like a dot-to-dot).
Works well when
the data is paired (bi-variate);
the data is continuous.
Line Graph Example
                               75
                               74
                               73
  John's Weight in Kilograms



                               72
                               71
                               70
                               69
                               68
                               67
                               66
                               65
                                    1991   1992   1993    1994   1995
                                                   Year



John weighed 68 kg in 1991, 70 kg in 1992, 74 kg in
1993, 74 kg in 1994, and 73 kg in 1995.
Advantages of Line Graphs
A line graph is a way to summarize how two
pieces of information are related and how they
vary depending on one another.


 Disadvantages of Line Graphs

Changing the scale of either axes can
dramatically change the visual impression of the
graph.

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Venn diagrams, Circle graphs, and Line graphs

  • 1. Venn Diagrams & Circle Graphs & Line Graphs
  • 2. To make a circle graph: Collect data Find the percent of each category Find the measure of the central angle for each category Use a protractor to make the circle graph
  • 3. Are you good Tally Frequency at fractions? Yes No Sometimes
  • 4. Find the percent of each category (100% total): Yes = No = Sometimes =
  • 5. Find the measure of each central angle (360° total): Yes No Sometimes
  • 6. Use a protractor to make the circle graph:
  • 7. Venn Diagram Example Survey of 50 people who have a pet. 24 people have a dog. 18 people have a cat. 12 people have fish. 4 people have fish and a cat. 1 person has a fish and a dog. 3 people have a dog and a cat. 5 people have a fish, a cat and a dog. How many people don’t have any of these pets? Cat Dog ___ ___ ___ ___ ___ ___ ___ Fish
  • 8. Line Graph Consists of paired values graphed as points on a plane defined by an x- and y-axis; line segments connecting the graphed points (much like a dot-to-dot). Works well when the data is paired (bi-variate); the data is continuous.
  • 9. Line Graph Example 75 74 73 John's Weight in Kilograms 72 71 70 69 68 67 66 65 1991 1992 1993 1994 1995 Year John weighed 68 kg in 1991, 70 kg in 1992, 74 kg in 1993, 74 kg in 1994, and 73 kg in 1995.
  • 10. Advantages of Line Graphs A line graph is a way to summarize how two pieces of information are related and how they vary depending on one another. Disadvantages of Line Graphs Changing the scale of either axes can dramatically change the visual impression of the graph.