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							 6-8 Misleading Graphs
  6-8 Misleading Graphs




                Warm Up
               Problem of the Day
               Lesson Presentation




 Course
Course 1 1
 6-8 Misleading Graphs


    Warm Up
    Use the data below to answer each
    question.
    20 21 23 24 27 33 34 35 36
    38 40 41 42 43 46 52 53

    1. What is the median? 36
    2. What is the mode?   none
    3. What is the range?   33


Course 1
 6-8 Misleading Graphs


    Problem of the Day
    Nine students in a group found that
    their mean score was 86 for the first
    math test. On the next test, each
    student in the group scored 7 points
    higher than on the first test. What was
    their mean score for the two tests?
    89.5



Course 1
 6-8 Misleading Graphs




   Learn to recognize misleading graphs.




Course 1
 6-8 Misleading Graphs
     Additional Example 1A: Misleading Bar Graphs




           Why is this bar graph misleading?
           Because the lower part of the vertical axis is
           missing, the differences in prices are
           exaggerated.

Course 1
 6-8 Misleading Graphs
     Additional Example 1B: Misleading Bar Graphs




           What might people believe from the
           misleading graph?
                                                         1
                                                        __      1
                                                                __
           People might believe that Cars B and C cost 1 to 2
                                                         2       2
           times as much as Car A. In reality, Cars B and C are
           only a few thousand dollars more than Car A.

Course 1
 6-8 Misleading Graphs
                        Check It Out: Example 1A
                             Money Raised
                     600
                     580
                     570
           Dollars




                     560
                     550
                     540
                     530
                        4th graders 5th graders 6th graders

           Why is this bar graph misleading?
           The vertical axis begins at 530 rather than 0.



Course 1
 6-8 Misleading Graphs
                        Check It Out: Example 1B
                             Money Raised
                     600
                     580
                     570
           Dollars




                     560
                     550
                     540
                     530
                        4th graders 5th graders 6th graders

           What might people believe from the
           misleading graph?
           That the 5th graders have raised twice as
           much money as the 4th graders.

Course 1
 6-8 Misleading Graphs
     Additional Example 2A: Misleading Line Graphs




           Why are these graphs misleading?
           If you look at the scale for each graph, you will
           notice that the April graph goes from 54° to 66°
           and the May graph goes from 68° to 80°.
Course 1
 6-8 Misleading Graphs
     Additional Example 2B: Misleading Line Graphs




     What might people believe from these
     misleading graphs?
     People might believe that the temperatures in May were
     about the same as the temperatures in April. In reality, the
     temperatures in April were about 15 degrees lower.
Course 1
 6-8 Misleading Graphs
     Additional Example 2C: Misleading Line Graphs




           Why is this line graph misleading?

           The scale goes from $0 to $80, and then
           increases by $5.


Course 1
 6-8 Misleading Graphs
                                      Check It Out: Example 2A
                                  September                 November
     Temperature (°F)




                                                     Temperature (°F)
                        90                                              70
                        80
                        70                                              60
                        60                                              50
                        50                                              40
                        40
                                                                        30
                        30
                        20                                              20
                        10                                              10
                         0                                              0

                              1      2     3   4                             1   2   3   4
                                    Week                                         Week
                             Why are these graphs misleading?
                             If you look at the scale for each graph, you will
                             notice that the September Graph goes from
                             85° to 70° and the November graph goes from
                             65° to 50°.

Course 1
 6-8 Misleading Graphs
                                     Check It Out: Example 2B
                                 September                 November
     Temperature (°F)




                                                   Temperature (°F)
                        90                                            70
                        80
                        70                                            60
                        60                                            50
                        50                                            40
                        40
                                                                      30
                        30
                        20                                            20
                        10                                            10
                         0                                            0

                             1      2     3   4                            1   2   3   4
                                   Week                                        Week
                        What might people believe from these
                        misleading graphs?
                        People might believe that the temperatures in
                        September were about the same as the temperatures in
                        November. In reality, the temperatures in September
                        were about 20 degrees higher.
Course 1
 6-8 Misleading Graphs
                                    Check It Out: Example 2C

                                             Stock prices      Corp. C
               Price of stock ($)   80
                                                               Corp. D
                                    70
                                    60
                                    50
                                    0
                                         1985 1990 1995 2000
                                                 Year

           Why is this line graph misleading?

           The scale goes from $0 to $50, and then
           increases by $10.

Course 1
 6-8 Misleading Graphs
                          Lesson Quiz
     1. Why might this line graph be misleading?




           The scale does not start at zero.
     2. What might people believe from the graph?
           Possible answer: that there were hardly any
           visitors on Monday
Course 1

						
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