Page 150 - Math Course 2 (Book 2)
P. 150

Measure of Central Tendency




        Real World Example
                                                            CONCEPT SUMMARY

          FAMILIES                                          Using Mean, Median, and Mode
          A survey of school-age children shows the family
          sized displayed in the line plot. Find the mean,
          median, and mode.                                           • the data set has no extreme values
                                                             Mean       (values that are much greater or much
                                                                        less than the rest of the data)


                                                                      • the data set has extreme values
                                                            Median    • there are no big gaps in the middle of
                                                                        the data
              0    1    2     3     4     5     6     7     8     9   10


                                                             Mode     • the data set has many repeated
         A. mean, 5.1; median, 5; mode, 3, 4, 5, 6, 8                   numbers.
         B. mean, 102; median, 5; mode, 5
         C. mean, 6.05; median, 6; mode, 6
         D. mean, 4.3; median, 5.5; mode, 4.5


                                                                         Let’s Begin
           Answer



                                                           Choose an Appropriate Measure

         MO. 11 - L1b                                         Example

             Using Measure of Central

                Tendency in Statistics                      SURVEYS
                                                            Eleanor took a poll in her class to see how many
                                                            times her classmates had visited the local amuse-
         Key Concept                                        ment park during summer vacation. What measure
                                                            of central tendency best represents the data?

                                                            The data is: 5, 0, 2, 3, 2, 4, 1, 2, 1, 3, 8, 2, 2, 0.
         Measures of Central Tendency
                                                            Since there is an extreme value of 8, the median
                                                            would best represent the data.


          Mean     The sum of the data divided by the
                   number of items in the data set                 0, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 4, 5, 8


                                                                           The median is 2. This is also
                                                               Answer
          Median   The middle of the  ordered data, or the                          the mode.
                   mean of the middle two numbers





          Mode     the number or number that occurs
                   most often.






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