Page 149 - Math Course 2 (Book 2)
P. 149

Measure of Central Tendency






                             Let’s Begin                           OLYMPICS
                                                                   The line plot shows the number of gold medals
                                                                   earned by each country that participated in the
                                                                   2002 Winter Olympic games in Salt Lake City,
                                                                   Utah. Find the mean, median, and mode for the
               Real World Example                                  gold medals won.


                MOVIES
                The revenue of the 10 highest grossing movies
                as of 2004 are given in the table. Find the mean,
                median, and mode of the revenues.

                    Top 10 Movie Revenues(millions of $)
                           436                 249
                           373                 187                  0    1    2     3     4     5     6     7     8     9   10   11   12
                           371                 176                      6(0)+3(1)+5(2)+3(3)+3(4)+2(6)+1(10)+1(11)+1(12)
                           279                 173                mean =                 24                  ≈3.16
                           261                 163

                                                                      Answer           The mean is 3.16.
                                     sum of revenues
                          mean =    number of movies
                                   436 + 373 + ... + 163           There are 24 numbers. The median number is the
                               =
                                           10                      average of the 12  and 13  numbers.
                                                                                  th
                                                                                          th
                                   2668
                               =                or 266.8
                                    10
                                                                      Answer            The median is 2.
                                The mean revenue is $266.8
                    Answer
                                          million.
                                                                   The number 0 occurs most frequently in the set of
                To find the median, order the numbers from least   data.
                to greatest.
                163, 173, 176, 187, 249, 261, 279, 371, 373, 436
                                                                      Answer             The mode is 0.
                                 249 + 261  = 55
                                     2



                      There is an even number of items. Find       Your Turn!
                       the mean of the two middle numbers.
                                                                  Real World Example
                                 The median revenue is $255
                                  million. There is no mode        TEST SCORES
                   Answer                                          The test scores for a class of nine students are 85,
                                   because each number in
                                     the set occurs once           93, 78, 99, 62, 83, 90, 75, 85. Find the mean, median,
                                                                   and mode of the test scores.

                                                                   A. mean, 73.9; median, 85; mode, no mode
                                                                   B. mean, 83.3; median, 85; mode, 85
                                                                   C. mean, 750; median, 62; mode, 85
                                                                   D. mean, 83.3; median, 62; mode, 85



                                                                     Answer




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