Page 400 - Math Smart - 7
P. 400

The mean does not represent the scores well because the mean of
                                       higher than every score except for one.
                                                           The median of the data set is   .
                                                                 68, 70, 72I74, 78, 112

                                                                                 T

                                                                The mean of the data set is

                                              Mean               Median                      Mode
                                       In a data set that   In a data set that   The mode is usually not a
                                        has no outliers,    has outliers, the    suitable representation of
                                       the mean is the      median is the        central tendency.
                                        most suitable       most suitable
                                       representation of    representation of     41,45, 43, 42, 47, 46, 15, 49, 15
                                       central tendency     central tendency as  In the data set above, the mode
                                       because              it is the                  is not a good average
                                       the values of the    value in the data    because all of the other values
                                       data set are used   set.                  are much higher than the
                                       to calculate the                          mode.
                                       mean.                                     The mode is usually used to
                                                                                 represent popularity or majority
                                                                                 sentiments.



                                          6 Comparing distributions








                                      A teacher recorded the scores of 10 pupils for their English and Maths tests.
                                      The teacher wants to compare the overall performance of these pupils in
                                      English and Maths. Should she use the range, mean, median or mode for this
                                      comparison?

                                       Subject                             Scores
                                       Maths
                                                 79    79     76    76    74    79     81    79    77    80
                                       English
                                                 67    74    ICQ    68    67    83     70    85    102   64
                                       Work out the range, mean, median and mode for the scores of each test. Fill
                                      in the table below.

                                       Subject          Mean           Mode         Median         Range
                                       Maths
                                       English
                                      What does the average or spread tell the teacher about the scores in the
                                      English and Maths tests?





      396  UNIT 17
                         Data Handling
                                                      m
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