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14

               The frequency polygon shows the time taken by a group of participants to complete the
               fun run in a park.
               (a)  Find   the   total  number     of             Time of Fun Run for 1 km
                   participants in the fun run.
               (b)  Find  the number of participants       30
                   who recorded a time of 16 minutes       20
                   to 20 minutes to complete the run.     Frequency
               (c)  By  observing  the  shape  of the      10
                   frequency  polygon, make  an            0
                   inference based on the distribution          6-10  11-15  16-20  21-25  26-30  31-35  36-40  41-45
                   of time taken by the participants.
                                                                          Time (minutes)

               (a)  Total number of participants  = 10 + 24 + 30 + 26 + 12 + 8
                                                = 110 participants

               (b)  24 participants     24 participants recorded a time of 16 – 20 minutes
               (c)  Most of the participants recorded a time of 16 minutes to 30 minutes to complete
                   the run.

                   Self Practice       12.1d

               1.  A botanist studies the height of a tree in a tropical rainforest. The line graph shows
                   the height of the tree over a period of seven years.
                                                         Height of a Tree

                                    20

                                    15
                                   Height (m)  10




                                     5

       CHAPTER
      12                             0
                                           2010 2011 2012 2013 2014 2015 2016
                                                              Year
                   (a)  How tall was this tree initially?
                   (b)  What is the increase in height of the tree over a period of seven years?
                   (c)  In which year will the height of the tree be 12 m?
                   (d)  State an inference based on the line graph given.
                   (e)  Based on the trend of the line graph, predict the height of the tree in 2017.



           280
           Chapter 12



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