Page 16 - Math SL HB Sem 3
P. 16

Statistics And Probability






             6.5 : CUMULATIVE  FREOUENCY  POLYGON(OCIVE)

                Two  rypes ofogive:
                       i)    'more than'
                       iD    'less than'



                   The upper boundaries  are used in the construction  ofogive
                                                   ,
                   The upper quartilg  lower quartile  median  and kd percentile  can be found
                   from the ogive drawn-

              Bxample:
              The data shown gives the weights of 120 male footballerc.



                   Weight ( w kg)            Frequency

                    55<w<60                      7
                    60<w<65                      3
                    65 < w <'lO                  t2
                    7O <w <75                    l4
                    75<w<80                      t9
                    80 (  w <85                 3']
                    85 (  w <90                 22
                    90 < w <95                   I
                   95  w < 100                   2
                      -<
                   100 lw  <105                  I



                 (a) Construct  a cumulative  frequency distribution  table-
                 (b) Represent the data on an ogive
                 (c) Use your graph to estimate  the:
                   i)     median weight
                   ii)    number of men weighing less than 73 kg.
                   iii)   number of men weighing more than 92 kg.
































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