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P. 8

= 30 + .625
                            = 30.625

               Example-4:Find the median of the following grouped frequency distribution:
                  Class Interval        Frequency
                       0 - 4                 2

                       4 - 8                 1
                       8 - 12                5
                      12 - 16                6

                      16 - 20                7

               Solution:
                Class Interval Frequency Cumulative
                                              frequency
                     0 - 4            2            2

                     4 - 8            1            3
                     8 - 12           5            8
                    12 - 16           6            14
                    16 - 20           7            21

                     Total           21


               Here, N = 21


                               where N = total frequency
               Thus, the median class will be (12 - 16).
               Here,   = 12, f = 6,  c,f  = 8, h = 4






                         = 12 + 1.67
                         = 13.67

               Example-5: Find the values of p and q from the following data, given
                                 median = 33
                  Marks        Number of Students


                                                              8
   3   4   5   6   7   8   9   10   11   12   13