Page 3 - Lesson Note MCT 2 54
P. 3

   −  .  
                                            Median =    +      2    ×   
                                                          1
                                                                  
                                                              25 − 16
                                                           = 20 +       × 10
                                                                 18
                                                                90
                                                      = 20 +
                                                                18

                                                    = 20 + 5 = 25

               Calculation of median in case of un-equal class interval: -

                       When the class-intervals are un-equal, there is no need to make the

                       class intervals equal and the same formula would be applied to calculate
                       median.

               EX: - From the following data obtain median.

               Class interval     0 - 5    5 - 10    10 - 20    20 - 30     30 - 50  50 - 70  70 - 100

              No of students        12       15        25          40         42         14         08
               Answer: - calculation of median.

                 Class interval (X)    No of students (F)  Cumulative frequency (C.F)
                       0 – 5                    12                           12

                       5 – 10                   15                           27
                      10 – 20                   25                           52
                      20 – 30                   40                           92
                      30 – 50                   42                          134

                      50 – 70                   14                          148
                     70 - 100                   08                          156
                                               = ∑   = 156

                                    
                       Median =    ℎ                 ℎ               
                                  2
                                 156
                              =       = 78th data in the series.
                                  2
                       Median class is 20 - 30

                           = 20      f =40,        c. f = 52,     i = 10.
                       1
                                                                
                                                                −  .  
                                            Median =    +      2      ×   
                                                          1

                                                         78 − 52
                                                = 20 +             × 10
                                                            40
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