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Median M =






                                = 46 + .5
                                = 46.5

               Example-7: Calculate the median from the following data:
                       Mid value                 Frequency
                          115                         6

                          125                        25
                          135                        48
                          145                        72

                          155                        116
                          165                        60
                          175                        38
                          185                        22

                          195                         3

               Solution: The class size is clearly equal to the difference between 2 consecutive mid
               values i.e. 10. Subtracting and adding 5, from and to each mid-value, we get the class
               intervals.
                Class Interval Frequency Cumulative frequency
                   110 - 120          6                   6
                   120 - 130         25                  31

                   130 - 140         48                  79
                   140 - 150         72                 151
                   150 - 160         116                267

                   160 - 170         60                 327
                   170 - 180         38                 365
                   180 - 190         22                 387
                   190 - 200          3                 390

                     Total        N = 390


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