Page 288 - AI Ver 3.0 Class 11
P. 288

In statistics, the median is the middle value in a given list of numbers arranged in ascending or descending order.




                                  MEDIAN (Individual Series): with odd number of items




                                     Wages       Wages        1.  Arrange data in ascending order
                                       (X)         (X)                         n1  th
                                                              2.  Median =        term
                                       500         100                          

                                       200         200                        5 + 1  th
                                                                                  
                                                                          =       term
                                                                                  
                                                                                  
                                       100         300                        2 
                                       300         400                    = 3  term
                                                                               rd
                                       400         500
                                                                          = 300
                                                  n = 5





              What if there are even number of items. Lets see!




                              MEDIAN (Individual Series): with even number of items




                                                           1.  Arrange data in ascending order
                               Wages       Wages
                                 (X)         (X)                            n1 +  th
                                                           2.  Median =         term
                                                                            2  
                                 500         100
                                                                          6 + 1   th
                                 200         200                      =       2      term
                                 100         300
                                                                            th
                                 300         400                      = 3.5  term

                                 600         500                         3  term + 4 term      300 + 400
                                                                                    th
                                                                           rd
                                                                      =                    =
                                 400         600                                 2                 2
                                            n = 6                     = 350
















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