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Statistical Methods in Economics


                   Notes          Individual series

                                                                              +
                                                                            N1
                                                          Median = The size of   th  item
                                                                              2
                                  Example 1: Calculate median from the following data:
                                                80      60       70      55       95      78       43
                                  Solution:  Arranging the given data in ascending order, we get
                                                43      55       60      70       78      80       95
                                                                            N +  1
                                                          Median = The size of   th  item
                                                                              2

                                                                             +
                                                                            71
                                                          Median = The size of   th  item
                                                                             2
                                                                            8
                                                          Median = The size of   th  item
                                                                            2
                                                          Median = The size of 4th item, i.e. 70
                                                                 – Median = 70
                                  Example 2: Compute median from the following data:
                                                74      52       63      45       85      69       55       30
                                  Solution:  Arranging the given data in ascending order, we get
                                                30      45       52      55       63      69       74       85

                                                                            N +  1
                                                          Median = The size of   th  item
                                                                              2
                                                                             +
                                                                            81
                                                          Median = The size of   th  item
                                                                             2
                                                                            9
                                                          Median = The size of   th  item
                                                                            2
                                                          Median = The size of 4.5th item,

                                                                            4th item  + 5thitem
                                                          Median = The size of
                                                                                   2
                                                                              +
                                                                            55 63
                                                          Median = The size of    th  item
                                                                              2
                                                                   118
                                                          Median =
                                                                    2
                                                         – Median = 59

                                  Discrete series

                                                                            N +  1
                                                          Median = The size of   th  item.
                                                                              2






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