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MEAN (Frequency Distribution Series)       Direct Method

                                 Wages         m=         f      fm        1.  Find mid values m= (l + l )/2
                                                                                                     2
                                                                                                  1
                                   (x)      (l  + l )/2                    2.  Find fm
                                                  2
                                              1
                                 0 – 100        50        2     100        3.  Find ∑ fm and ∑ f
                                100 – 200      150        1     150        4.  Apply formula

                                200 – 300      250        3     750            ∑  fm
                                                                           X =
                                300 – 400      350        3     1050           ∑  f

                                400 – 500      450        1     450
                                                                           =  2500
                                                         ∑f =  ∑fm=           10
                                                        10     2500
                                                                           =  250




                              MEDIAN (Individual Series):
                                                                1.  Arrange Data in Ascending Order
                                 Wages       Wages
                                   (X)         (X)
                                                                2.  Median =
                                   500         100                       n1 +  th
                                                        1       Size of      item
                                   200         200                       2  
                                                        2
                                   100         300              =  5 + 1 th  item
                                   300         400      3            2               What if there are
                                   400         500              = 3  item             even number of
                                                                    rd
                                                                                          items?
                                              N = 5             = 300                    Lets see!




                              MEDIAN (Individual Series):


                               Wages       Wages           1.  Arrange Data in Ascending Order
                                 (X)         (X)
                                                           2.  Median =
                                 500         100     1
                                                                            th
                                 200         200     2         Size of      n1 +    item
                                                                        2  
                                 100         300     3
                                                                  th
                                 300         400     4     =  6 + 1  item
                                                               2
                                 600         500           = 3.5  item
                                                                th
                                                               rd
                                                                        th
                                 400         600           =  3  item + 4 item  =  300 + 400
                                                                      2                2
                                            N = 6          = 350




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