Page 182 - Artificial Intellegence_v2.0_Class_11
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MEDIAN (Individual Series):





                                                           1.  Arrange Data in Ascending Order
                               Wages       Wages
                                 (X)         (X)
                                                           2.  Median =

                                 500         100     1
                                                                        n1 +  th
                                 200         200     2         Size of      item
                                                                        2  
                                 100         300     3
                                                              6 + 1  th
                                 300         400     4     =   2    item
                                 600         500
                                                                th
                                                           = 3.5  item
                                 400         600
                                            N = 6             3  item + 4 item    300 + 400
                                                                        th
                                                               rd
                                                           =                    =
                                                                      2                2
                                                           = 350




                              MEDIAN: (frequency Distribution Series):
                              (Class Interval Series)


                                  Wages         f         cf       1.  Find Cumulative Frequency (cf)
                                   (X)                                                         th
                                                                                            n
                                   0 – 100      2          2       2. Median     =  Size of    item
                                                                                           
                                                                        Class              
                                                                                            2
                                100 – 200       1          3         = (10/2)  item =      5  ITEM
                                                                            th
                                                                                            th
                                200 – 300       3          6       5  item lies in Cumulative Frequency 6
                                                                    th
                                300 – 400       3          9       Hence Median Class = 200 – 300
                                                                   6.  Apply formula
                                400 – 500       1         10
                                                        N = 10             n −  cf
                                                                           2
                                                                      =
                              l = 200                               Ml +      f    x i
                                                                        1
                               1
                              cf = 3
                                                              10
                              f = 3                              − 3
                                                               2
                                                          =
                                                        M 200 +     3    x 100
                                                                                         Median = 266.67











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