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Methodology of Social Research




                     notes                score      frequency     Variation d’ of scores from   F x d’ = fd  f d’ x d’
                                           (x)           (f)         assumed Mean A = 10

                                           21            1                   11                  11          121

                                           20            0                   10                  0            0
                                           19            0                    9                  0            0
                                           18            2                    8                  16          128
                                           17            1                    7                  7            49
                                           16            2                    6                  12           72

                                           15            3                    5                  15           75
                                           14            2                    4                  8            32
                                           13            3                    3                  9            27
                                           12            4                    2                  8            16

                                           11            6                    1                  6            6
                                           10            8                    0                  0            0
                                           9             7                   –1                  –7           7
                                           8             5                   –2                 –10           20

                                           7             2                   –3                  –6           18
                                           6             1                   –4                  –4           16
                                           5             3                   –5                 –15           75
                                                (NSf) = 50                 Sfd’ = 50                       Sfd’ = 662


                                                                                S  ' d  2    S  ' d   2
                                                                        (σ)  =   N  −     N   

                                                                       Sfd’ 2   =  662,
                                                                       Sfd’  =  50      N = 50

                                                                                662    50   2
                                                                        (σ)  =     −   
                                                                                 50    50 
                                                                            =   13.24 1
                                                                                    −
                                                                            =   12.24
                                                                            =  3.5 (Approx.)

                                      (c) continuous series


                                            Example 6    the given table shows the distribution of population for different age groups
                                                         in a city. find out the standard deviation (s.D.)






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