Krishna
0

Step 1: Know about the deviation or assumed mean method

          The assumed mean method (or deviation) method are just simplified form of

            the direct method.

            Let x_1, x_2, x_3............, x_n be observations with respective      

            frequencies f_1, f_2,............f_n


                Mean = a + \frac{\Sigma f_id_i}{\Sigma f_i}


              Where, d_i = x_i - a

                              a - Assumed mean


Step 2: Choose one among the observations as the assumed mean, and denote it by 'a'

            NOTE: It is taken somewhere in the middle of all the values of observations

                        Assumed mean a = 25


Step 3: Find the deviation of ‘a’ from each of the observations ( x_i 's)

                  Deviation   d = x_i - a


                          x_1=5, a = 25


                                  d = 5 - 25 = - 20


                    Calculate the deviation for every observation (See the table)


Step 4: Find the product of d_i(deviations) with the corresponding frequencies f_i, and take the sum of all the f_id_i's.


          Calculations are shown in table given below 

              


Step 5: Find the mean of the deviations  


                  Mean of the deviations  =   a + \frac{\Sigma f_id_i}{\Sigma f_i}

                           25 - \frac{1170}{400}


                       Mean =   25 - 2.925  


                       Mean = 22.075