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Statistical Methods in Economics


                   Notes          Solution: Construction of a Simple Index Number-Simple Aggregate Method:


                                          Commodities        1991 (or Base Year)     1995 (or Current Year)
                                                                  P  (Rs.)                  P  (Rs.)
                                                                   0                         1

                                              A                     50                       80
                                              B                     40                       60
                                              C                     10                       20
                                              D                     5                        10
                                              E                     2                         6

                                             Total               ∑P  = 107                 ∑P  = 176
                                                                   0                         1
                                           ∑  P     176
                                                            =
                                       P =  01  ∑ P 1 0  ×  100 =  107  ×  100 164.48

                                  Thus, Price Index No. = 164.48
                                  It means that prices, in general has inceased by 64.48%.
                                  Example 2: Construct price index number for 1990 based on 1981 using Simple Agregative Method:


                                          Commodities       Price in 1981 (in Rs.)    Price in 1990 (in Rs.)

                                              A                     50                       80
                                              B                     40                       60
                                              C                     10                       20

                                              D                     5                        10
                                              E                     2                         8



                                  Solution:
                                                          Construction of Price Index Number


                                          Commodities         Price in 1981 (P )        Price in 1990 (P )
                                                                          0                         1
                                              A                     50                       80
                                              B                     40                       60
                                              C                     10                       20
                                              D                     5                        10
                                              E                     2                         8

                                             Total               ∑P  = 107                 ∑P  = 178
                                                                   0                         1
                                      ∑ P       176
                                  P =    1  ×  100 =  ×  100 166.48
                                                       =
                                   01  ∑  P 0   107





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