Page 75 - Mathematics of Business and Finance
P. 75

Chapter 1 | Review of Basic Arithmetic  55



                    1     Summary of Notation and Formulas






           FORMULAS

           Arithmetic Average | 1.5(a)
                               Sum of all values of terms  x  + x  + x  + ... + x
           Arithmetic Average =                         =   1  2    3       n  =
                                   Number of terms                 n



           Weighted Average | 1.5(b)

                               Sum of all weighted values  w x  + w x  + w x + ... + w x
                                                                            3  3
                                                                    2  2
                                                             1  1
                                                                                       n  n
           Weighted Average =                            =                                  =
                              Sum of the weighting factors      w  + w  + w  + ... + w n
                                                                       2
                                                                            3
                                                                  1
           Geometric Mean | 1.5(c)
                                                                           1 n
           G =   n x    .  x .       x .    x .      x . ...  . x n     or    G = ex  ∙ x  ∙ x  ∙ x  ∙ x  ∙ ... ∙ x o
                                                                         n
                                                                  5
                          3
                             4
                   1
                      2
                                5
                                                           3
                                                              4
                                                    1
                                                       2
   70   71   72   73   74   75