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Arithmetic & Geometric
        Means
Arithmetic & Geometric
        Means
Arithmetic Mean(average)
                      a1  a2  a3    an
                 AM 
                                n
Arithmetic & Geometric
        Means
Arithmetic Mean(average)
                      a1  a2  a3    an
                 AM 
                                n
Geometric Mean
                 GM  n a1a2 a3 an
Arithmetic & Geometric
        Means
Arithmetic Mean(average)
                       a1  a2  a3    an
                  AM 
                                 n
Geometric Mean
                  GM  n a1a2 a3 an


e.g.Find the AM and GM of 4 and 25
Arithmetic & Geometric
        Means
Arithmetic Mean(average)
                       a1  a2  a3    an
                  AM 
                                 n
Geometric Mean
                  GM  n a1a2 a3 an


e.g.Find the AM and GM of 4 and 25
                25  4
          AM 
                  2
                29
              
                2
Arithmetic & Geometric
        Means
Arithmetic Mean(average)
                       a1  a2  a3    an
                  AM 
                                 n
Geometric Mean
                 GM  n a1a2 a3 an


e.g.Find the AM and GM of 4 and 25
                25  4
          AM                   GM  25  4
                  2
                                    100
                29
                                   10
                2
Exercise 6F; 1ace etc, 2bd, 4, 7, 8ade, 10, 13, 19*

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11X1 T14 03 arithmetic & geometric means (2011)

  • 2. Arithmetic & Geometric Means Arithmetic Mean(average) a1  a2  a3    an AM  n
  • 3. Arithmetic & Geometric Means Arithmetic Mean(average) a1  a2  a3    an AM  n Geometric Mean GM  n a1a2 a3 an
  • 4. Arithmetic & Geometric Means Arithmetic Mean(average) a1  a2  a3    an AM  n Geometric Mean GM  n a1a2 a3 an e.g.Find the AM and GM of 4 and 25
  • 5. Arithmetic & Geometric Means Arithmetic Mean(average) a1  a2  a3    an AM  n Geometric Mean GM  n a1a2 a3 an e.g.Find the AM and GM of 4 and 25 25  4 AM  2 29  2
  • 6. Arithmetic & Geometric Means Arithmetic Mean(average) a1  a2  a3    an AM  n Geometric Mean GM  n a1a2 a3 an e.g.Find the AM and GM of 4 and 25 25  4 AM  GM  25  4 2  100 29   10 2
  • 7. Exercise 6F; 1ace etc, 2bd, 4, 7, 8ade, 10, 13, 19*