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Arithmetic Mean, Geometric Mean  &  Harmonic Mean

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☼ Arithmetic Mean, Geometric Mean  &  Harmonic Mean  :

 (i) For any two numbers  a  and  b, we have :

A.M. ( A )  =  \frac{a+b}{2}  ,    G.M. ( G ) = \sqrt{ab}     &     H.M. ( H )  = \frac{2ab}{a+b} .

(ii) For  n  observations  , , . . . , ,  we have :

A  = \frac{a_{1}+a_{2}+...+a_{n}}{n}  ;  G  = \sqrt[n]{a_{1} \times a_{1} \times a_{2} \times ...\times a_{n} }    &   H  = \frac{n}{\frac{1}{x_{1}}+\frac{1}{x_{2}}+...+\frac{1}{x_{n}}}

 

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