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  • Tell me? If 2 is geometric mean of first 3 observations and 4 is geometric mean of next 3 observations. Find GM of all 6 observations.

If 2 is geometric mean of first 3 observations and 4 is geometric mean of next 3 observations. Find GM of all 6 observations.

  • Option 1)

    2

     

     

     

  • Option 2)

    8

  • Option 3)

    4

  • Option 4)

    2\sqrt{2}

 

Answers (1)

best_answer

As we learned 

 

Properties of Geometric Mean -

If G1 and G2 are the geometric means of two series of sizes n1 and n2 respectively then the geometric mean G of combined series is given by 

\log G= \frac{n_{1}\log G_{1}+n_{2}\log G_{2}}{n_{1}+n_{2}}

-

 

 \log G=\frac{3\log 2+3\log 4}{6}=\frac{\log 2+\log 4}{2}=\frac{1}{2}\log 8=\log 2\sqrt{2}

 Thus\; G= 2\sqrt{2}

 


Option 1)

2

 

 

 

Option 2)

8

Option 3)

4

Option 4)

2\sqrt{2}

Posted by

Himanshu

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