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  • Help me answer: If the GM of 50 observation is 5 ; and 3 is multiplied to first 25 and 3 is divided by last 25 observations.Find new GM

If the GM of 50 observation is 5 ; and 3 is multiplied to first 25 and 3 is divided by last 25 observations.Find new GM

  • Option 1)

    15

     

     

     

  • Option 2)

    5.(3)^{\frac{1}{2}}

  • Option 3)

    \frac{5}{(3)^{\frac{1}{2}}}

  • Option 4)

    5

 

Answers (1)

best_answer

As we learned 

 

Properties of Geometric Mean -

Multiplying each observation by a non-zero constant multiplies the (h) of the observations by the same constant.

{G}'= \left ( x_{1}x_{2}x_{3}\cdots x_{n} \right )^{\frac{1}{n}}\cdot \left ( k^{n} \right )^{\frac{1}{n}}

= \left ( x_{1}x_{2}x_{3}\cdots x_{n} \right )^{\frac{1}{n}}k = kG

-

 

 {G}'=\left ( 3^{25}\times \left ( x_{1}x_{2}\cdots \cdots x_{25} \right )\times \frac{1}{3^{25}}\times \left ( x_{26}x_{27} \cdots x_{50}\right ) \right )^{\frac{1}{50}}

=G=5

 


Option 1)

15

 

 

 

Option 2)

5.(3)^{\frac{1}{2}}

Option 3)

\frac{5}{(3)^{\frac{1}{2}}}

Option 4)

5

Posted by

Himanshu

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