Question

If for values of X, AM=25, HM=9,
then the GM is:​

Answer 1

Answer:

complete the question

Answer 2

The value of GM = 15

Given :

For values of X , AM = 25 , HM = 9

To find :

The value of GM

Formula :

Arithmetic Mean ( AM ) , Harmonic Mean ( HM ) , and Geometric Mean ( GM ) are related by the relation

$\displaystyle \sf{ {(GM)}^{2} = AM \times HM }$

Solution :

Step 1 of 2 :

Write down the given AM , HM

Here it is given that AM = 25 , HM = 9

Step 2 of 2 :

Find the value of GM

$\displaystyle \sf{ {(GM)}^{2} = AM \times HM }$

$\displaystyle \sf{ \implies {(GM)}^{2}} = 25 \times 9$

$\displaystyle \sf{ \implies {(GM)}^{2}} = {5}^{2} \times {3}^{2}$

$\displaystyle \sf{ \implies {(GM)}^{2}} = {(5 \times 3)}^{2}$

$\displaystyle \sf{ \implies {(GM)}^{2}} = {(15)}^{2}$

$\displaystyle \sf{ \implies GM = 15}$

Hence the required value of GM = 15

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