Question

calculate the geometric mean 25.74,475,75,0.8,0.08,0.005,0.0009​

Answer 1

Answer.

0.0121395865

Step-by-step explanation:

25.74 + 475+75+0.8+0.08+0.005+0.0009

=576.6259/7

=0.0121395865

Answer 2

The geometric mean of 25.74 , 475 , 75 , 0.8 , 0.08 , 0.005 , 0.0009 is 0.827

Given :

The numbers 25.74 , 475 , 75 , 0.8 , 0.08 , 0.005 , 0.0009

To find :

The geometric mean of 25.74 , 475 , 75 , 0.8 , 0.08 , 0.005 , 0.0009

Formula :

For the given set of n numbers a₁ , a₂ , a₃ , a₄ , . . . , aₙ

The geometric mean of the numbers

$\displaystyle \sf = \sqrt[n]{a_1 \times a_2 \times a_3 \times a_4 \times .... \times a_n }$

Solution :

Step 1 of 2 :

Write down the given set of numbers

Here the given numbers are 25.74 , 475 , 75 , 0.8 , 0.08 , 0.005 , 0.0009

Step 2 of 2 :

Calculate geometric mean

Number of terms = 7

Hence the required geometric mean

$\displaystyle \sf = \sqrt[7]{25.74 \times 475 \times 75 \times 0.8 \times 0.08 \times 0.005 \times 0.0009}$

$\displaystyle \sf = \sqrt[7]{0.2641}$

$\sf= 0.827(approx)$

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