Geometric mean-geometric progression, Mathematics

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Geometric mean

- It is a measure of central tendency normally utilized to measure industrial increases rates.

- It is explained as the nth root of the product of 'n' observations or values

                                                 1254_Geometric mean.png

'Illustration

In year 1995 five firms registered the given economic growth rates; 26 percent, 32 percent, 41 percent, 18 percent and 36 percent.

Required

Estimate the GM for the above values

                                                                 268_Geometric mean 1.png

No. Log

 

26

1.4150

32

1.5052

41

1.6128

18

1.2533

36

1.5563

 

7.3446

 

Hence Log of GM = 1/5 x 7.3446

= 1.46892

Then GM = Antilog of 1.46892

                 = 29.43


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