Calculate the geometric mean of 3, 6, 24 and 48?

1 Answer
Aviv S.
Mar 21, 2018

The geometric mean is #12#.

Explanation:

To calculate the geometric mean of set of numbers #n# terms long, use this formula:

#rootn(quada_1xxa_2xxa_3xx...xxa_nquad)#

In our case, with the set of numbers #{3,6,24,48}#, there are #4# terms, so we take the fourth root of their product. It looks like this (you'll probably need a calculator):

#color(white)=root4(3xx6xx24xx48)#

#=root4(18xx24xx48)#

#=root4(432xx48)#

#=root4 20736#

#=12#

That's it. Hope this helped!

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