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GeometricMean

GeometricMean[list]
gives the geometric mean of the values in list.
  • For the list , the geometric mean is given by .
Geometric mean of a list:
Geometric mean of columns of a matrix:
Geometric mean of a list:
In[1]:=
Click for copyable input
Out[1]=
 
Geometric mean of columns of a matrix:
In[1]:=
Click for copyable input
Out[1]=
Compute results at machine precision:
Obtain results at any precision:
Compute results for a large vector or matrix:
GeometricMean is logarithmically related to Mean for positive values:
GeometricMean is logarithmically related to HarmonicMean for positive values:
For positive data, HarmonicMean[d]≤GeometricMean[d]≤Mean[d]:
Prove the inequality symbolically:
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