GeometricMean
GeometricMean[list]
gives the geometric mean of the values in list.
Details

- For the list {x1,x2,…,xn}, the geometric mean is given by
.
- GeometricMean handles both numerical and symbolic data.
- GeometricMean[{{x1,y1,…},{x2,y2,…},…}] gives {GeometricMean[{x1,x2,…}],GeometricMean[{y1,y2,…}]}.
Examples
open allclose allScope (9)
Exact input yields exact output:
Approximate input yields approximate output:
GeometricMean for a matrix gives columnwise means:
SparseArray data can be used just like dense arrays:
Find the geometric mean of WeightedData:
Find the geometric mean of EventData:
Find the geometric mean of a TimeSeries:
Generalizations & Extensions (1)
Compute results for a SparseArray:
Properties & Relations (3)
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]:
Text
Wolfram Research (2007), GeometricMean, Wolfram Language function, https://reference.wolfram.com/language/ref/GeometricMean.html.
CMS
Wolfram Language. 2007. "GeometricMean." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/GeometricMean.html.
APA
Wolfram Language. (2007). GeometricMean. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/GeometricMean.html