RetroSearch Browse

Home - News ( United States | United Kingdom | Italy | Germany ) - Football scores

Showing content from http://reference.wolfram.com/language/ref/HarmonicMean.html below:

HarmonicMean—Wolfram Language Documentation

WOLFRAM Consulting & Solutions

We deliver solutions for the AI eraâcombining symbolic computation, data-driven insights and deep technology expertise.

Data & Computational Intelligence
Model-Based Design
Algorithm Development
Wolfram|Alpha for Business
Blockchain Technology
Education Technology
Quantum Computation

WolframConsulting.com

BUILT-IN SYMBOL

HarmonicMean[data]

gives the harmonic mean of the values in data.

Details

For VectorQ data , the harmonic mean is given by .
For MatrixQ data, HarmonicMean[{{x₁,y₁},{x₂,y₂},…}] is equivalent to {HarmonicMean[{x₁,x₂,…}],HarmonicMean[{y₁,y₂,…}]}. »
HarmonicMean handles both numerical and symbolic data.
The data can have the following additional forms and interpretations:

Examplesopen allclose all Basic Examples (2)

Harmonic mean of symbolic values:

Harmonic mean of columns of a matrix:

Scope (12) Basic Uses (6)

Exact input yields exact output:

Approximate input yields approximate output:

Find the harmonic mean of WeightedData:

Find the harmonic mean of EventData:

Find the harmonic mean of a TimeSeries:

The harmonic mean depends only on the values:

Compute a weighted harmonic mean:

Find the harmonic mean of data involving quantities:

Image and Audio Data (2)

Channelwise harmonic mean value of an RGB image:

Harmonic mean intensity value of a grayscale image:

On audio objects, HarmonicMean works channelwise:

Applications (1)

Find the harmonic mean for the heights of children in a class:

Properties & Relations (6) Possible Issues (1)

HarmonicMean will return 0 when the audio channels have a 0 in them; this is common for real-world audio samples:

Mean will clip channel values to values that can be represented with machine numbers:

Wolfram Research (2007), HarmonicMean, Wolfram Language function, https://reference.wolfram.com/language/ref/HarmonicMean.html (updated 2023). Text Wolfram Research (2007), HarmonicMean, Wolfram Language function, https://reference.wolfram.com/language/ref/HarmonicMean.html (updated 2023).CMS Wolfram Language. 2007. "HarmonicMean." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2023. https://reference.wolfram.com/language/ref/HarmonicMean.html.APA Wolfram Language. (2007). HarmonicMean. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/HarmonicMean.htmlBibTeX @misc{reference.wolfram_2025_harmonicmean, author="Wolfram Research", title="{HarmonicMean}", year="2023", howpublished="\url{https://reference.wolfram.com/language/ref/HarmonicMean.html}", note=[Accessed: 11-July-2025 ]}BibLaTeX @online{reference.wolfram_2025_harmonicmean, organization={Wolfram Research}, title={HarmonicMean}, year={2023}, url={https://reference.wolfram.com/language/ref/HarmonicMean.html}, note=[Accessed: 11-July-2025 ]}

RetroSearch is an open source project built by @garambo | Open a GitHub Issue

Search and Browse the WWW like it's 1997 | Search results from DuckDuckGo

HTML: 3.2 | Encoding: UTF-8 | Version: 0.7.4