Research any topic before you write.

Find related topics. | Discover entities. | See connections. | Build a topical map.

Harmonic mean

In mathematics, the harmonic mean is a kind of average, one of the Pythagorean means.

Examples, Statistics & Overview

Use the mouse wheel or two fingers (on touchscreens) to zoom in and out of the map.

Research this topic

Explore the main themes, entities and connections around Harmonic mean. Start with the topic map, then use the sections below for research and deeper semantic analysis.

Explore this topic

Start with a few of the strongest sections from the source topic. These are research directions, not a list of keywords you must use.

Topics to explore

Browse the full topic structure. Each item opens a new analysis centered on that subject.

Overview

Definition

Relationship with other means

Harmonic mean of two or three numbers

Weighted harmonic mean

Examples

Beta distribution

Lognormal distribution

Pareto distribution

Statistics

Advanced semantic analysis

Deeper signals for content research, entity SEO and topical coverage. The plain-language headings explain what each technical view is useful for.

Map overview Semantic statistics

Harmonic mean

Nodes90
Edges89
Triples58
Avg. degree1.98
Density0.022222
Components1

How this topic connects Entity context

See the strongest relationship patterns around the current topic before diving into the raw triples.

Harmonic mean

Top relations

related to In other sciences · 7
Harmonic mean → As, F-measure, F-score, In, It, That, This
related to External links · 6
Harmonic mean → Arithmetic, Averages, Eric, Harmonic Means, MathWorld, Weisstein
related to In geometry · 5
Harmonic mean → ABC, BC, For, In, PA
is a · 4
Harmonic mean → kind of average, preferable method for averaging multiples, same as the non-length biased version E, Schur-concave function
related to Relationship with other means · 4
Harmonic mean → For, If, It, Pythagorean
see also · 4
Harmonic mean → Contraharmonic, GM-AM-QM, Mathematics, Rate
related to In finance · 3
Harmonic mean → If, P/E, The
related to Notes · 2
Harmonic mean → In, The Environmental Protection Agency
related to Pareto distribution · 2
Harmonic mean → Pareto, The
related to Statistics · 2
Harmonic mean → Both, For

Important terminology Word statistics

Use these terms to understand the vocabulary surrounding the topic, not as a checklist for keyword stuffing.

Important terminology

mean harmonic arithmetic average two means one variance weighted displaystyle speed distance positive distribution numbers equal used parallel geometric case

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Harmonic meanis akind of average0.90text
Harmonic meanis aSchur-concave function0.90text
Harmonic meanis apreferable method for averaging multiples0.90text
Harmonic meanis asame as the non-length biased version E0.90text
speedsinstance ofone of the Pythagorean means.It is sometimes used for ratios and rates0.80text
and is normally used for positive arguments only.The harmonic mean is the reciprocal of the arithmetic mean of the reciprocals of the numbersinstance ofone of the Pythagorean means.It is sometimes used for ratios and rates0.80text
that isinstance ofone of the Pythagorean means.It is sometimes used for ratios and rates0.80text
the generalized f-mean with finstance ofone of the Pythagorean means.It is sometimes used for ratios and rates0.80text
the P/E is biased upwardsinstance ofThe simple weighted arithmetic mean when applied to non-price normalized ratios0.80text
cannot be numerically justifiedinstance ofThe simple weighted arithmetic mean when applied to non-price normalized ratios0.80text
since it is based on equalized earningsinstance ofThe simple weighted arithmetic mean when applied to non-price normalized ratios0.80text
population bottleneck increase the rate genetic driftinstance ofThe harmonic mean takes into account the fact that events0.80text

Related concept clusters Concept neighborhoods

These clusters group vocabulary that occurs around closely connected concepts in the source material.

    Connections between topic areas Semantic bridges

    Bridges can reveal useful research angles that are easy to miss in a flat list of related terms.

    Min side: 3
    For writers, content strategists, SEOs, marketers and creators — from quick topic research to advanced semantic analysis.