Phrase guide

geometric mean

noun · 2 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

Sound

Pronunciation

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No pronunciation record was provided for this word.

1

noun

Meaning 1

A measure of central tendency of a set of n values computed by extracting the nth root of the product of the values.

Definition source: English Wiktionary via Wiktextract

Topics: mathematics, sciences

Examples

  • The geometric mean of 2, 4 and 1 is √ = 2
  • The geometric mean of the arithmetic mean and the harmonic mean is the geometric mean. In symbols: if A(x,y)#61;#123;x#43;y#92;over 2#125;, H(x,y)#61;#123;2xy#92;overx#43;y#125;, and G(x,y)#61;#92;sqrt#123;xy#125;, then G(A(x,y),H(x,y))#61;#92;sqrt#58;Template#58;x#43;y#92;over 2#125;#92;cdot#123;2xy#92;overx#43;y#61;#92;sqrt#123;xy#125;#61;G(x,y).

Meaning relationships

Synonyms: none provided

Antonyms: none provided

2

noun

Meaning 2

the mean of n numbers expressed as the n-th root of their product

Definition source: Princeton WordNet 3.0

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

Broader terms: mean, mean value

History

Etymology

No etymology was provided for this word.

Across languages

Translations

18 source translations are retained for this English entry.

  • Armenian: երկրաչափական միջին (erkračʻapʻakan miǰin) — measure of central tendency
  • Chinese Mandarin: 幾何平均數 /几何平均数 (jǐhé píngjūnshù) — measure of central tendency
  • Chinese Mandarin: 几何中项 — measure of central tendency
  • Czech: geometrický průměr — measure of central tendency
  • Estonian: geomeetriline keskmine — measure of central tendency
  • Finnish: geometrinen keskiarvo — measure of central tendency
  • Finnish: keskiverto — measure of central tendency
  • French: moyenne géométrique — measure of central tendency
  • German: geometrisches Mittel — measure of central tendency
  • Hungarian: mértani közép — measure of central tendency
  • Japanese: 幾何平均 — measure of central tendency
  • Korean: 기하 평균 (giha pyeonggyun) — measure of central tendency
  • Polish: średnia geometryczna — measure of central tendency
  • Romanian: medie geometrică — measure of central tendency
  • Russian: сре́днее геометри́ческое (srédneje geometríčeskoje) — measure of central tendency
  • Serbo-Croatian: geometrijska sredina — measure of central tendency
  • Spanish: media geométrica — measure of central tendency
  • Tagalog: sukgising tamtaman — measure of central tendency