See geometric mean in All languages combined, or Wiktionary
Download JSON data for geometric mean meaning in English (4.2kB)
{
"forms": [
{
"form": "geometric means",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "geometric mean (plural geometric means)",
"name": "en-noun"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"senses": [
{
"categories": [
{
"kind": "other",
"name": "English entries with incorrect language header",
"parents": [
"Entries with incorrect language header",
"Entry maintenance"
],
"source": "w"
},
{
"kind": "other",
"name": "Mandarin terms with redundant transliterations",
"parents": [
"Terms with redundant transliterations",
"Entry maintenance"
],
"source": "w"
},
{
"kind": "topical",
"langcode": "en",
"name": "Mathematics",
"orig": "en:Mathematics",
"parents": [
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
}
],
"coordinate_terms": [
{
"word": "arithmetic mean"
},
{
"word": "harmonic mean"
},
{
"word": "quadratic mean"
}
],
"examples": [
{
"text": "The geometric mean of 2, 4 and 1 is √ = 2"
},
{
"text": "The geometric mean of the arithmetic mean and the harmonic mean is the geometric mean. In symbols: if A(x,y)#x3D;#x7B;x#x2B;y#x5C;over 2#x7D;, H(x,y)#x3D;#x7B;2xy#x5C;overx#x2B;y#x7D;, and G(x,y)#x3D;#x5C;sqrt#x7B;xy#x7D;, then G(A(x,y),H(x,y))#x3D;#x5C;sqrt#x3A;Template#x3A;x#x2B;y#x5C;over 2#x7D;#x5C;cdot#x7B;2xy#x5C;overx#x2B;y#x3D;#x5C;sqrt#x7B;xy#x7D;#x3D;G(x,y).",
"type": "example"
}
],
"glosses": [
"A measure of central tendency of a set of n values computed by extracting the nth root of the product of the values."
],
"hypernyms": [
{
"word": "measure of central tendency"
},
{
"word": "Pythagorean mean"
}
],
"id": "en-geometric_mean-en-noun-aTD8R0BL",
"links": [
[
"mathematics",
"mathematics"
],
[
"measure of central tendency",
"measure of central tendency"
]
],
"raw_glosses": [
"(mathematics) A measure of central tendency of a set of n values computed by extracting the nth root of the product of the values."
],
"topics": [
"mathematics",
"sciences"
],
"translations": [
{
"code": "hy",
"lang": "Armenian",
"roman": "erkračʿapʿakan miǰin",
"sense": "measure of central tendency",
"word": "երկրաչափական միջին"
},
{
"code": "cmn",
"lang": "Chinese Mandarin",
"sense": "measure of central tendency",
"word": "幾何平均數"
},
{
"code": "cmn",
"lang": "Chinese Mandarin",
"roman": "jǐhé píngjūnshù",
"sense": "measure of central tendency",
"word": "几何平均数"
},
{
"code": "cmn",
"lang": "Chinese Mandarin",
"sense": "measure of central tendency",
"word": "几何中项"
},
{
"code": "cs",
"lang": "Czech",
"sense": "measure of central tendency",
"tags": [
"masculine"
],
"word": "geometrický průměr"
},
{
"code": "et",
"lang": "Estonian",
"sense": "measure of central tendency",
"word": "geomeetriline keskmine"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "measure of central tendency",
"word": "geometrinen keskiarvo"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "measure of central tendency",
"word": "keskiverto"
},
{
"code": "fr",
"lang": "French",
"sense": "measure of central tendency",
"word": "moyenne géométrique"
},
{
"code": "de",
"lang": "German",
"sense": "measure of central tendency",
"tags": [
"neuter"
],
"word": "geometrisches Mittel"
},
{
"code": "hu",
"lang": "Hungarian",
"sense": "measure of central tendency",
"word": "mértani közép"
},
{
"code": "ja",
"lang": "Japanese",
"sense": "measure of central tendency",
"word": "幾何平均"
},
{
"code": "ko",
"lang": "Korean",
"roman": "giha pyeonggyun",
"sense": "measure of central tendency",
"word": "기하 평균"
},
{
"code": "pl",
"lang": "Polish",
"sense": "measure of central tendency",
"tags": [
"feminine"
],
"word": "średnia geometryczna"
},
{
"code": "ro",
"lang": "Romanian",
"sense": "measure of central tendency",
"tags": [
"feminine"
],
"word": "medie geometrică"
},
{
"code": "ru",
"lang": "Russian",
"roman": "srédneje geometríčeskoje",
"sense": "measure of central tendency",
"tags": [
"neuter"
],
"word": "сре́днее геометри́ческое"
},
{
"code": "sh",
"lang": "Serbo-Croatian",
"sense": "measure of central tendency",
"tags": [
"feminine"
],
"word": "geometrijska sredina"
},
{
"code": "es",
"lang": "Spanish",
"sense": "measure of central tendency",
"tags": [
"feminine"
],
"word": "media geométrica"
},
{
"code": "tl",
"lang": "Tagalog",
"sense": "measure of central tendency",
"word": "sukgising tamtaman"
}
],
"wikipedia": [
"geometric mean"
]
}
],
"word": "geometric mean"
}
{
"coordinate_terms": [
{
"word": "arithmetic mean"
},
{
"word": "harmonic mean"
},
{
"word": "quadratic mean"
}
],
"forms": [
{
"form": "geometric means",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "geometric mean (plural geometric means)",
"name": "en-noun"
}
],
"hypernyms": [
{
"word": "measure of central tendency"
},
{
"word": "Pythagorean mean"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"senses": [
{
"categories": [
"English countable nouns",
"English entries with incorrect language header",
"English lemmas",
"English multiword terms",
"English nouns",
"English terms with usage examples",
"Mandarin terms with redundant transliterations",
"en:Mathematics"
],
"examples": [
{
"text": "The geometric mean of 2, 4 and 1 is √ = 2"
},
{
"text": "The geometric mean of the arithmetic mean and the harmonic mean is the geometric mean. In symbols: if A(x,y)#x3D;#x7B;x#x2B;y#x5C;over 2#x7D;, H(x,y)#x3D;#x7B;2xy#x5C;overx#x2B;y#x7D;, and G(x,y)#x3D;#x5C;sqrt#x7B;xy#x7D;, then G(A(x,y),H(x,y))#x3D;#x5C;sqrt#x3A;Template#x3A;x#x2B;y#x5C;over 2#x7D;#x5C;cdot#x7B;2xy#x5C;overx#x2B;y#x3D;#x5C;sqrt#x7B;xy#x7D;#x3D;G(x,y).",
"type": "example"
}
],
"glosses": [
"A measure of central tendency of a set of n values computed by extracting the nth root of the product of the values."
],
"links": [
[
"mathematics",
"mathematics"
],
[
"measure of central tendency",
"measure of central tendency"
]
],
"raw_glosses": [
"(mathematics) A measure of central tendency of a set of n values computed by extracting the nth root of the product of the values."
],
"topics": [
"mathematics",
"sciences"
],
"wikipedia": [
"geometric mean"
]
}
],
"translations": [
{
"code": "hy",
"lang": "Armenian",
"roman": "erkračʿapʿakan miǰin",
"sense": "measure of central tendency",
"word": "երկրաչափական միջին"
},
{
"code": "cmn",
"lang": "Chinese Mandarin",
"sense": "measure of central tendency",
"word": "幾何平均數"
},
{
"code": "cmn",
"lang": "Chinese Mandarin",
"roman": "jǐhé píngjūnshù",
"sense": "measure of central tendency",
"word": "几何平均数"
},
{
"code": "cmn",
"lang": "Chinese Mandarin",
"sense": "measure of central tendency",
"word": "几何中项"
},
{
"code": "cs",
"lang": "Czech",
"sense": "measure of central tendency",
"tags": [
"masculine"
],
"word": "geometrický průměr"
},
{
"code": "et",
"lang": "Estonian",
"sense": "measure of central tendency",
"word": "geomeetriline keskmine"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "measure of central tendency",
"word": "geometrinen keskiarvo"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "measure of central tendency",
"word": "keskiverto"
},
{
"code": "fr",
"lang": "French",
"sense": "measure of central tendency",
"word": "moyenne géométrique"
},
{
"code": "de",
"lang": "German",
"sense": "measure of central tendency",
"tags": [
"neuter"
],
"word": "geometrisches Mittel"
},
{
"code": "hu",
"lang": "Hungarian",
"sense": "measure of central tendency",
"word": "mértani közép"
},
{
"code": "ja",
"lang": "Japanese",
"sense": "measure of central tendency",
"word": "幾何平均"
},
{
"code": "ko",
"lang": "Korean",
"roman": "giha pyeonggyun",
"sense": "measure of central tendency",
"word": "기하 평균"
},
{
"code": "pl",
"lang": "Polish",
"sense": "measure of central tendency",
"tags": [
"feminine"
],
"word": "średnia geometryczna"
},
{
"code": "ro",
"lang": "Romanian",
"sense": "measure of central tendency",
"tags": [
"feminine"
],
"word": "medie geometrică"
},
{
"code": "ru",
"lang": "Russian",
"roman": "srédneje geometríčeskoje",
"sense": "measure of central tendency",
"tags": [
"neuter"
],
"word": "сре́днее геометри́ческое"
},
{
"code": "sh",
"lang": "Serbo-Croatian",
"sense": "measure of central tendency",
"tags": [
"feminine"
],
"word": "geometrijska sredina"
},
{
"code": "es",
"lang": "Spanish",
"sense": "measure of central tendency",
"tags": [
"feminine"
],
"word": "media geométrica"
},
{
"code": "tl",
"lang": "Tagalog",
"sense": "measure of central tendency",
"word": "sukgising tamtaman"
}
],
"word": "geometric mean"
}
This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-04-30 from the enwiktionary dump dated 2024-04-21 using wiktextract (210104c and c9440ce). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.
If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.