Last Updated：2025/11/21

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(mathematics) A type of measure of central tendency calculated as the reciprocal of the mean of the reciprocals, ie, H=n/1/x_1+1/x_2+⋯+1/x_n

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harmonic mean

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Source Word

harmonic mean

Noun

Japanese Meaning

調和平均：統計学において、各データの逆数の算術平均の逆数として計算される中心傾向の尺度。

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Google Translation / DeepL Translation

同じ距離を移動する複数の速度を平均する場合、調和平均は算術平均よりも中心傾向の代表値としてより適切です。

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Sense（1）

If aₙ and bₙ denote the perimeters of inscribed and circumscribed regular n-gons, respectively, along some circle then the harmonic mean and geometric mean of those two perimeters yield the perimeters of the inscribed and circumscribed regular 2n-gons, respectively, along that same circle. (This is Archimedes' Recurrence Formula.)

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harmonic means

（ plural ）

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harmonic mean

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