Cognitive Scaffold

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MENTAL MODEL · M12223

Harmonic Mean

Harmonic Mean
TechnicalHigh supportStatistics
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Version 1.0.0 · Updated 2026-07-30

CORE DEFINITION

The harmonic mean of n numbers is n / (1/x₁ + 1/x₂ + ... + 1/xₙ). It is suitable for scenarios involving rates and ratios.

SCAFFOLDING EFFECT

psychology

Reduce cognitive load

For rate problems, the arithmetic mean is not applicable. For example, when traveling equal distances at different speeds, the harmonic mean should be used.

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Anchor fast decisions

The harmonic mean is more sensitive to smaller values and is suitable for quantities with the property of 'additive reciprocals', such as rates and ratios. It gives the 'average efficiency per unit resource' rather than a simple mean.

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Source support: Explicit

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    en.wikipedia.orghttps://en.wikipedia.org/wiki/Harmonic_meanZH · Explicit
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