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The harmonic mean is the reciprocal of the arithmetic mean of reciprocals. It is the correct average for rates — when the denominator unit (time, distance) is constant.

Trin-for-trin guide

  1. 1HM = n / (1/x₁ + 1/x₂ + ... + 1/xₙ)
  2. 2Always ≤ geometric mean ≤ arithmetic mean
  3. 3Use for averaging rates, speeds, P/E ratios

Løste eksempler

Input
60 km/h there and 40 km/h back (equal distances)
Resultat
HM = 48 km/h (not 50 km/h)
2/(1/60+1/40)=48

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