stats

Harmonic Mean

HM = n/Σ(1/xᵢ), weighted and rate-pairs mode, AM-GM-HM inequality check, parallel resistance easter egg.

Mode

Input

Values (comma or space separated)

Results

Count n—

Harmonic Mean HM—

Geometric Mean GM—

Arithmetic Mean AM—

HM ≤ GM ≤ AM holds—

HM = n / Σ(1/xᵢ) · WHM = Σwᵢ / Σ(wᵢ/xᵢ)

Rate pairs mode: weighted HM for differing quantities
HM of speeds = average speed for equal distances

Use harmonic mean for

average speeds over equal distances

P/E ratios across a portfolio

parallel resistances in circuits

fuel efficiency over equal distances