Power Mean Calculator
Calculate the generalized power mean (Holder mean) for any power p, unifying harmonic, geometric, arithmetic, and quadratic means.
Enter Values
Examples:
Power Mean (p = 2)
6.633250
Special Cases Comparison:
For positive values, power means are ordered: Min ≤ HM ≤ GM ≤ AM ≤ RMS ≤ Max
Number of Values
5
What is Power Mean?
The power mean (also called generalized mean or Holder mean) is a family of functions that includes many well-known means as special cases. By varying the power parameter p, you can obtain the harmonic mean (p=-1), geometric mean (p=0), arithmetic mean (p=1), quadratic mean (p=2), and even the minimum (p→-∞) or maximum (p→+∞).
Formula
Mp = [(x1^p + x2^p + ... + xn^p) / n]^(1/p)
For p = 0, use the limit: M0 = (x1 × x2 × ... × xn)^(1/n) = Geometric Mean
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