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Arithmetic Mean, Geometric Mean, Root Mean Square and Harmonic Mean for Two Numbers

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Each of the four lengths of the line segments drawn in the semicircle is the measure of a mean of and :

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• arithmetic mean (AM, cyan)

• geometric mean (GM, red)

• root mean square (RMS, yellow)

• harmonic mean (HM, purple).

The two numbers (green) and (blue) sum to the diameter of the circle and are represented on the horizontal base of the semicircle.

Lines that appear to meet at right angles actually do so.

It is always true that .

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Contributed by: Kerry Michael Soileau (August 2022)
Open content licensed under CC BY-NC-SA

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