This GeoGebra activity shows the [i]means[/i] of two values [i]a[/i], [i]b[/i] ([color=#b20ea8]AM = arithmetic[/color], [color=#198f88]GM = geometric[/color], [color=#0a971e]QM = quadratic[/color] and [color=#d69210]HM =harmonic[/color]) geometrically .
The values are represented as segments on the diameter of a semicircle, and can be easily modified by dragging the point [i]C[/i].
Dragging that point allows further explorations of the mean values of [i]a[/i], [i]b[/i] and discover the known inequality:
[math]QM \geq AM \geq GM \geq HM[/math]