Linked from
The 34 pages that link to Arithmetic mean, each with the reason it gives.
VarianceRelated: Variance measures deviations from this central value.
Standard deviationRelated: Standard deviation measures dispersion around this central value.
StandardizationRelated: Subtracting the mean centers the transformed variable at zero.
MidpointRelated: Each coordinate of a midpoint is the arithmetic mean of the endpoint coordinates.
AM–GM inequalityRelated: AM–GM compares this ordinary average directly with the geometric mean.
Sum of squaresRelated: Deviations from the mean define the standard total sum of squares.
68–95–99.7 ruleRelated: The rule centers every interval on the distribution’s mean.
Fluctuations and noiseRelated: Fluctuations are commonly defined as deviations from this average.