Linked from
The 34 pages that link to Arithmetic mean, each with the reason it gives.
VarianceRelated: Variance measures deviations from this central value.
Gender pay gapRelated: Many headline pay-gap figures compare average earnings using arithmetic means.
Standard deviationRelated: Standard deviation measures dispersion around this central value.
MedianCompared with: Unlike the median, the mean shifts substantially when extreme values are added.
CovarianceRelated: Each variable’s deviations are measured from its arithmetic mean in a data sample.
StandardizationRelated: Subtracting the mean centers the transformed variable at zero.
Geometric meanCompared with: It averages additive differences, while the geometric mean averages multiplicative ratios.
Descriptive statisticsRelated: It summarizes a dataset with a single measure of its arithmetic center.
MidpointRelated: Each coordinate of a midpoint is the arithmetic mean of the endpoint coordinates.
Root mean squareCompared with: A symmetric alternating waveform can have zero arithmetic mean but a nonzero RMS magnitude.
SemiperimeterRelated: For a triangle, the semiperimeter is three times the arithmetic mean of its side lengths.
Gaussian functionRelated: The center parameter locates the Gaussian's peak along the horizontal axis.
Cauchy distributionCompared with: Cauchy samples can have sample means that remain highly variable rather than settling toward a population mean.
Cesàro summationRelated: Each Cesàro average is the arithmetic mean of an initial segment of partial sums.
Order statisticCompared with: Unlike a ranked value, the mean combines every observation through its magnitude.
Chebyshev's sum inequalityNarrower topic: Both sides compare averages, so the normalization determines the inequality's exact form.
Data typesRelated: A mean assumes meaningful numerical distances, which category labels and many ranks lack.
Mode (statistics)Compared with: Unlike the mode, the mean uses every numerical value and can be shifted by extremes.
Sample meanNarrower topic: The sample mean is the arithmetic mean computed from sample observations.
Box plotCompared with: A box plot centers on the median and can omit the mean entirely.
Harmonic meanRelated: The harmonic mean is the reciprocal of the arithmetic mean applied to reciprocals.
AM–GM inequalityRelated: AM–GM compares this ordinary average directly with the geometric mean.
Weighted averageCompared with: Equal weights make a weighted average identical to this familiar mean.
Glycated hemoglobinRelated: The measurement approximates average exposure, not a complete glucose history.
Log-normal distributionRelated: It exceeds the median when the log-normal distribution is nondegenerate.
Sum of squaresRelated: Deviations from the mean define the standard total sum of squares.
QuartileCompared with: Unlike quartiles, the mean incorporates every value and shifts strongly with extreme observations.
Statistics (numerical data)Broader topic: It summarizes a dataset with one value, but can be pulled by extreme observations.
Regression toward the meanNarrower topic: Regression toward the mean describes movement toward this average after an extreme measurement.
Geometric mean theoremCompared with: The altitude is the geometric, not arithmetic, mean of the two segments.
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.
QM–AM–GM–HM inequalitiesBroader topic: It sits between the quadratic and geometric means.
Sample mean and covarianceNarrower topic: Each coordinate of the sample mean is the arithmetic mean of that variable’s observed values.