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  2. Pythagorean means - Wikipedia

    en.wikipedia.org/wiki/Pythagorean_means

    The study of the Pythagorean means is closely related to the study of majorization and Schur-convex functions. The harmonic and geometric means are concave symmetric functions of their arguments, and hence Schur-concave, while the arithmetic mean is a linear function of its arguments and hence is both concave and convex.

  3. Average - Wikipedia

    en.wikipedia.org/wiki/Average

    Average of chords. In ordinary language, an average is a single number or value that best represents a set of data. The type of average taken as most typically representative of a list of numbers is the arithmetic mean – the sum of the numbers divided by how many numbers are in the list. For example, the mean average of the numbers 2, 3, 4, 7 ...

  4. Mean - Wikipedia

    en.wikipedia.org/wiki/Mean

    The mean of a set of observations is the arithmetic average of the values; however, for skewed distributions, the mean is not necessarily the same as the middle value (median), or the most likely value (mode). For example, mean income is typically skewed upwards by a small number of people with very large incomes, so that the majority have an ...

  5. Harmonic mean - Wikipedia

    en.wikipedia.org/wiki/Harmonic_mean

    For all positive data sets containing at least one pair of nonequal values, the harmonic mean is always the least of the three Pythagorean means, [5] while the arithmetic mean is always the greatest of the three and the geometric mean is always in between. (If all values in a nonempty data set are equal, the three means are always equal.)

  6. Geometric mean - Wikipedia

    en.wikipedia.org/wiki/Geometric_mean

    The average percentage growth is the geometric mean of the annual growth ratios (1.10, 0.88, 1.90, 0.70, 1.25), namely 1.0998, an annual average growth of 9.98%. The arithmetic mean of these annual returns – 16.6% per annum – is not a meaningful average because growth rates do not combine additively.

  7. Arithmetic mean - Wikipedia

    en.wikipedia.org/wiki/Arithmetic_mean

    The average value can vary considerably from most values in the sample and can be larger or smaller than most. There are applications of this phenomenon in many fields. For example, since the 1980s, the median income in the United States has increased more slowly than the arithmetic average of income. [5]

  8. Central tendency - Wikipedia

    en.wikipedia.org/wiki/Central_tendency

    A generalization of the Pythagorean means, specified by an exponent. Geometric mean the nth root of the product of the data values, where there are n of these. This measure is valid only for data that are measured on a strictly positive scale. Harmonic mean the reciprocal of the arithmetic mean of the reciprocals of the data values. This ...

  9. Euclidean distance - Wikipedia

    en.wikipedia.org/wiki/Euclidean_distance

    The value resulting from this omission is the square of the Euclidean distance, and is called the squared Euclidean distance. [15] For instance, the Euclidean minimum spanning tree can be determined using only the ordering between distances, and not their numeric values.