The difference between Arithmetic mean and Geometric mean

When used as nouns, arithmetic mean means the measure of central tendency of a set of values computed by dividing the sum of the values by their number, whereas geometric mean means a measure of central tendency of a set of n values computed by extracting the nth root of the product of the values.


check bellow for the other definitions of Arithmetic mean and Geometric mean

  1. Arithmetic mean as a noun (statistics, probability):

    The measure of central tendency of a set of values computed by dividing the sum of the values by their number; commonly called the mean or the average.

    Examples:

    "The arithmetic mean of 3, 6, 2, 3 and 6 is (3 + 6 + 2 + 3 + 6) / 5 = 4."

  1. Geometric mean as a noun (mathematics):

    A measure of central tendency of a set of n values computed by extracting the nth root of the product of the values.

    Examples:

    "The geometric mean of 2, 4 and 1 is <math>\sqrt[3]{2 \times 4 \times 1}</math> = 2"