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
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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."
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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"