The difference between Contraharmonic mean and Geometric mean
When used as nouns, contraharmonic mean means a type of average calculated as the arithmetic mean of the squares of the values divided by the arithmetic mean of the values, ie. c = { {( x_1^2 + x_2^2 + ... + x_n^2) \over n } \over { ( x_1 + x_2 + ... + x_n ) \over n } }\ or \ c(x_1, x_2, ..., x_n) ={ { x_1^2+x_2^2+...+x_n^2} \over {x_1+x_2+...+x_n }}, 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 Contraharmonic mean and Geometric mean
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Contraharmonic mean as a noun (mathematics):
A type of average calculated as the arithmetic mean of the squares of the values divided by the arithmetic mean of the values, ie. C = { {( x_1^2 + x_2^2 + ... + x_n^2) \over n } \over { ( x_1 + x_2 + ... + x_n ) \over n } }\ or \ C(x_1, x_2, ..., x_n) ={ { x_1^2+x_2^2+...+x_n^2} \over {x_1+x_2+...+x_n }}
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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"