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how to calculate log x in geometric mean. The geometric mean of X is denoted by G M and is given by G M i 1 n x i f i 1 N log. In the first example we will compute the geometric mean manually based on the already built-in R functions exp mean and log.
The sample estimate is exp s where s is the standard deviation of the log-transformed data. Following the basic structure of the manual running total a series of three formulas can be used to determine and display the Geometric Mean. Look for the symbol 10 x on your calculator which is usually a secondary function of the LOG button.
The antilog function is the inverse of the LOG function on your calculator and it converts the value back to base-10.
Another way to calculate the geometric mean is with logarithms as it is also the average of logarithmic values converted back to base 10. The quantity GSD exp s is defined to be the geometric standard deviation. For example suppose you want to find the geometric means for these six rows of data. Note that this is invalid for any x less than zero and returns zero if any of the xs are equal to zero.