The geometric mean is used for the analysis of data related to economics or biology, where the values change exponentially. If n number of data values are given, their geometric mean is expressed as the nth root of the product. For example, consider the following set of numbers. Since these numbers are changing exponentially, their arithmetic mean would be skewed towards larger values. So, calculating the geometric mean can help find the mean of such exponentially changing values. Begin by multiplying all the given numbers. Since there are four numbers in the data set, take the 4th root of the product. The resulting value is the geometric mean of the data. Alternatively, convert the data values into corresponding logarithmic numbers. Then, add up all the log numbers and divide them by the total number of values in the data set. Finally, take antilog to arrive at the geometric mean. It is important to note that the geometric mean cannot be used if given data contains zero or negative value.