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Other Uses of Geometric Meansīesides being used by scientists and biologists, geometric means are also used in many other fields, most notably financial reporting. As explained below, geometric mean is really a log-transformation of data to enable meaningful statistical evaluations. This is helpful when analyzing bacteria concentrations, because levels may vary anywhere from 10 to 10,000 fold over a given period. Typically, public health regulations identify a precise geometric mean concentration at which shellfish beds or swimming beaches must be closed.Ī geometric mean, unlike an arithmetic mean, tends to dampen the effect of very high or low values, which might bias the mean if a straight average (arithmetic mean) were calculated. Often, the data must be summarized as a “geometric mean” (a type of average) of all the test results obtained during a reporting period.
Many wastewater dischargers, as well as regulators who monitor swimming beaches and shellfish areas, must test for and report fecal coliform bacteria concentrations. Geometric Means for Water Quality Standards Practical definition: The average of the logarithmic values of a data set, converted back to a base 10 number. Mathematical definition: The nth root of the product of n numbers. Geometric mean has the specific definitions below, and has utility in science, finance, and statistics. Most people are familiar with the “arithmetic mean”, which is also commonly called an average. Means are mathematical formulations used to characterize the central tendency of a set of numbers. Practical Methods and Workarounds for Calculating Geometric Meanīy Dr.
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