A comparison of arithmetic and geometric norms.  In the above examples, there is little difference between the growth factors' arithmetic mean (1.0889) and geometric mean (1.0861).  Similarly, there is little difference in the values that lie two standard deviations above those means—1.2549 (arithmetic) and 1...
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When would one use the geometric mean as opposed to arithmetic mean? What is the use of the geometric mean in general? ... Here are some basic mathematical facts about the arithmetic and geometric mean:
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When is it appropriate to use the arithmetic mean, and when the geometric mean? ... Date: 03/27/2001 at 19:04:27 From: Mark Subject: Arithmetic vs. geometric mean When would it be appropriate to use the arithmetic mean over the geometric, or vice versa? I am not trying be vague, but the geometric mean will always be...
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A 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. This is helpful when analyzing bacteria concentrations, because levels may vary anywhere from 10 to 10,000 fold over a given period.
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Mean - Wikipedia, the free encyclopedia
In statistics, mean has two related meanings: • the arithmetic mean (and is distinguished from the geometric mean or harmonic mean). • the expected value of a random variable, which is also called t...
en.wikipedia.org/wiki/Mean
Arithmetic-geometric mean - Wikipedia, the free encyclopedia
In mathematics, the arithmetic-geometric mean (AGM) of two positive real numbers x and y is defined as follows: First compute the arithmetic mean of x and y and call it a 1 . Next compu...
en.wikipedia.org/wiki/Arithmetic-geometric_mean
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Author info | Abstract | Publisher info | Download info | Related research | Statistics ... No abstract is available for this item. ... To our knowledge, this item is not available for download. To find whether it is available, there are three options: 1. Check below under "Related research" whether another version of this...
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This paper addresses an issue central to the estimaiton of discount rates for capital budgeting: should the geometric mean or arithmetic mean of past data be used when estimating the discount rate? The use of the arithmetic mean ignores estimation error and serial correlation in returns.
papers.ssrn.com/sol3/papers.cfm?abstract_id=7337
Geometric Average Versus Arithmetic Average; W. L. Silber; The Question; Suppose you invest $435 in a zero coupon bond for one year and earn a ... Thus, we see that the arithmetic mean is bigger than the true annual average return because we know that .0998 is correct since we calculated it from ‘first principles’,
pages.stern.nyu.edu/~wsilber/Geometric%20Average%20Vers... pages.stern.nyu.edu/~wsilber/Geometric%20Average%20Versus%20Arithmetic%20Average.pdf
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