Average - Arithmetic mean

In mathematics, there are numerous methods for calculating the average or central tendency of a list of n numbers. The most common method, and the one generally referred to simply as the average, is the arithmetic mean. Please see the table of mathematical symbols for explanations of the symbols used. Average - Arithmetic mean. The arithmetic mean is the standard "average", often simply called the "mean". It is used for many purposes and may be abused by using it to describe skewed dist ...

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• Average - Arithmetic mean
• Average - Median
• Average - Mode
• Average - Other averages
• Average - Etymology

Read more here: » Average: Encyclopedia - Average

The arithmetic mean is the standard "average", often simply called the "mean". It is used for many purposes and may be abused by using it to describe skewed distributions, with highly misleading results. A classic example is average income. The arithmetic mean may be used to imply that most people's incomes are higher than is in fact the case. When presented with an "average" one may be led to believe that most people's incomes are near this number. This "average" (arithmetic mean) income is higher than most peopl ...

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Average, Average - Arithmetic mean, Average - Median, Average - Mode, Average - Other averages, Average - Etymology

Read more here: » Average: Encyclopedia II - Average - Arithmetic mean

The geometric mean, harmonic mean, generalized mean, weighted mean, truncated mean, and interquartile mean are described in their own articles and in the Mean article. Other more sophisticated averages, usually more representative of the whole dataset are: trimean, trimedian, and normalised mean, to name a few. One can create one's own average metric using the generic formula y = f -1((f(x1)+f(x2)+...+f(xn))/n) where f is any invertible function. For example, expmean (exponential mean) is a mean using the function f(x) = e^x and due to its natur ...

See also:

Average, Average - Arithmetic mean, Average - Median, Average - Mode, Average - Other averages, Average - Etymology

Read more here: » Average: Encyclopedia II - Average - Other averages