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19 Nov 06
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- Arithmetic mean - the sum of all measurements divided by the number of observations in the data set
- Median - the middle value that separates the higher half from the lower half of the data set
- Mode - the most frequent value in the data set
- Geometric mean - the nth root of the product of n data values
- Harmonic mean - the reciprocal of the arithmetic mean of the reciprocals of the data values
- Quadratic mean or root mean square (RMS) - the square root of the arithmetic mean of the squares of the data values
- Generalized mean - generalizing the above, the nth root of the arithmetic mean of the nth powers of the data values
- Weighted mean - an arithmetic mean that incorporates weighting to certain data elements
- Truncated mean - the arithmetic mean of data values after a certain number or proportion of the highest and lowest data values have been discarded
- Interquartile mean - a special case of the truncated mean
- Midrange - the arithmetic mean of the highest and lowest values of the data or distribution.
There are several different kinds of calculations for central tendency, the kind of calculation that should be used depends on the type of data (level of measurement) and purpose for which the central tendency is being calculated:
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average or central tendency of a set (list) of data refers to a measure of the "middle" of the data set. There are many different descriptive statistics that can be chosen as a measurement of the central tendency. 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.
In statistics, the term central tendency is used in some fields of empirical research to refer to what statisticians sometimes call "location". A "measure of central tendency" is either a location parameter or a statistic used to estimate a location parameter.
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