In statistics, given a set of data, Statistics is a type of data analysis which practice includes the planning, summarizing, and interpreting of observations of a system possibly followed by predicting or forecasting of future events based on a mathematical model of the system being observed. ...
*X* = { *x*_{1}, *x*_{2}, ..., *x*_{n}} and corresponding weights, A weight function is a mathematical device used when performing a sum, integral, or average in order to give some elements more of a weight than others. ...
*W* = { *w*_{1}, *w*_{2}, ..., *w*_{n}} the **weighted harmonic mean** is calculated as Note that if all the weights are equal, the weighted harmonic mean is the same as the harmonic mean. In mathematics, the harmonic mean is one of several methods of calculating an average. ...
Weighted versions of other means can also be calculated. Probably the best known weighted mean is the weighted arithmetic mean, usually simply called the weighted mean. Another example of a weighted mean is the weighted geometric mean. In statistics, given a set of data, X = { x1, x2, ..., xn} and corresponding weights, W = { w1, w2, ..., wn} the weighted mean is calculated as Note that if all the weights are equal, the weighted mean is the same as the arithmetic mean. ...
In statistics, given a set of data, X = { x1, x2, ..., xn} and corresponding weights, W = { w1, w2, ..., wn} the weighted geometric mean is calculated as Note that if all the weights are equal, the weighted geometric mean is the same as the geometric mean. ...
## See also
average, summary statistics, central tendency In mathematics, there are numerous methods for calculating the average or central tendency of a list of n numbers. ...
In descriptive statistics, summary statistics are used to summarize a set of observations, in order to communicate as much as possible as simply as possible. ...
In statistics, central tendency is an average of a set of measurements, the word average being variously construed as mean, median, or other measure of location, depending on the context. ...
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