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 = { x₁, x₂, ..., 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 = { w₁, w₂, ..., w_n}

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. The geometric mean of a set of positive data is defined as the product of all the members of the set, raised to a power equal to the reciprocal of the number of members. ...

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 harmonic 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 harmonic mean is calculated as Note that if all the weights are equal, the weighted harmonic mean is the same as the harmonic mean. ...

See also

• average
• central tendency
• summary statistics