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The cubic mean (written as \bar_\mathrm) is a specific instance of the generalized mean with p=3.


Definition

For n
real number In mathematics, a real number is a number that can be used to measure a ''continuous'' one-dimensional quantity such as a distance, duration or temperature. Here, ''continuous'' means that values can have arbitrarily small variations. Every real ...
s x_i \in \mathbb R the cubic mean is defined as: : \bar_\mathrm = \sqrt = \sqrt     For example, the cubic mean of two numbers is: :\sqrt /math>.


Applications

It is used for predicting the life expectancy of machine parts.


References

{{Reflist Means