The arithmetic mean is the mathematical term for the "mean", i.e., the sum of the elements divided by the number of elements.
You can use this as a simple filtering technique by replacing the value X(k) in a series by the mean of the values [X(k-w) X(k-w+1) ... X(k+w-1) X(k+w)], where w is the window size of the filter. By moving over the elements of X, one by one, you have a so-called moving average filter . It is a common way to deal with noisy data. More information can be found here:
