Editing Average (section)

==General properties==
If all numbers in a list are the same number, then their average is also equal to this number. This property is shared by each of the many types of average.

Another universal property is [[monotonicity]]: if two lists of numbers ''A'' and ''B'' have the same length, and each entry of list ''A'' is at least as large as the corresponding entry on list ''B'', then the average of list ''A'' is at least that of list ''B''. Also, all averages satisfy [[Homogeneous function|linear homogeneity]]: if all numbers of a list are multiplied by the same positive number, then its average changes by the same factor.

In some types of average, the items in the list are assigned different weights before the average is determined. These include the [[weighted arithmetic mean]], the [[weighted geometric mean]] and the [[weighted median]]. Also, for some types of [[moving average]], the weight of an item depends on its position in the list. Most types of average, however, satisfy [[permutation]]-insensitivity: all items count equally in determining their average value and their positions in the list are irrelevant; the average of (1, 2, 3, 4, 6) is the same as that of (3, 2, 6, 4, 1).