# Umbrella term for maximum, minimum, median and average

I'm looking for an umbrella term for the maximum, the minimum, the median and the average of a sequence of numbers.

For the maximum and the minimum, such a term would, for example, be the extremum (Term for minimum or maximum).

For the median and the average, one could use measure of central tendency (http://www.quickmba.com/stats/centralten/).

A very generic term for all four words would be just measure.

Is there a more specific term?

• How about statistics? Commented Feb 7, 2019 at 18:31
• ... and this would typically include deviation too. Commented Feb 7, 2019 at 18:44
• These are examples of set functions: en.wikipedia.org/wiki/Set_function Commented Feb 7, 2019 at 18:48
• @WeatherVane The median of the sequence (1,3,1,1,1,2,1) is different from the median of the set {1,2,3}. Sequences can contain the same number more than once, sets cannot. See en.wikipedia.org/wiki/Sequence Commented Feb 7, 2019 at 20:18
• In databases, the term aggregate function is used. en.wikipedia.org/wiki/Aggregate_function Commented Feb 8, 2019 at 15:12

The functions you list are all examples of aggregate functions.

Common aggregate functions include:

• Average (i.e., arithmetic mean)
• Count
• Maximum
• Median
• Minimum
• Mode
• Range
• Sum

Unlike set functions, aggregate functions can work with multisets or sequences:

Formally, an aggregate function takes input a set, a multiset (bag), or a list from some input domain I and outputs an element of an output domain O. The input and output domains may be the same, such as for SUM, or may be different, such as for COUNT.

The term aggregate function is more common in programming (especially databases) than in mathematics.

Each one of these, max, min, mean, median, mode, variance, kurtosis, correlation coefficient, etc etc, and so on, is a

• This bypasses entirely the differences between set, multiset/bag, and sequence. Commented Feb 7, 2019 at 21:05
• For specifically the four given by OP, I'd suggest furthermore "summary statistics". Commented Feb 7, 2019 at 21:27