Means

thumb|Calculating the median in data sets of odd (above) and even (below) observations The median of a set of numbers is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution. For a data set, it may be thought of as the “middle" value. The basic feature of the median in describing data compared to the mean (often simply described as the "average") is that it is not skewed by a small proportion of extreme values, and therefore provides a better representation of the center. Median income, for example, may be a better way to descri

sum of a collection of numbers divided by the number of numbers in the collection

the n-th root of the product of n numbers

value that appears most often in a set of data

A mean is a quantity representing the "center" of a collection of numbers and is intermediate to the extreme values of the set of numbers. There are several kinds of means (or "measures of central tendency") in mathematics, especially in statistics. Each attempts to summarize or typify a given group of data, illustrating the magnitude and sign of the data set. Which of these measures is most illuminating depends on what is being measured, and on context and purpose.

In mathematics, an average of a collection or group is a value that is most central, common, or typical in some sense, and represents its overall position. In mathematics, it most commonly refers to the arithmetic mean, but may also refer to other measures such as other types of mean, the median, or the mode.

inverse of the average of the inverses of a set of numbers

statistic; square root of the mean of the squares

thumb|right|Centroid of a triangle

type of average

states that the arithmetic mean of a list of non-negative real numbers is greater than or equal to the geometric mean of the same list

term in mathematics

n-th root of the arithmetic mean of the given numbers raised to the power n

modified summation method applicable to some divergent series

classical average

number between two given numbers

statistical measure of central tendency

theorem

generalisation of means

statistic

point minimizing the distance to other points

statistical measure of central tendency that takes the mean of a winsorized dataset

mathematical concept

formula for the average value of a function over its domain

In statistics, the mid-range or mid-extreme is a measure of central tendency of a sample defined as the arithmetic mean of the maximum and minimum values of the data set:

mathematical relationships

statistic; cubic root of the mean of the cubes

concept in mathematics

Medoids are representative objects of a data set or a cluster within a data set whose sum of dissimilarities to all the objects in the cluster is minimal. Medoids are similar in concept to means or centroids, but medoids are always restricted to be members of the data set. Medoids are most commonly used on data when a mean or centroid cannot be defined, such as graphs. They are also used in contexts where the centroid is not representative of the dataset like in images, 3-D trajectories and gene expression (where while the data is sparse the medoid need not be). These are also of interest whil

mean in mathematics

Mathematic formula interpolating between minimum and maximum via arithmetic mean and harmonic mean

In statistics the trimean (TM), or '''Tukey's trimean''', is a measure of a probability distribution's central tendency defined as a weighted average of the distribution's quartiles: