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- Mean abstract "In mathematics, mean has several different definitions depending on the context.In probability and statistics, mean and expected value are used synonymously to refer to one measure of the central tendency either of a probability distribution or of the random variable characterized by that distribution. In the case of a discrete probability distribution of a random variable X, the mean is equal to the sum over every possible value weighted by the probability of that value; that is, it is computed by taking the product of each possible value x of X and its probability P(x), and then adding all these products together, giving . An analogous formula applies to the case of a continuous probability distribution. Not every probability distribution has a defined mean; see the Cauchy distribution for an example. Moreover, for some distributions the mean is infinite: for example, when the probability of the value is for n = 1, 2, 3, .... For a data set, the terms arithmetic mean, mathematical expectation, and sometimes average are used synonymously to refer to a central value of a discrete set of numbers: specifically, the sum of the values divided by the number of values. The arithmetic mean of a set of numbers x1, x2, ..., xn is typically denoted by , pronounced "x bar". If the data set were based on a series of observations obtained by sampling from a statistical population, the arithmetic mean is termed the sample mean (denoted ) to distinguish it from the population mean (denoted or ).For a finite population, the population mean of a property is equal to the arithmetic mean of the given property while considering every member of the population. For example, the population mean height is equal to the sum of the heights of every individual divided by the total number of individuals. The sample mean may differ from the population mean, especially for small samples. The law of large numbers dictates that the larger the size of the sample, the more likely it is that the sample mean will be close to the population mean.Outside of probability and statistics, a wide range of other notions of "mean" are often used in geometry and analysis; examples are given below.".
- Mean wikiPageExternalLink means-trapezoid.
- Mean wikiPageExternalLink calculator-geommean.htm.
- Mean wikiPageID "19192".
- Mean wikiPageRevisionID "603212919".
- Mean hasPhotoCollection Mean.
- Mean title "Arithmetic Mean".
- Mean title "Mean".
- Mean urlname "ArithmeticMean".
- Mean urlname "Mean".
- Mean subject Category:Means.
- Mean subject Category:Statistical_terminology.
- Mean subject Category:Theory_of_probability_distributions.
- Mean comment "In mathematics, mean has several different definitions depending on the context.In probability and statistics, mean and expected value are used synonymously to refer to one measure of the central tendency either of a probability distribution or of the random variable characterized by that distribution.".
- Mean label "Mean".
- Mean label "Media".
- Mean label "Théorème de la moyenne".
- Mean label "Среднее значение".
- Mean label "平均数".
- Mean sameAs Théorème_de_la_moyenne.
- Mean sameAs m.04vp4.
- Mean sameAs Q2796622.
- Mean sameAs Q2796622.
- Mean wasDerivedFrom Mean?oldid=603212919.
- Mean isPrimaryTopicOf Mean.