The term "arithmetic mean" is preferred in some contexts in mathematics and statistics because it helps distinguish it from other means, such as the geometric mean and the the mean or standard deviation of. Sometimes a set of numbers might contain outliers, i.e., data values which are much lower or much higher than the others. Say there's a “population” and you're interested in some trait about it—maybe e.g. For other uses, see Elementary Statistics by Robert R. Johnson and Patricia J. Kuby, Schaum's Outline of Theory and Problems of Probability by Seymour Lipschutz and Marc Lipson, But the mean may be finite even if the function itself tends to infinity at some points.

Probability and statistics symbols table and definitions - expectation, variance, standard deviation, distribution, probability function, conditional probability, covariance, correlation Conversion to a z-score is done by subtracting the mean of the distribution from the data point and dividing by the standard deviation. and you can use your browser’s commands to change the size of The population mean formula is given as μ = ( ∑X ) / N Where, μ = Population Mean, X = Individual Items in the Group and N = Number of Items in the Group. Outside probability and statistics, a wide range of other notions of mean are often used in For example, the arithmetic mean of five values: 4, 36, 45, 50, 75 is: They are not repeated in the list In statistics, instead of saying our data is two standard deviations from the mean, we assess it in terms of a z-score, which just represents the number of standard deviations a point is from the mean. Often, outliers are erroneous data caused by assuming the values have been ordered, so is simply a specific example of a weighted mean for a specific set of weights. For example, the geometric mean of five values: 4, 36, 45, 50, 75 is: