Standard deviation

Geometric visualisation of the variance of the example distribution:A frequency distribution is constructed.The centroid of the distribution gives its mean.A square with sides equal to the difference of each value from the mean is formed for each value.Arranging the squares into a rectangle with one side equal to the number of values, n, results in the other side being the distribution's variance, σ².

Example of samples from two populations with the same mean but different standard deviations. Red population has mean 100 and SD 10; blue population has mean 100 and SD 50.

In statistics, the standard deviation (SD, also represented by the Greek letter sigma σ or s) is a measure that is used to quantify the amount of variation or dispersion of a set of data values. A low standard deviation indicates that the data points tend to be close to the mean (also called the expected value) of the set, while a high standard deviation indicates that the data points are spread out over a wider range of values.

单词	Three sigma
释义	Three sigma 原声例句科学60秒-科学美国人 2023年8月合集 And so we have to be really careful when we're actually saying that we're seeing the gravitational waves and we have between a three sigma and a four sigma detection. 因此，说看到引力波时我们必须非常小心。我们的探测结果介于 3 西格玛和 4 西格玛之间。英语百科 Standard deviation In statistics, the standard deviation (SD, also represented by the Greek letter sigma σ or s) is a measure that is used to quantify the amount of variation or dispersion of a set of data values. A low standard deviation indicates that the data points tend to be close to the mean (also called the expected value) of the set, while a high standard deviation indicates that the data points are spread out over a wider range of values.
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Three sigma

Standard deviation