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  2. Standard deviation - Wikipedia

    en.wikipedia.org/wiki/Standard_deviation

    This so-called range rule is useful in sample size estimation, as the range of possible values is easier to estimate than the standard deviation. Other divisors K ( N ) of the range such that s ≈ R / K ( N ) are available for other values of N and for non-normal distributions.

  3. Unbiased estimation of standard deviation - Wikipedia

    en.wikipedia.org/wiki/Unbiased_estimation_of...

    In statistics and in particular statistical theory, unbiased estimation of a standard deviation is the calculation from a statistical sample of an estimated value of the standard deviation (a measure of statistical dispersion) of a population of values, in such a way that the expected value of the calculation equals the true value.

  4. 68–95–99.7 rule - Wikipedia

    en.wikipedia.org/wiki/68–95–99.7_rule

    Range Expected fraction of population inside range Expected fraction of population outside range Approx. expected frequency outside range Approx. frequency outside range for daily event μ ± 0.5σ: 0.382 924 922 548 026: 0.6171 = 61.71 % 3 in 5 Four or five times a week μ ± σ: 0.682 689 492 137 086 [5] 0.3173 = 31.73 % 1 in 3 Twice or ...

  5. Prediction interval - Wikipedia

    en.wikipedia.org/wiki/Prediction_interval

    Prediction intervals are commonly used as definitions of reference ranges, such as reference ranges for blood tests to give an idea of whether a blood test is normal or not. For this purpose, the most commonly used prediction interval is the 95% prediction interval, and a reference range based on it can be called a standard reference range .

  6. Range (statistics) - Wikipedia

    en.wikipedia.org/wiki/Range_(statistics)

    In descriptive statistics, the range of a set of data is size of the narrowest interval which contains all the data. It is calculated as the difference between the largest and smallest values (also known as the sample maximum and minimum). [1] It is expressed in the same units as the data. The range provides an indication of statistical ...

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  8. Robust measures of scale - Wikipedia

    en.wikipedia.org/wiki/Robust_measures_of_scale

    One of the most common robust measures of scale is the interquartile range (IQR), the difference between the 75th percentile and the 25th percentile of a sample; this is the 25% trimmed range, an example of an L-estimator. Other trimmed ranges, such as the interdecile range (10% trimmed range) can also be used.

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