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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.
In mathematics, the range of a function may refer to either of two closely related concepts: the codomain of the function, or. the image of the function. In some cases the codomain and the image of a function are the same set; such a function is called surjective or onto. For any non-surjective function the codomain and the image are different ...
Reference range. In medicine and health -related fields, a reference range or reference interval is the range or the interval of values that is deemed normal for a physiological measurement in healthy persons (for example, the amount of creatinine in the blood, or the partial pressure of oxygen ). It is a basis for comparison for a physician or ...
Mid-range. 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: [ 1] The mid-range is closely related to the range, a measure of statistical dispersion defined as the difference between maximum and minimum values.
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.
Dynamic range. Dynamic range (abbreviated DR, DNR, [ 1] or DYR[ 2]) is the ratio between the largest and smallest values that a certain quantity can assume. It is often used in the context of signals, like sound and light. It is measured either as a ratio or as a base-10 ( decibel) or base-2 (doublings, bits or stops) logarithmic value of the ...
In mathematical analysis, the maximum and minimum[ a] of a function are, respectively, the largest and smallest value taken by the function. Known generically as extremum, [ b] they may be defined either within a given range (the local or relative extrema) or on the entire domain (the global or absolute extrema) of a function. [ 1][ 2][ 3 ...
A confidence interval for the parameter , with confidence level or coefficient , is an interval determined by random variables and with the property: The number , whose typical value is close to but not greater than 1, is sometimes given in the form (or as a percentage ), where is a small positive number, often 0.05.