![]() ![]() In other words a discrete variable over a particular interval of real values is one for which, for any value in the range that the variable is permitted to take on, there is a positive minimum distance to the nearest other permissible value. The reason is that any range of real numbers between a a and b b with a, b ∈ R a ≠ b, the set of natural numbers. In some contexts a variable can be discrete in some ranges of the number line and continuous in others.Ī continuous variable is a variable whose value is obtained by measuring, i.e., one which can take on an uncountable set of values.įor example, a variable over a non-empty range of the real numbers is continuous, if it can take on any value in that range. If it can take on a value such that there is a non- infinitesimal gap on each side of it containing no values that the variable can take on, then it is discrete around that value. If it can take on two particular real values such that it can also take on all real values between them (even values that are arbitrarily close together), the variable is continuous in that interval. ![]() In mathematics and statistics, a quantitative variable may be continuous or discrete if they are typically obtained by measuring or counting, respectively. ![]() JSTOR ( November 2015) ( Learn how and when to remove this template message).Unsourced material may be challenged and removed.įind sources: "Continuous or discrete variable" – news Please help improve this article by adding citations to reliable sources. ![]() This article incorporates material from Lebesgue decomposition theorem on PlanetMath, which is licensed under the Creative Commons Attribution/Share-Alike License.This article needs additional citations for verification.
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