# Difference Between Discrete And Continuous Variables In Statistics Pdf

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- Probability Distributions: Discrete vs. Continuous
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In mathematics , a variable may be continuous or discrete. 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. 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. A continuous variable is one which can take on an uncountable set of values. For example, a variable over a non-empty range of the real numbers is continuous, if it can take on any value in that range.

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If you're seeing this message, it means we're having trouble loading external resources on our website. To log in and use all the features of Khan Academy, please enable JavaScript in your browser. Donate Login Sign up Search for courses, skills, and videos. Math Statistics and probability Random variables Discrete random variables. Discrete and continuous random variables.

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In probability and statistics, a randomvariable is a variable whose value is subject to variations due to chance i. As opposed to other mathematical variables, a random variable conceptually does not have a single, fixed value even if unknown ; rather, it can take on a set of possible different values, each with an associated probability. Random variables can be classified as either discrete that is, taking any of a specified list of exact values or as continuous taking any numerical value in an interval or collection of intervals. The mathematical function describing the possible values of a random variable and their associated probabilities is known as a probability distribution. Discrete random variables can take on either a finite or at most a countably infinite set of discrete values for example, the integers.

## Probability Distributions: Discrete vs. Continuous

Discrete and continuous variables are two types of quantitative variables :. In scientific research, concepts are the abstract ideas or phenomena that are being studied e. Variables are properties or characteristics of the concept e. The process of turning abstract concepts into measurable variables and indicators is called operationalization. Quasi-experimental design is most useful in situations where it would be unethical or impractical to run a true experiment.

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Cross Validated is a question and answer site for people interested in statistics, machine learning, data analysis, data mining, and data visualization. It only takes a minute to sign up. Discrete data can only take particular values.

*Discrete and Continuous Random Variables:. A variable is a quantity whose value changes. A discrete variable is a variable whose value is obtained by counting.*

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