# Difference Between Discrete And Continuous Variables In Statistics Pdf

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- Discrete and continuous random variables
- What is the difference between discrete and continuous variables?
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All probability distributions can be classified as discrete probability distributions or as continuous probability distributions, depending on whether they define probabilities associated with discrete variables or continuous variables. If a variable can take on any value between two specified values, it is called a continuous variable ; otherwise, it is called a discrete variable. Just like variables, probability distributions can be classified as discrete or continuous. If a random variable is a discrete variable, its probability distribution is called a discrete probability distribution.

## Discrete and continuous random variables

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. A continuous variable is a variable whose value is obtained by measuring. A random variable is a variable whose value is a numerical outcome of a random phenomenon. A discrete random variable X has a countable number of possible values. Example : Let X represent the sum of two dice.

## What is the difference between discrete and continuous variables?

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. There may potentially be an infinite number of those values, but each is distinct and there's no grey area in between. Discrete data can be numeric -- like numbers of apples -- but it can also be categorical -- like red or blue, or male or female, or good or bad.

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. A quasi-experiment is a type of research design that attempts to establish a cause-and-effect relationship.

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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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A continuous random variable is a random variable that can assume any value The probability density function (p.d.f.) of X is a function which allocates probabilities. Example. What is the expected value when we roll a fair die? There are six Variance, Var(X), is defined as the average of the squared differences of X.