what is the difference between a discrete variable and a continuous variable?
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"A discrete variable is one that can take on finitely many, or countably infinitely many values", whereas a continuous random variable is one that is not discrete, i.e. "can take on uncountably infinitely many values", such as a spectrum of real numbers.
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In other words, continuous variation is where the different types of variations are distributed on a continuum, while discontinuous variation is where the different types of variations are placed into discrete, individual categories. Examples of continuous variation include things like a person's height and weight.
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Discrete data involves round, concrete numbers that are determined by counting. Continuous data involves complex numbers that are measured across a specific time interval. A simple way to describe the difference between the two is to visualize a scatter plot graph vs.
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b) Discrete Probability distribution consists of the values a random variable can assume and the corresponding probabilities of the values. a) All probabilities must between 0 and 1 b) The sum of the probabilities must add up to 1. Continuous RANDOM VARIABLE – The number of values that X can assume is INFINITE.
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A discrete variable is a variable which can only take a countable number of values. In this example, the number of heads can only take 4 values (0, 1, 2, 3) and so the variable is discrete. The variable is said to be random if the sum of the probabilities is one.
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A variable that is "a number". Age, height, score on an exam, response on a Likert scale on a survey are all continuous variable. It can be ordinal, interval or ratio types. Examples of continuous variables are blood pressure, height, weight, income, and age.
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A discrete variable takes on individual distinct values, and a continuous variable can take on any value within an interval.
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Continuous variables are numeric variables that have an infinite number of values between any two values. A continuous variable can be numeric or date/time. For example, the length of a part or the date and time a payment is received.
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Explanation: Discrete data is data where it has to be from a certain set of values e.g a shoe size can only be a certain value. The height is continuous as the height could take multiple values e.g from 10m all the way up 18.95m.
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Discrete data can only take particular values. ... Continuous data are not restricted to defined separate values, but can occupy any value over a continuous range. Between any two continuous data values, there may be an infinite number of others. Continuous data are always essentially numeric.
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The key difference between a variable and a constant is: The value stored in a variable can/may change during the running of the program. The value stored in a constant cannot be changed during the running of the program.
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If a random variable is a discrete variable, its probability distribution is called a discrete probability distribution. ... The random variable X can only take on the values 0, 1, or 2, so it is a discrete random variable. The probability distribution for this statistical experiment appears below.
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Let's review. A discrete function is a function with distinct and separate values. A continuous function, on the other hand, is a function that can take on any number within a certain interval. Discrete functions have scatter plots as graphs and continuous functions have lines or curves as graphs.
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Categorical variables contain a finite number of categories or distinct groups. Categorical data might not have a logical order. ... Continuous variables are numeric variables that have an infinite number of values between any two values. A continuous variable can be numeric or date/time.
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Digital electronics involves quantities with discrete values, and analog electronics involves quantities with continuous values. A digital quantity is one having a discrete set of values. Most things that can be measured quantitatively occur in nature in analog form. For example, S(t) = f(t), Fig.
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Money changes in steps of 1p and so is a discrete variable. However, if you are dealing with hundreds of pounds the steps are so small that it may be treated as a continuous variable.
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A discrete random variable is a variable that represents numbers found by counting. For example: number of marbles in a jar, number of students present or number of heads when tossing two coins.