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Discrete vs. Continuous Variable: Know the Difference

Shumaila Saeed
By Shumaila Saeed || Published on January 26, 2024
Discrete variables represent countable, distinct values, while continuous variables can take any value within a range, including fractions.
Discrete vs. Continuous Variable

Key Differences

Discrete variables consist of separate, distinct values and are often counts of items or occurrences. Continuous variables, in contrast, can represent any value within a range, including decimals, and are often measurements.
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Jan 26, 2024
Examples of discrete variables include the number of students in a class or the number of cars in a parking lot. Examples of continuous variables include temperature, time, and weight, where the values can be infinitely precise.
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Discrete variables are often represented in graphs as isolated points. Continuous variables are represented by a continuous line or curve on a graph.
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In statistical analysis, discrete variables use methods like frequency counts and probability mass functions. Continuous variables are analyzed using probability density functions and can be described using intervals.
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Discrete variables have a finite number of possible values. Continuous variables, theoretically, have an infinite number of possible values within their range.
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Comparison Chart

Type of Values

Countable, distinct values
Any value within a range, including fractions
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Examples

Number of books, students in a class
Temperature, time, weight
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Graphical Representation

Isolated points
Continuous line or curve
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Statistical Analysis

Frequency counts, probability mass functions
Probability density functions, intervals
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Range of Values

Finite number of values
Infinite number of values within a range
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Discrete and Continuous Variable Definitions

Discrete

Discrete variables are countable.
The discrete variable showed the number of attendees at the event.
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Continuous Variable

A continuous variable can take any value within a range.
Temperature throughout the day is a continuous variable.
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Discrete

Discrete refers to distinct, separate values.
The number of cars in a parking lot is a discrete variable.
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Continuous Variable

Continuous implies uninterrupted and unbroken.
The continuous growth rate was plotted over the year.
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Discrete

Discrete can mean individually separate and distinct.
Each apartment in the building has a discrete electricity meter.
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Continuous Variable

Continuous can refer to a seamless whole without clear boundaries.
The sensor recorded light intensity as a continuous variable.
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Discrete

Discrete implies clear demarcation between elements.
The discrete categories in the database made searching easier.
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Continuous Variable

Continuous variables are measurable and can include fractions.
The continuous variable of time was measured in seconds.
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Discrete

Constituting a separate thing
Computers treat time as a series of discrete moments rather than a continuous flow.
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Continuous Variable

In statistics, continuous variables have an infinite set of possible values.
Height, as a continuous variable, was recorded in centimeters.
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Discrete

Consisting of unconnected distinct parts
Society viewed as a discrete whole of individual agents.
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Discrete

(Mathematics) Defined for a finite or countable set of values; not continuous.
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Discrete

Separate; distinct; individual; non-continuous.
A government with three discrete divisions
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Discrete

That can be perceived individually, not as connected to, or part of, something else.
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Discrete

(mathematics) Consisting of or permitting only distinct values drawn from a finite, countable set.
A discrete sum
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Discrete

(electrical engineering) Having separate electronic components, such as individual diodes, transistors and resistors, as opposed to integrated circuitry.
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Discrete

(audio engineering) Having separate and independent channels of audio, as opposed to multiplexed stereo or quadraphonic, or other multi-channel sound.
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Discrete

(topology) Having each singleton subset open: said of a topological space or a topology.
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Discrete

Disjunctive; containing a disjunctive or discretive clause.
"I resign my life, but not my honour" is a discrete proposition.
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Discrete

Separate; distinct; disjunct.
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Discrete

Disjunctive; containing a disjunctive or discretive clause; as, "I resign my life, but not my honor," is a discrete proposition.
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Discrete

Separate; not coalescent; - said of things usually coalescent.
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Discrete

To separate.
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Discrete

Constituting a separate entity or part;
A government with three discrete divisions
On two distinct occasions
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Discrete

In statistics, discrete variables have a finite range.
The survey responses used a discrete scale of 1 to 5.
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Repeatedly Asked Queries

What is a continuous variable?

A continuous variable can take any value within a range, often including fractions.
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Is age a discrete or continuous variable?

Age is typically considered a discrete variable when measured in whole years.
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Is weight a discrete or continuous variable?

Weight is a continuous variable as it can be measured with precision to fractions of a unit.
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What is a discrete variable?

A discrete variable is one that has specific, distinct values, typically countable.
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Can continuous variables be graphed?

Yes, continuous variables are graphed as continuous lines or curves.
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Are all integers discrete variables?

Yes, integers are discrete because they are countable and distinct.
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How do you analyze discrete data?

Discrete data is often analyzed using frequency counts, bar charts, and probability mass functions.
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Can discrete variables be negative?

Discrete variables can be negative if they represent countable quantities that can go below zero.
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Are continuous variables always in decimal form?

Not always, but continuous variables can include decimals to represent fractions between whole numbers.
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Can a continuous variable be converted to discrete?

Yes, a continuous variable can be made discrete by categorizing or rounding off its values.
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Can a continuous variable be categorical?

No, continuous variables are not categorical as they represent a range of values, not distinct categories.
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Can time be a continuous variable?

Yes, time is a continuous variable when measured precisely.
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How are continuous variables represented in data sets?

Continuous variables in data sets are represented by numbers that can take any value within their range.
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Is the number of visits to a website discrete?

Yes, the number of visits is a discrete variable as it counts distinct visits.
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Are all continuous variables infinite?

Continuous variables have an infinite number of possible values within a range, but the range itself may be finite.
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Is a Likert scale discrete or continuous?

A Likert scale is discrete as it consists of distinct, countable categories.
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Can continuous data be exact?

Continuous data can be very precise, but due to its nature, it is often subject to slight measurement variances.
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Is income discrete or continuous?

Income is typically treated as a continuous variable because it can be measured precisely to the cent.
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Is the number of children a discrete variable?

Yes, the number of children is a discrete variable since it involves counting whole, distinct units.
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Are all physical measurements continuous?

Most physical measurements are continuous, but they can be recorded as discrete data depending on the level of precision.
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About Author
Shumaila Saeed
Written by
Shumaila Saeed
Shumaila Saeed, an expert content creator with 6 years of experience, specializes in distilling complex topics into easily digestible comparisons, shining a light on the nuances that both inform and educate readers with clarity and accuracy.

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