Discrete vs. Continuous Variable: Know the Difference
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.
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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Jan 26, 2024
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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Jan 26, 2024
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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Jan 26, 2024
Discrete variables have a finite number of possible values. Continuous variables, theoretically, have an infinite number of possible values within their range.
Shumaila Saeed
Jan 26, 2024
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Comparison Chart
Type of Values
Countable, distinct values
Any value within a range, including fractions
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Jan 26, 2024
Statistical Analysis
Frequency counts, probability mass functions
Probability density functions, intervals
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Jan 26, 2024
Range of Values
Finite number of values
Infinite number of values within a range
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Jan 26, 2024
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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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Jan 05, 2024
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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Jan 05, 2024
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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Jan 26, 2024
Is age a discrete or continuous variable?
Age is typically considered a discrete variable when measured in whole years.
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Jan 26, 2024
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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Jan 26, 2024
What is a discrete variable?
A discrete variable is one that has specific, distinct values, typically countable.
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Jan 26, 2024
Can continuous variables be graphed?
Yes, continuous variables are graphed as continuous lines or curves.
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Jan 26, 2024
Are all integers discrete variables?
Yes, integers are discrete because they are countable and distinct.
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Jan 26, 2024
How do you analyze discrete data?
Discrete data is often analyzed using frequency counts, bar charts, and probability mass functions.
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Jan 26, 2024
Can discrete variables be negative?
Discrete variables can be negative if they represent countable quantities that can go below zero.
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Jan 26, 2024
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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Jan 26, 2024
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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Jan 26, 2024
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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Jan 26, 2024
Can time be a continuous variable?
Yes, time is a continuous variable when measured precisely.
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Jan 26, 2024
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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Jan 26, 2024
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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Jan 26, 2024
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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Jan 26, 2024
Is a Likert scale discrete or continuous?
A Likert scale is discrete as it consists of distinct, countable categories.
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Jan 26, 2024
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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Jan 26, 2024
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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Jan 26, 2024
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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Jan 26, 2024
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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Jan 26, 2024
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About Author
Written by
Shumaila SaeedShumaila 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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