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Continuous Variable: Overview, Questions, Preparation

Statistics 2021 ( Maths Statistics )

This chapter has multiple topics listed below:
StatisticsStandard DeviationCorrelationBar GraphChi Square TestMeasures of Central TendencyVarianceExtrapolationNull HypothesisPareto ChartHarmonic MeanHow to find MedianStatistics DefinitionData Collection MethodsFrequency PolygonsCentral TendencyConfidence IntervalData HandlingStatistical InferenceQuota SamplingInterquartile RangeQuartilesVariance and Standard deviationCluster AnalysisCorrelation and RegressionGraphical RepresentationLeast Square MethodLevel of SignificancePaired T TestZ Score TableAssumed Mean MethodBox and Whisker PlotGamma DistributionSample SizeT DistributionTests of SignificanceTypes of StatisticsContinuous VariableSample StatisticExponential SmoothingT Test TableBivariate AnalysisRelative FrequencyDifference between Average and ...Difference between Mean and Med...Difference between Parametric a...Grouping dataStatistics pdfMean Absolute DeviationPopulation and Sample
Rachit Kumar Saxena

Rachit Kumar SaxenaManager-Editorial

Updated on Aug 13, 2021 14:11 IST
Table of Contents
  1. What is a Continuous Variable?
  2. Weightage of Continuous Variable in Class 9
  3. Illustrated Examples of Continuous Variables
  4. FAQs on Continuous Variables

What is a Continuous Variable?

A variable may be categorized in Mathematics into two groups, namely: discrete or continuous. If a variable can consider two or more different real values, all real values can also be taken between them (even values that are randomly close together). In this case, the variable in the interval given is continuous. If a variable requires a non-infinitesimal split on either side of the variable, which does not include any quantities, so this value is distinct. A vector can retain discrete values in some parts of the number line in some cases and continuous in other areas in others. 

Description of a Continuous Variable 

A continuous variable is described as a variable that may take on an infinite set of values or an uncountable set of values. E.g., if a variable is constant over a non-empty set of real numbers, it may take on any value in that range. Thus, with x, y ∈ R, and x ≠ y, the set of real numbers between x and y is said to be uncountable and infinite. 

Different calculus methods are also used in continuous optimization problems in which the factors are continuous. In addition, the probability distributions of constant variables in statistical theory may be stated in expressions of probability density functions. 

Categories of Continuous Variables 

Interval and ratio variables are two types of continuous variables. 

Instantaneous Variable

The gap or degree between a group that is equivalent and static can be described as a vector. For starters, during the summer, what is the average daytime temperature in Bangalore? 

Variable of ratio 

Another form of the constant variable is the Ratio Variable. There is just one deviation of this kind of variable from an interval variable. The only distinction is that knowledge about the relationship between the answers is supplied by the ratio between the scores.

Discrete and Constant Vector Differences

The key disparities between discrete and continuous variables are given below.

Discrete Variable

Continuous Variable

It is a vector whose worth, through counting, is obtained. 

It is a quantity whose worth is acquired by calculation. 
  • Around the Sun, the number of planets 
  • Amount of learners in a class 
  • The Number of Space Stars 
  • The students' height or weight in a given class 

There is a full set of listed numbers. 

The set of numbers defined is incomplete, i.e., infinity. 

It assumes a different or distinct meaning. 

Any value between the two values is presumed.

Example of Continuous Variables 

It will take forever to count constant variables. Take years, for instance. We're unable to count "age." For instance, it could be 39 years, 9 months, 7 days, 3 hours, 2 seconds, 5 milliseconds, 6 nanoseconds, 77 picoseconds, and so on.

Weightage of Continuous Variable in Class 9

This topic is taught in chapter statistics. You will learn about the basics of continuous variables and their types. This concept has relevance in higher classes. The weightage of this chapter is 5 marks in the final exam.

Illustrated Examples of Continuous Variables

1.Is GDP a variable that is continuous? 

Solution.
By default, GDP is continuous since everything is generated every moment. 

2.Is age a variable that is continuous? 

Solution.
A variable, if it may assume an infinite number of real values, is considered to be continuous. Age is a continuous variable. 

3. Is height a variable that is discrete? 

Solution.

Height is a continuous variable.

FAQs on Continuous Variables

Q: What will a continuous variable be an indicator of? 

A: If you are calculating height, weight, or time with your results, then you have a continuous variable.

Q: What is the discrete and continuous variable difference? 

A: A discrete variable is a variable whose meaning, by counting, is obtained. A continuous variable is a variable whose meaning, by calculation, is obtained. 

Q: What is an example of a quantitative continuous variable? 

A: Body fat, height, blood pressure, and cholesterol are examples of constant variables. 

Q: Is the population a factor that is continuous? 

A: In comparison to population counts that have values that differ in discrete intervals, population densities are averages which thus have values that vary constantly. It is not data that is spatially continuous. 

Q: How can you keep data continuous? 

A: You are needed to deduct 0.5 from the lower limit and add 0.5 to the upper limit to render class intervals continuous.
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