Variance of Scalar Multiple of Random Variable Calculator

✖Scalar Value c represents a constant number used for scaling or multiplying random variables.ⓘ Scalar Value c [c]			+10% -10%
✖Variance of Random Variable X is the measure of variability or dispersion of random variable X.ⓘ Variance of Random Variable X [σ²Random X]			+10% -10%

✖Variance of Scalar Multiple of Random Variable is the variance calculated when a random variable is multiplied by a constant scalar.ⓘ Variance of Scalar Multiple of Random Variable [V_cX]

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Formula

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Variance of Scalar Multiple of Random Variable

Formula

`"V"_{"cX"} = ("c"^2)*("σ"^{"2"}"Random X")`

Example

`"36"=(("2")^2)*"9"`

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Variance of Scalar Multiple of Random Variable Solution

STEP 0: Pre-Calculation Summary

Formula Used

Variance of Scalar Multiple of Random Variable = (Scalar Value c^2)*Variance of Random Variable X
V_cX = (c^2)*σ²Random X
This formula uses 3 Variables

Variables Used

Variance of Scalar Multiple of Random Variable - Variance of Scalar Multiple of Random Variable is the variance calculated when a random variable is multiplied by a constant scalar.
Scalar Value c - Scalar Value c represents a constant number used for scaling or multiplying random variables.
Variance of Random Variable X - Variance of Random Variable X is the measure of variability or dispersion of random variable X.

STEP 1: Convert Input(s) to Base Unit

Scalar Value c: 2 --> No Conversion Required
Variance of Random Variable X: 9 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_cX = (c^2)*σ²Random X --> (2^2)*9

Evaluating ... ...

V_cX = 36

STEP 3: Convert Result to Output's Unit

36 --> No Conversion Required

FINAL ANSWER

36 <-- Variance of Scalar Multiple of Random Variable

(Calculation completed in 00.004 seconds)

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Created by Anirudh Singh

National Institute of Technology (NIT), Jamshedpur

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< 5 Variance Calculators

Pooled Variance

Go Pooled Variance = (((Size of Sample X-1)*Variance of Sample X)+((Size of Sample Y-1)*Variance of Sample Y))/(Size of Sample X+Size of Sample Y-2)

Variance of Data

Go Variance of Data = (Sum of Squares of Individual Values/Number of Individual Values)-(Mean of Data^2)

Variance of Sum of Independent Random Variables

Go Variance of Sum of Independent Random Variables = Variance of Random Variable X+Variance of Random Variable Y

Variance of Scalar Multiple of Random Variable

Go Variance of Scalar Multiple of Random Variable = (Scalar Value c^2)*Variance of Random Variable X

Variance given Standard Deviation

Go Variance of Data = (Standard Deviation of Data)^2

Variance of Scalar Multiple of Random Variable Formula

Variance of Scalar Multiple of Random Variable = (Scalar Value c^2)*Variance of Random Variable X
V_cX = (c^2)*σ²Random X

What is Variance and the importance of Variance in Statistics?

Variance is a statistical tool used to analyze a statistical data. The word Variance is actually derived from the word variety that in terms of statistics means the difference among various scores and readings. Basically it is the expectation of the squared deviation of the associated random variable from its population mean or sample mean. Variance ensures accuracy as more Variance is considered good as compared to the low Variance or absolutely absence of any Variance. Variance in statistics is important as in a measurement it allows us to measure the dispersion of the set of the variables around their mean. These set of the variables are the variables that are being measured or analyzed. The presence of the Variance allows a statistician to draw some meaningful conclusion from the data. The advantage of Variance is that it treats all deviations from the mean as the same regardless of their direction.

How to Calculate Variance of Scalar Multiple of Random Variable?

Variance of Scalar Multiple of Random Variable calculator uses Variance of Scalar Multiple of Random Variable = (Scalar Value c^2)*Variance of Random Variable X to calculate the Variance of Scalar Multiple of Random Variable, Variance of Scalar Multiple of Random Variable formula is defined as the variance calculated when a random variable is multiplied by a constant scalar. Variance of Scalar Multiple of Random Variable is denoted by V_cX symbol.

How to calculate Variance of Scalar Multiple of Random Variable using this online calculator? To use this online calculator for Variance of Scalar Multiple of Random Variable, enter Scalar Value c (c) & Variance of Random Variable X (σ²Random X) and hit the calculate button. Here is how the Variance of Scalar Multiple of Random Variable calculation can be explained with given input values -> 36 = (2^2)*9.

FAQ

What is Variance of Scalar Multiple of Random Variable?

Variance of Scalar Multiple of Random Variable formula is defined as the variance calculated when a random variable is multiplied by a constant scalar and is represented as V_cX = (c^2)*σ²Random X or Variance of Scalar Multiple of Random Variable = (Scalar Value c^2)*Variance of Random Variable X. Scalar Value c represents a constant number used for scaling or multiplying random variables & Variance of Random Variable X is the measure of variability or dispersion of random variable X.

How to calculate Variance of Scalar Multiple of Random Variable?

Variance of Scalar Multiple of Random Variable formula is defined as the variance calculated when a random variable is multiplied by a constant scalar is calculated using Variance of Scalar Multiple of Random Variable = (Scalar Value c^2)*Variance of Random Variable X. To calculate Variance of Scalar Multiple of Random Variable, you need Scalar Value c (c) & Variance of Random Variable X (σ²Random X). With our tool, you need to enter the respective value for Scalar Value c & Variance of Random Variable X and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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