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Variance in Exponential Distribution Calculator

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✖Population Parameter of Exponential Distribution is the value of the real number that used to define the exponential distribution function or the poisson distribution function.ⓘ Population Parameter of Exponential Distribution [λ]

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✖Variance of Data is the expectation of the squared deviation of the random variable associated with the given statistical data from its population mean or sample mean.ⓘ Variance in Exponential Distribution [σ²]

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Variance in Exponential Distribution Solution

STEP 0: Pre-Calculation Summary

Formula Used

Variance of Data = 1/(Population Parameter of Exponential Distribution^2)
σ² = 1/(λ^2)
This formula uses 2 Variables

Variables Used

Variance of Data - Variance of Data is the expectation of the squared deviation of the random variable associated with the given statistical data from its population mean or sample mean.
Population Parameter of Exponential Distribution - Population Parameter of Exponential Distribution is the value of the real number that used to define the exponential distribution function or the poisson distribution function.

STEP 1: Convert Input(s) to Base Unit

Population Parameter of Exponential Distribution: 2.5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ² = 1/(λ^2) --> 1/(2.5^2)

Evaluating ... ...

σ² = 0.16

STEP 3: Convert Result to Output's Unit

0.16 --> No Conversion Required

FINAL ANSWER

0.16 <-- Variance of Data

(Calculation completed in 00.004 seconds)

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Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi

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< Exponential Distribution Calculators

Exponential Distribution

LaTeX Go Probability of Occurrence of Atleast Two Events = 1-Probability of Non Occurrence of Any Event-Probability of Occurrence of Exactly One Event

Variance in Exponential Distribution

LaTeX Go Variance of Data = 1/(Population Parameter of Exponential Distribution^2)

Variance in Exponential Distribution Formula

LaTeX Go

Variance of Data = 1/(Population Parameter of Exponential Distribution^2)
σ² = 1/(λ^2)

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 in Exponential Distribution?

Variance in Exponential Distribution calculator uses Variance of Data = 1/(Population Parameter of Exponential Distribution^2) to calculate the Variance of Data, Variance in Exponential Distribution formula is defined as the expectation of the squared deviation of the random variable associated with a statistical data following exponential distribution, from its population mean or sample mean. Variance of Data is denoted by σ² symbol.

How to calculate Variance in Exponential Distribution using this online calculator? To use this online calculator for Variance in Exponential Distribution, enter Population Parameter of Exponential Distribution (λ) and hit the calculate button. Here is how the Variance in Exponential Distribution calculation can be explained with given input values -> 0.16 = 1/(2.5^2).

FAQ

What is Variance in Exponential Distribution?

Variance in Exponential Distribution formula is defined as the expectation of the squared deviation of the random variable associated with a statistical data following exponential distribution, from its population mean or sample mean and is represented as σ² = 1/(λ^2) or Variance of Data = 1/(Population Parameter of Exponential Distribution^2). Population Parameter of Exponential Distribution is the value of the real number that used to define the exponential distribution function or the poisson distribution function.

How to calculate Variance in Exponential Distribution?

Variance in Exponential Distribution formula is defined as the expectation of the squared deviation of the random variable associated with a statistical data following exponential distribution, from its population mean or sample mean is calculated using Variance of Data = 1/(Population Parameter of Exponential Distribution^2). To calculate Variance in Exponential Distribution, you need Population Parameter of Exponential Distribution (λ). With our tool, you need to enter the respective value for Population Parameter of Exponential Distribution 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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