Variance in Bernoulli Distribution Calculator

✖Probability of Success is the probability of a specific outcome occurring in a single trial of a fixed number of independent Bernoulli trials.ⓘ Probability of Success [p]

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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 Bernoulli Distribution [σ²]

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Variance in Bernoulli Distribution

Formula

`"σ"^{"2"} = "p"*(1-"p")`

Example

`"0.24"="0.6"*(1-"0.6")`

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Variance in Bernoulli Distribution Solution

STEP 0: Pre-Calculation Summary

Formula Used

Variance of Data = Probability of Success*(1-Probability of Success)
σ² = p*(1-p)
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.
Probability of Success - Probability of Success is the probability of a specific outcome occurring in a single trial of a fixed number of independent Bernoulli trials.

STEP 1: Convert Input(s) to Base Unit

Probability of Success: 0.6 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ² = p*(1-p) --> 0.6*(1-0.6)

Evaluating ... ...

σ² = 0.24

STEP 3: Convert Result to Output's Unit

0.24 --> No Conversion Required

FINAL ANSWER

0.24 <-- Variance of Data

(Calculation completed in 00.004 seconds)

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Created by Nishan Poojary

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

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< 1 Distribution Calculators

Variance in Bernoulli Distribution

Go Variance of Data = Probability of Success*(1-Probability of Success)

Variance in Bernoulli Distribution Formula

Variance of Data = Probability of Success*(1-Probability of Success)
σ² = p*(1-p)

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 Bernoulli Distribution?

Variance in Bernoulli Distribution calculator uses Variance of Data = Probability of Success*(1-Probability of Success) to calculate the Variance of Data, Variance in Bernoulli Distribution formula is defined as the expectation of the squared deviation of the random variable associated with a statistical data following Bernoulli distribution, from its population mean or sample mean. Variance of Data is denoted by σ² symbol.

How to calculate Variance in Bernoulli Distribution using this online calculator? To use this online calculator for Variance in Bernoulli Distribution, enter Probability of Success (p) and hit the calculate button. Here is how the Variance in Bernoulli Distribution calculation can be explained with given input values -> 0.24 = 0.6*(1-0.6).

FAQ

What is Variance in Bernoulli Distribution?

Variance in Bernoulli Distribution formula is defined as the expectation of the squared deviation of the random variable associated with a statistical data following Bernoulli distribution, from its population mean or sample mean and is represented as σ² = p*(1-p) or Variance of Data = Probability of Success*(1-Probability of Success). Probability of Success is the probability of a specific outcome occurring in a single trial of a fixed number of independent Bernoulli trials.

How to calculate Variance in Bernoulli Distribution?

Variance in Bernoulli Distribution formula is defined as the expectation of the squared deviation of the random variable associated with a statistical data following Bernoulli distribution, from its population mean or sample mean is calculated using Variance of Data = Probability of Success*(1-Probability of Success). To calculate Variance in Bernoulli Distribution, you need Probability of Success (p). With our tool, you need to enter the respective value for Probability of Success 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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