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Variance of Binomial Distribution Formula

GoVariance of Negative Binomial Distribution Formula

GoVariance in Binomial Distribution Formula

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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. Check FAQs

σ 2 = N Trials \cdot p \cdot q BD

σ² - Variance of Data?N_Trials - Number of Trials?p - Probability of Success?q_BD - Probability of Failure in Binomial Distribution?

Variance of Binomial Distribution Example

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Here is how the Variance of Binomial Distribution equation looks like with Values.

Here is how the Variance of Binomial Distribution equation looks like with Units.

Here is how the Variance of Binomial Distribution equation looks like.

2.4 = 10 \cdot 0.6 \cdot 0.4

2.4 = 10 \cdot 0.6 \cdot 0.4

2.4 = 10 \cdot 0.6 \cdot 0.4

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Variance of Binomial Distribution Solution

Follow our step by step solution on how to calculate Variance of Binomial Distribution?

FIRST Step Consider the formula

σ 2 = N Trials \cdot p \cdot q BD

Next Step Substitute values of Variables

∴

σ 2 = 10 \cdot 0.6 \cdot 0.4

Next Step Prepare to Evaluate

∴

σ 2 = 10 \cdot 0.6 \cdot 0.4

LAST Step Evaluate

∴

σ 2 = 2.4

Variance of Binomial Distribution Formula Elements

Variables

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.

Symbol: σ²

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Variance of Data

Number of Trials

Number of Trials is the total number of repetitions of a particular random experiment, under similar circumstances.

Symbol: N_Trials

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Trials

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.

Symbol: p

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Probability of Success

Probability of Failure in Binomial Distribution

Probability of Failure in Binomial Distribution is the probability of a specific outcome not occurring in a single trial of a fixed number of independent Bernoulli trials.

Symbol: q_BD

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Probability of Failure in Binomial Distribution

Other Formulas to find Variance of Data

Go Variance of Negative Binomial Distribution

σ 2 = \frac{N Success \cdot q BD}{p^{2}}

Go Variance in Binomial Distribution

σ 2 = N Trials \cdot p \cdot (1 - p)

Other formulas in Binomial Distribution category

Go Mean of Binomial Distribution

μ = N Trials \cdot p

Go Standard Deviation of Binomial Distribution

σ = \sqrt{N Trials \cdot p \cdot q BD}

Go Mean of Negative Binomial Distribution

μ = \frac{N Success \cdot q BD}{p}

Go Standard Deviation of Negative Binomial Distribution

σ = \frac{\sqrt{N Success \cdot q BD}}{p}

How to Evaluate Variance of Binomial Distribution?

Variance of Binomial Distribution evaluator uses Variance of Data = Number of Trials*Probability of Success*Probability of Failure in Binomial Distribution to evaluate the Variance of Data, Variance of Binomial Distribution formula is defined as the expectation of the squared deviation of the random variable that follows Binomial distribution, from its mean. Variance of Data is denoted by σ² symbol.

How to evaluate Variance of Binomial Distribution using this online evaluator? To use this online evaluator for Variance of Binomial Distribution, enter Number of Trials (N_Trials), Probability of Success (p) & Probability of Failure in Binomial Distribution (q_BD) and hit the calculate button.

FAQs on Variance of Binomial Distribution

What is the formula to find Variance of Binomial Distribution?

The formula of Variance of Binomial Distribution is expressed as Variance of Data = Number of Trials*Probability of Success*Probability of Failure in Binomial Distribution. Here is an example- 2.4 = 10*0.6*0.4.

How to calculate Variance of Binomial Distribution?

With Number of Trials (N_Trials), Probability of Success (p) & Probability of Failure in Binomial Distribution (q_BD) we can find Variance of Binomial Distribution using the formula - Variance of Data = Number of Trials*Probability of Success*Probability of Failure in Binomial Distribution.

What are the other ways to Calculate Variance of Data?

Here are the different ways to Calculate Variance of Data-

Variance of Data=(Number of Success*Probability of Failure in Binomial Distribution)/(Probability of Success^2)
Variance of Data=Number of Trials*Probability of Success*(1-Probability of Success)

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Variance of Binomial Distribution Formula

​GoVariance of Negative Binomial Distribution Formula

​GoVariance in Binomial Distribution Formula

Variance of Binomial Distribution Example

Variance of Binomial Distribution Solution

Variance of Binomial Distribution Formula Elements

Other Formulas to find Variance of Data

Other formulas in Binomial Distribution category

How to Evaluate Variance of Binomial Distribution?

FAQs on Variance of Binomial Distribution

Variable Name

GoVariance of Negative Binomial Distribution Formula

GoVariance in Binomial Distribution Formula