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Standard Deviation of Hypergeometric Distribution Formula

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Standard Deviation in Normal Distribution is the square root of expectation of the squared deviation of the given normal distribution following data from its population mean or sample mean. Check FAQs

σ = \sqrt{\frac{n \cdot N Success \cdot (N - N Success) \cdot (N - n)}{(N^{2}) \cdot (N - 1)}}

σ - Standard Deviation in Normal Distribution?n - Sample Size?N_Success - Number of Success?N - Population Size?

Standard Deviation of Hypergeometric Distribution Example

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Here is how the Standard Deviation of Hypergeometric Distribution equation looks like with Values.

Here is how the Standard Deviation of Hypergeometric Distribution equation looks like with Units.

Here is how the Standard Deviation of Hypergeometric Distribution equation looks like.

1.0448 = \sqrt{\frac{65 \cdot 5 \cdot (100 - 5) \cdot (100 - 65)}{(100^{2}) \cdot (100 - 1)}}

1.0448 = \sqrt{\frac{65 \cdot 5 \cdot (100 - 5) \cdot (100 - 65)}{(100^{2}) \cdot (100 - 1)}}

1.0448 = \sqrt{\frac{65 \cdot 5 \cdot (100 - 5) \cdot (100 - 65)}{(100^{2}) \cdot (100 - 1)}}

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Standard Deviation of Hypergeometric Distribution Solution

Follow our step by step solution on how to calculate Standard Deviation of Hypergeometric Distribution?

FIRST Step Consider the formula

σ = \sqrt{\frac{n \cdot N Success \cdot (N - N Success) \cdot (N - n)}{(N^{2}) \cdot (N - 1)}}

Next Step Substitute values of Variables

∴

σ = \sqrt{\frac{65 \cdot 5 \cdot (100 - 5) \cdot (100 - 65)}{(100^{2}) \cdot (100 - 1)}}

Next Step Prepare to Evaluate

∴

σ = \sqrt{\frac{65 \cdot 5 \cdot (100 - 5) \cdot (100 - 65)}{(100^{2}) \cdot (100 - 1)}}

Next Step Evaluate

∴

σ = 1.04476811017584

LAST Step Rounding Answer

∴

σ = 1.0448

Standard Deviation of Hypergeometric Distribution Formula Elements

Variables

Functions

Standard Deviation in Normal Distribution

Standard Deviation in Normal Distribution is the square root of expectation of the squared deviation of the given normal distribution following data from its population mean or sample mean.

Symbol: σ

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Standard Deviation in Normal Distribution

Sample Size

Sample Size is the total number of individuals present in a particular sample drawn from the given population under investigation.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Sample Size

Number of Success

Number of Success is the number of times that a specific outcome which is set as the success of the event occurs in a fixed number of independent Bernoulli trials.

Symbol: N_Success

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Success

Population Size

Population Size is the total number of individuals present in the given population under investigation.

Symbol: N

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Population Size

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other formulas in Hypergeometric Distribution category

Go Mean of Hypergeometric Distribution

μ = \frac{n \cdot N Success}{N}

Go Variance of Hypergeometric Distribution

σ 2 = \frac{n \cdot N Success \cdot (N - N Success) \cdot (N - n)}{(N^{2}) \cdot (N - 1)}

Go Hypergeometric Distribution

P Hypergeometric = \frac{C (m Sample, x Sample) \cdot C (N Population - m Sample, n Population - x Sample)}{C (N Population, n Population)}

How to Evaluate Standard Deviation of Hypergeometric Distribution?

Standard Deviation of Hypergeometric Distribution evaluator uses Standard Deviation in Normal Distribution = sqrt((Sample Size*Number of Success*(Population Size-Number of Success)*(Population Size-Sample Size))/((Population Size^2)*(Population Size-1))) to evaluate the Standard Deviation in Normal Distribution, Standard Deviation of Hypergeometric Distribution formula is defined as the square root of expectation of the squared deviation of the random variable that follows Hypergeometric distribution, from its mean. Standard Deviation in Normal Distribution is denoted by σ symbol.

How to evaluate Standard Deviation of Hypergeometric Distribution using this online evaluator? To use this online evaluator for Standard Deviation of Hypergeometric Distribution, enter Sample Size (n), Number of Success (N_Success) & Population Size (N) and hit the calculate button.

FAQs on Standard Deviation of Hypergeometric Distribution

What is the formula to find Standard Deviation of Hypergeometric Distribution?

The formula of Standard Deviation of Hypergeometric Distribution is expressed as Standard Deviation in Normal Distribution = sqrt((Sample Size*Number of Success*(Population Size-Number of Success)*(Population Size-Sample Size))/((Population Size^2)*(Population Size-1))). Here is an example- 1.044768 = sqrt((65*5*(100-5)*(100-65))/((100^2)*(100-1))).

How to calculate Standard Deviation of Hypergeometric Distribution?

With Sample Size (n), Number of Success (N_Success) & Population Size (N) we can find Standard Deviation of Hypergeometric Distribution using the formula - Standard Deviation in Normal Distribution = sqrt((Sample Size*Number of Success*(Population Size-Number of Success)*(Population Size-Sample Size))/((Population Size^2)*(Population Size-1))). This formula also uses Square Root (sqrt) function(s).

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Standard Deviation of Hypergeometric Distribution Formula

Standard Deviation of Hypergeometric Distribution Example

Standard Deviation of Hypergeometric Distribution Solution

Standard Deviation of Hypergeometric Distribution Formula Elements

Other formulas in Hypergeometric Distribution category

How to Evaluate Standard Deviation of Hypergeometric Distribution?

FAQs on Standard Deviation of Hypergeometric Distribution

Variable Name