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Variate 'b' given Probable Error Formula

GoEquation for Variate 'b' using Frequency Factor Formula

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Variable 'b' in Probable Error is the half-range of an interval about a central point for the distribution. Check FAQs

b = S e \cdot \frac{\sqrt{N}}{σ n-1}

b - Variable 'b' in Probable Error?S_e - Probable Error?N - Sample Size?σ_n-1 - Standard Deviation of the Sample of Size N?

Variate 'b' given Probable Error Example

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Here is how the Variate 'b' given Probable Error equation looks like with Values.

Here is how the Variate 'b' given Probable Error equation looks like with Units.

Here is how the Variate 'b' given Probable Error equation looks like.

7.9993 = 0.2 \cdot \frac{\sqrt{2621}}{1.28}

7.9993 = 0.2 \cdot \frac{\sqrt{2621}}{1.28}

7.9993 = 0.2 \cdot \frac{\sqrt{2621}}{1.28}

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Variate 'b' given Probable Error Solution

Follow our step by step solution on how to calculate Variate 'b' given Probable Error?

FIRST Step Consider the formula

b = S e \cdot \frac{\sqrt{N}}{σ n-1}

Next Step Substitute values of Variables

∴

b = 0.2 \cdot \frac{\sqrt{2621}}{1.28}

Next Step Prepare to Evaluate

∴

b = 0.2 \cdot \frac{\sqrt{2621}}{1.28}

Next Step Evaluate

∴

b = 7.99932858510638

LAST Step Rounding Answer

∴

b = 7.9993

Variate 'b' given Probable Error Formula Elements

Variables

Functions

Variable 'b' in Probable Error

Variable 'b' in Probable Error is the half-range of an interval about a central point for the distribution.

Symbol: b

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Variable 'b' in Probable Error

Probable Error

Probable Error is the half-range of an interval about a central point for the distribution and in Gumbel's method it defines the range of effective measurement increments.

Symbol: S_e

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Probable Error

Sample Size

Sample Size is the measure of the number of individual samples to establish the confidence limits.

Symbol: N

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Sample Size

Standard Deviation of the Sample of Size N

Standard Deviation of the Sample of Size N is the quantity expressed by how much it differs from the mean value for the group and also the square root of its variance.

Symbol: σ_n-1

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Standard Deviation of the Sample of Size N

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 to find Variable 'b' in Probable Error

Go Equation for Variate 'b' using Frequency Factor

b = \sqrt{1 + (1.3 \cdot K z) + (1.1 \cdot {K z}^{2})}

Other formulas in Confidence Limits category

Go Probable Error

S e = b \cdot (\frac{σ n-1}{\sqrt{N}})

Go Sample Size when Probable Error is Considered

N = {(\frac{b \cdot σ n-1}{S e})}^{2}

Go Confidence Interval of Variate

x 1 = x T + f c \cdot S e

Go Equation for Confidence Interval of Variate

x 1 = x T - f c \cdot S e

How to Evaluate Variate 'b' given Probable Error?

Variate 'b' given Probable Error evaluator uses Variable 'b' in Probable Error = Probable Error*sqrt(Sample Size)/Standard Deviation of the Sample of Size N to evaluate the Variable 'b' in Probable Error, The Variate 'b' given Probable Error formula is defined as the frequency factor to establish probable error in Gumbel's Probable Distribution function for extreme conditions. Variable 'b' in Probable Error is denoted by b symbol.

How to evaluate Variate 'b' given Probable Error using this online evaluator? To use this online evaluator for Variate 'b' given Probable Error, enter Probable Error (S_e), Sample Size (N) & Standard Deviation of the Sample of Size N (σ_n-1) and hit the calculate button.

FAQs on Variate 'b' given Probable Error

What is the formula to find Variate 'b' given Probable Error?

The formula of Variate 'b' given Probable Error is expressed as Variable 'b' in Probable Error = Probable Error*sqrt(Sample Size)/Standard Deviation of the Sample of Size N. Here is an example- 14.64839 = 0.2*sqrt(2621)/1.28.

How to calculate Variate 'b' given Probable Error?

With Probable Error (S_e), Sample Size (N) & Standard Deviation of the Sample of Size N (σ_n-1) we can find Variate 'b' given Probable Error using the formula - Variable 'b' in Probable Error = Probable Error*sqrt(Sample Size)/Standard Deviation of the Sample of Size N. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Variable 'b' in Probable Error?

Here are the different ways to Calculate Variable 'b' in Probable Error-

Variable 'b' in Probable Error=sqrt(1+(1.3*Frequency Factor)+(1.1*Frequency Factor^(2)))

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Variate 'b' given Probable Error Formula

​GoEquation for Variate 'b' using Frequency Factor Formula

Variate 'b' given Probable Error Example

Variate 'b' given Probable Error Solution

Variate 'b' given Probable Error Formula Elements

Other Formulas to find Variable 'b' in Probable Error

Other formulas in Confidence Limits category

How to Evaluate Variate 'b' given Probable Error?

FAQs on Variate 'b' given Probable Error

Variable Name

GoEquation for Variate 'b' using Frequency Factor Formula