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Standard Deviation given Gumbel's Constant Formula

GoStandard Deviation given Flood Discharge Having Highest Frequency Formula

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The Standard Deviation refers to a measure of how spread-out numbers are. Check FAQs

σ = \frac{1.28}{a}

σ - Standard Deviation?a - Gumbel's Constant?

Standard Deviation given Gumbel's Constant Example

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Here is how the Standard Deviation given Gumbel's Constant equation looks like with Values.

Here is how the Standard Deviation given Gumbel's Constant equation looks like with Units.

Here is how the Standard Deviation given Gumbel's Constant equation looks like.

0.6368 = \frac{1.28}{2.01}

0.6368 = \frac{1.28}{2.01}

0.6368 = \frac{1.28}{2.01}

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Standard Deviation given Gumbel's Constant Solution

Follow our step by step solution on how to calculate Standard Deviation given Gumbel's Constant?

FIRST Step Consider the formula

σ = \frac{1.28}{a}

Next Step Substitute values of Variables

∴

σ = \frac{1.28}{2.01}

Next Step Prepare to Evaluate

∴

σ = \frac{1.28}{2.01}

Next Step Evaluate

∴

σ = 0.63681592039801

LAST Step Rounding Answer

∴

σ = 0.6368

Standard Deviation given Gumbel's Constant Formula Elements

Variables

Standard Deviation

The Standard Deviation refers to a measure of how spread-out numbers are.

Symbol: σ

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Standard Deviation

Gumbel's Constant

Gumbel's Constant refers to a statistical parameter used in extreme value theory to model the distribution of extreme events like floods or droughts.

Symbol: a

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Gumbel's Constant

Other Formulas to find Standard Deviation

Go Standard Deviation given Flood Discharge Having Highest Frequency

σ = \frac{Q av - Q f}{0.45}

Other formulas in Gumbel's Method category

Go Gumbel's Reduced Variate

y = a \cdot (Q f - Q fe)

Go Gumbel's Constant given Gumbel's Reduced Variate

a = \frac{y}{Q f - Q fe}

Go Flood Discharge given Gumbel's Reduced Variate

Q f = (\frac{y}{a}) + Q fe

Go Flood Discharge Having Highest Frequency

Q f = Q av - (0.45 \cdot σ)

How to Evaluate Standard Deviation given Gumbel's Constant?

Standard Deviation given Gumbel's Constant evaluator uses Standard Deviation = 1.28/Gumbel's Constant to evaluate the Standard Deviation, Standard Deviation given Gumbel's Constant is defined as the value of standard deviation when we have prior information of other parameters used. Standard Deviation is denoted by σ symbol.

How to evaluate Standard Deviation given Gumbel's Constant using this online evaluator? To use this online evaluator for Standard Deviation given Gumbel's Constant, enter Gumbel's Constant (a) and hit the calculate button.

FAQs on Standard Deviation given Gumbel's Constant

What is the formula to find Standard Deviation given Gumbel's Constant?

The formula of Standard Deviation given Gumbel's Constant is expressed as Standard Deviation = 1.28/Gumbel's Constant. Here is an example- 0.64 = 1.28/2.01.

How to calculate Standard Deviation given Gumbel's Constant?

With Gumbel's Constant (a) we can find Standard Deviation given Gumbel's Constant using the formula - Standard Deviation = 1.28/Gumbel's Constant.

What are the other ways to Calculate Standard Deviation?

Here are the different ways to Calculate Standard Deviation-

Standard Deviation=(Average Discharge-Flood Discharge having Highest Frequency)/0.45

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