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Reduced Standard Deviation when Variate and Reduced Mean is Considered Formula

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Reduced Standard Deviation, a function of sample size N is a measure which shows how much variation from the mean exists in Gumbel's Distribution Table. Check FAQs

S n = \frac{y T - y n}{K z}

S_n - Reduced Standard Deviation?y_T - Reduced Variate 'Y' for Return Period?y_n - Reduced Mean?K_z - Frequency Factor?

Reduced Standard Deviation when Variate and Reduced Mean is Considered Example

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Here is how the Reduced Standard Deviation when Variate and Reduced Mean is Considered equation looks like with Values.

Here is how the Reduced Standard Deviation when Variate and Reduced Mean is Considered equation looks like with Units.

Here is how the Reduced Standard Deviation when Variate and Reduced Mean is Considered equation looks like.

0.5004 = \frac{4.08 - 0.577}{7}

0.5004 = \frac{4.08 - 0.577}{7}

0.5004 = \frac{4.08 - 0.577}{7}

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Reduced Standard Deviation when Variate and Reduced Mean is Considered Solution

Follow our step by step solution on how to calculate Reduced Standard Deviation when Variate and Reduced Mean is Considered?

FIRST Step Consider the formula

S n = \frac{y T - y n}{K z}

Next Step Substitute values of Variables

∴

S n = \frac{4.08 - 0.577}{7}

Next Step Prepare to Evaluate

∴

S n = \frac{4.08 - 0.577}{7}

Next Step Evaluate

∴

S n = 0.500428571428571

LAST Step Rounding Answer

∴

S n = 0.5004

Reduced Standard Deviation when Variate and Reduced Mean is Considered Formula Elements

Variables

Reduced Standard Deviation

Reduced Standard Deviation, a function of sample size N is a measure which shows how much variation from the mean exists in Gumbel's Distribution Table.

Symbol: S_n

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Reduced Standard Deviation

Reduced Variate 'Y' for Return Period

Reduced Variate 'Y' for Return Period is a transformed variable allowed for Gumbel distribution used to model extreme values and return period T is expected years that a certain event will occur.

Symbol: y_T

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Reduced Variate 'Y' for Return Period

Reduced Mean

Reduced Mean, a function of sample size N in Gumbel's Extreme Value distribution.

Symbol: y_n

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Reduced Mean

Frequency Factor

Frequency Factor which varies between 5 to 30 according to rainfall duration is a function of recurrence interval (T) and the coefficient of skew (Cs).

Symbol: K_z

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Frequency Factor

Other formulas in Gumbel's Method for Prediction of Flood's Peak category

Go Reduced Variate 'Y' in Gumbel's Method

y = (\frac{1.285 \cdot (x T - x m)}{σ}) + 0.577

Go Reduced Variate concerning Return Period

y T = - (\ln (\ln (\frac{T r}{T r - 1})))

Go Reduced Variate 'Y' for given Return Period

y T = - (0.834 + 2.303 \cdot \log 10 (\log 10 (\frac{T r}{T r - 1})))

Go Frequency Factor as applicable to Infinite Sample Size

K z = \frac{y T - 0.577}{1.2825}

How to Evaluate Reduced Standard Deviation when Variate and Reduced Mean is Considered?

Reduced Standard Deviation when Variate and Reduced Mean is Considered evaluator uses Reduced Standard Deviation = (Reduced Variate 'Y' for Return Period-Reduced Mean)/Frequency Factor to evaluate the Reduced Standard Deviation, The Reduced Standard Deviation when Variate and Reduced Mean is Considered formula is defined as the function of sample N in Gumbel's probability distribution function for extreme flood predictions. Reduced Standard Deviation is denoted by S_n symbol.

How to evaluate Reduced Standard Deviation when Variate and Reduced Mean is Considered using this online evaluator? To use this online evaluator for Reduced Standard Deviation when Variate and Reduced Mean is Considered, enter Reduced Variate 'Y' for Return Period (y_T), Reduced Mean (y_n) & Frequency Factor (K_z) and hit the calculate button.

FAQs on Reduced Standard Deviation when Variate and Reduced Mean is Considered

What is the formula to find Reduced Standard Deviation when Variate and Reduced Mean is Considered?

The formula of Reduced Standard Deviation when Variate and Reduced Mean is Considered is expressed as Reduced Standard Deviation = (Reduced Variate 'Y' for Return Period-Reduced Mean)/Frequency Factor. Here is an example- 0.500429 = (4.08-0.577)/7.

How to calculate Reduced Standard Deviation when Variate and Reduced Mean is Considered?

With Reduced Variate 'Y' for Return Period (y_T), Reduced Mean (y_n) & Frequency Factor (K_z) we can find Reduced Standard Deviation when Variate and Reduced Mean is Considered using the formula - Reduced Standard Deviation = (Reduced Variate 'Y' for Return Period-Reduced Mean)/Frequency Factor.

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Reduced Standard Deviation when Variate and Reduced Mean is Considered Formula

Reduced Standard Deviation when Variate and Reduced Mean is Considered Example

Reduced Standard Deviation when Variate and Reduced Mean is Considered Solution

Reduced Standard Deviation when Variate and Reduced Mean is Considered Formula Elements

Other formulas in Gumbel's Method for Prediction of Flood's Peak category

How to Evaluate Reduced Standard Deviation when Variate and Reduced Mean is Considered?

FAQs on Reduced Standard Deviation when Variate and Reduced Mean is Considered

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