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Reduced Mean when Frequency Factor and Standard Deviation are Considered Formula

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

y n = y T - (K z \cdot S n)

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

Reduced Mean when Frequency Factor and Standard Deviation are Considered Example

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

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

Here is how the Reduced Mean when Frequency Factor and Standard Deviation are Considered equation looks like.

0.58 = 4.08 - (7 \cdot 0.5)

0.58 = 4.08 - (7 \cdot 0.5)

0.58 = 4.08 - (7 \cdot 0.5)

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Reduced Mean when Frequency Factor and Standard Deviation are Considered Solution

Follow our step by step solution on how to calculate Reduced Mean when Frequency Factor and Standard Deviation are Considered?

FIRST Step Consider the formula

y n = y T - (K z \cdot S n)

Next Step Substitute values of Variables

∴

y n = 4.08 - (7 \cdot 0.5)

Next Step Prepare to Evaluate

∴

y n = 4.08 - (7 \cdot 0.5)

LAST Step Evaluate

∴

y n = 0.58

Reduced Mean when Frequency Factor and Standard Deviation are Considered Formula Elements

Variables

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

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

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

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

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 Mean when Frequency Factor and Standard Deviation are Considered?

Reduced Mean when Frequency Factor and Standard Deviation are Considered evaluator uses Reduced Mean = Reduced Variate 'Y' for Return Period-(Frequency Factor*Reduced Standard Deviation) to evaluate the Reduced Mean, The Reduced Mean when Frequency Factor and Standard Deviation are Considered formula is defined as a dimensionless variable in Gumbel's method, the most widely used probability distribution function values for extreme hydrologic and meteorological studies for the prediction of flood peaks. Reduced Mean is denoted by y_n symbol.

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

FAQs on Reduced Mean when Frequency Factor and Standard Deviation are Considered

What is the formula to find Reduced Mean when Frequency Factor and Standard Deviation are Considered?

The formula of Reduced Mean when Frequency Factor and Standard Deviation are Considered is expressed as Reduced Mean = Reduced Variate 'Y' for Return Period-(Frequency Factor*Reduced Standard Deviation). Here is an example- 0.58 = 4.08-(7*0.5).

How to calculate Reduced Mean when Frequency Factor and Standard Deviation are Considered?

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

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Reduced Mean when Frequency Factor and Standard Deviation are Considered Formula

Reduced Mean when Frequency Factor and Standard Deviation are Considered Example

Reduced Mean when Frequency Factor and Standard Deviation are Considered Solution

Reduced Mean when Frequency Factor and Standard Deviation are Considered Formula Elements

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

How to Evaluate Reduced Mean when Frequency Factor and Standard Deviation are Considered?

FAQs on Reduced Mean when Frequency Factor and Standard Deviation are Considered

Variable Name