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Frequency Factor given Variate 'x' concerning Return Period Formula

GoFrequency Factor as applicable to Infinite Sample Size Formula

GoFrequency Factor in Gumbel's Equation for Practical Use Formula

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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). Check FAQs

K z = \frac{x T - x m}{σ}

K_z - Frequency Factor?x_T - Variate 'X' with a Recurrence Interval?x_m - Mean of the Variate X?σ - Standard Deviation of the Z Variate Sample?

Frequency Factor given Variate 'x' concerning Return Period Example

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Here is how the Frequency Factor given Variate 'x' concerning Return Period equation looks like with Values.

Here is how the Frequency Factor given Variate 'x' concerning Return Period equation looks like with Units.

Here is how the Frequency Factor given Variate 'x' concerning Return Period equation looks like.

7.0816 = \frac{9.43 - 0.578}{1.25}

7.0816 = \frac{9.43 - 0.578}{1.25}

7.0816 = \frac{9.43 - 0.578}{1.25}

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Frequency Factor given Variate 'x' concerning Return Period Solution

Follow our step by step solution on how to calculate Frequency Factor given Variate 'x' concerning Return Period?

FIRST Step Consider the formula

K z = \frac{x T - x m}{σ}

Next Step Substitute values of Variables

∴

K z = \frac{9.43 - 0.578}{1.25}

Next Step Prepare to Evaluate

∴

K z = \frac{9.43 - 0.578}{1.25}

LAST Step Evaluate

∴

K z = 7.0816

Frequency Factor given Variate 'x' concerning Return Period Formula Elements

Variables

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

Variate 'X' with a Recurrence Interval

Variate 'X' with a Recurrence Interval of a random hydrologic series with a return period.

Symbol: x_T

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Variate 'X' with a Recurrence Interval

Mean of the Variate X

Mean of the Variate X of a random hydrologic series with a return period.

Symbol: x_m

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Mean of the Variate X

Standard Deviation of the Z Variate Sample

Standard Deviation of the Z Variate Sample follows a certain probability distribution of a hydrologic model.

Symbol: σ

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Standard Deviation of the Z Variate Sample

Other Formulas to find Frequency Factor

Go Frequency Factor as applicable to Infinite Sample Size

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

Go Frequency Factor in Gumbel's Equation for Practical Use

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

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 Reduced Variate for Return Period when Frequency Factor is Considered

y tf = (K z \cdot 1.2825) + 0.577

How to Evaluate Frequency Factor given Variate 'x' concerning Return Period?

Frequency Factor given Variate 'x' concerning Return Period evaluator uses Frequency Factor = (Variate 'X' with a Recurrence Interval-Mean of the Variate X)/Standard Deviation of the Z Variate Sample to evaluate the Frequency Factor, The Frequency Factor given Variate 'x' concerning Return Period formula is defined as a factor used to compare and relate results and attach probabilities to several sets of maximum rainfall data. K is primarily a function of the recurrence interval for a particular probability distribution. Frequency Factor is denoted by K_z symbol.

How to evaluate Frequency Factor given Variate 'x' concerning Return Period using this online evaluator? To use this online evaluator for Frequency Factor given Variate 'x' concerning Return Period, enter Variate 'X' with a Recurrence Interval (x_T), Mean of the Variate X (x_m) & Standard Deviation of the Z Variate Sample (σ) and hit the calculate button.

FAQs on Frequency Factor given Variate 'x' concerning Return Period

What is the formula to find Frequency Factor given Variate 'x' concerning Return Period?

The formula of Frequency Factor given Variate 'x' concerning Return Period is expressed as Frequency Factor = (Variate 'X' with a Recurrence Interval-Mean of the Variate X)/Standard Deviation of the Z Variate Sample. Here is an example- 7.08 = (9.43-0.578)/1.25.

How to calculate Frequency Factor given Variate 'x' concerning Return Period?

With Variate 'X' with a Recurrence Interval (x_T), Mean of the Variate X (x_m) & Standard Deviation of the Z Variate Sample (σ) we can find Frequency Factor given Variate 'x' concerning Return Period using the formula - Frequency Factor = (Variate 'X' with a Recurrence Interval-Mean of the Variate X)/Standard Deviation of the Z Variate Sample.

What are the other ways to Calculate Frequency Factor?

Here are the different ways to Calculate Frequency Factor-

Frequency Factor=(Reduced Variate 'Y' for Return Period-0.577)/1.2825
Frequency Factor=(Reduced Variate 'Y' for Return Period-Reduced Mean)/Reduced Standard Deviation

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Frequency Factor given Variate 'x' concerning Return Period Formula

​GoFrequency Factor as applicable to Infinite Sample Size Formula

​GoFrequency Factor in Gumbel's Equation for Practical Use Formula

Frequency Factor given Variate 'x' concerning Return Period Example

Frequency Factor given Variate 'x' concerning Return Period Solution

Frequency Factor given Variate 'x' concerning Return Period Formula Elements

Other Formulas to find Frequency Factor

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

How to Evaluate Frequency Factor given Variate 'x' concerning Return Period?

FAQs on Frequency Factor given Variate 'x' concerning Return Period

Variable Name

GoFrequency Factor as applicable to Infinite Sample Size Formula

GoFrequency Factor in Gumbel's Equation for Practical Use Formula