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Mean of Variate in Flood Frequency Studies Formula

GoMean Variate given Variate 'x' with Recurrence Interval for Practical Use Formula

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

x m = x T - K z \cdot σ

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

Mean of Variate in Flood Frequency Studies Example

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Here is how the Mean of Variate in Flood Frequency Studies equation looks like with Values.

Here is how the Mean of Variate in Flood Frequency Studies equation looks like with Units.

Here is how the Mean of Variate in Flood Frequency Studies equation looks like.

0.68 = 9.43 - 7 \cdot 1.25

0.68 = 9.43 - 7 \cdot 1.25

0.68 = 9.43 - 7 \cdot 1.25

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Mean of Variate in Flood Frequency Studies Solution

Follow our step by step solution on how to calculate Mean of Variate in Flood Frequency Studies?

FIRST Step Consider the formula

x m = x T - K z \cdot σ

Next Step Substitute values of Variables

∴

x m = 9.43 - 7 \cdot 1.25

Next Step Prepare to Evaluate

∴

x m = 9.43 - 7 \cdot 1.25

LAST Step Evaluate

∴

x m = 0.68

Mean of Variate in Flood Frequency Studies Formula Elements

Variables

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

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

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

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 Mean of the Variate X

Go Mean Variate given Variate 'x' with Recurrence Interval for Practical Use

x m = x T - (K z \cdot σ n-1)

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 Mean of Variate in Flood Frequency Studies?

Mean of Variate in Flood Frequency Studies evaluator uses Mean of the Variate X = Variate 'X' with a Recurrence Interval-Frequency Factor*Standard Deviation of the Z Variate Sample to evaluate the Mean of the Variate X, The Mean of Variate in Flood Frequency Studies formula is defined as the mean value of the variate X of a random hydrologic series with a return period in the Hydrologic Frequency Analysis. Mean of the Variate X is denoted by x_m symbol.

How to evaluate Mean of Variate in Flood Frequency Studies using this online evaluator? To use this online evaluator for Mean of Variate in Flood Frequency Studies, enter Variate 'X' with a Recurrence Interval (x_T), Frequency Factor (K_z) & Standard Deviation of the Z Variate Sample (σ) and hit the calculate button.

FAQs on Mean of Variate in Flood Frequency Studies

What is the formula to find Mean of Variate in Flood Frequency Studies?

The formula of Mean of Variate in Flood Frequency Studies is expressed as Mean of the Variate X = Variate 'X' with a Recurrence Interval-Frequency Factor*Standard Deviation of the Z Variate Sample. Here is an example- 0.678 = 9.43-7*1.25.

How to calculate Mean of Variate in Flood Frequency Studies?

With Variate 'X' with a Recurrence Interval (x_T), Frequency Factor (K_z) & Standard Deviation of the Z Variate Sample (σ) we can find Mean of Variate in Flood Frequency Studies using the formula - Mean of the Variate X = Variate 'X' with a Recurrence Interval-Frequency Factor*Standard Deviation of the Z Variate Sample.

What are the other ways to Calculate Mean of the Variate X?

Here are the different ways to Calculate Mean of the Variate X-

Mean of the Variate X=Variate 'X' with a Recurrence Interval-(Frequency Factor*Standard Deviation of the Sample of Size N)

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Mean of Variate in Flood Frequency Studies Formula

​GoMean Variate given Variate 'x' with Recurrence Interval for Practical Use Formula

Mean of Variate in Flood Frequency Studies Example

Mean of Variate in Flood Frequency Studies Solution

Mean of Variate in Flood Frequency Studies Formula Elements

Other Formulas to find Mean of the Variate X

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

How to Evaluate Mean of Variate in Flood Frequency Studies?

FAQs on Mean of Variate in Flood Frequency Studies

Variable Name

GoMean Variate given Variate 'x' with Recurrence Interval for Practical Use Formula