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

GoMean of Variate in Flood Frequency Studies 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 n-1)

x_m - Mean of the Variate X?x_T - Variate 'X' with a Recurrence Interval?K_z - Frequency Factor?σ_n-1 - Standard Deviation of the Sample of Size N?

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

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Here is how the Mean Variate given Variate 'x' with Recurrence Interval for Practical Use equation looks like with Values.

Here is how the Mean Variate given Variate 'x' with Recurrence Interval for Practical Use equation looks like with Units.

Here is how the Mean Variate given Variate 'x' with Recurrence Interval for Practical Use equation looks like.

0.47 = 9.43 - (7 \cdot 1.28)

0.47 = 9.43 - (7 \cdot 1.28)

0.47 = 9.43 - (7 \cdot 1.28)

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

Follow our step by step solution on how to calculate Mean Variate given Variate 'x' with Recurrence Interval for Practical Use?

FIRST Step Consider the formula

x m = x T - (K z \cdot σ n-1)

Next Step Substitute values of Variables

∴

x m = 9.43 - (7 \cdot 1.28)

Next Step Prepare to Evaluate

∴

x m = 9.43 - (7 \cdot 1.28)

Next Step Evaluate

∴

x m = 0.469999999999999

LAST Step Rounding Answer

∴

x m = 0.47

Mean Variate given Variate 'x' with Recurrence Interval for Practical Use 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 Sample of Size N

Standard Deviation of the Sample of Size N is the quantity expressed by how much it differs from the mean value for the group and also the square root of its variance.

Symbol: σ_n-1

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Standard Deviation of the Sample of Size N

Other Formulas to find Mean of the Variate X

Go Mean of Variate in Flood Frequency Studies

x m = x T - K z \cdot σ

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 Variate given Variate 'x' with Recurrence Interval for Practical Use?

Mean Variate given Variate 'x' with Recurrence Interval for Practical Use evaluator uses Mean of the Variate X = Variate 'X' with a Recurrence Interval-(Frequency Factor*Standard Deviation of the Sample of Size N) to evaluate the Mean of the Variate X, The Mean Variate given Variate 'x' with Recurrence Interval for Practical Use formula is defined as the dimensionless variable in Gumbel's method, the most widely used probability distribution's function values for extreme hydrologic and meteorological studies for prediction of flood peaks. Mean of the Variate X is denoted by x_m symbol.

How to evaluate Mean Variate given Variate 'x' with Recurrence Interval for Practical Use using this online evaluator? To use this online evaluator for Mean Variate given Variate 'x' with Recurrence Interval for Practical Use, enter Variate 'X' with a Recurrence Interval (x_T), Frequency Factor (K_z) & Standard Deviation of the Sample of Size N (σ_n-1) and hit the calculate button.

FAQs on Mean Variate given Variate 'x' with Recurrence Interval for Practical Use

What is the formula to find Mean Variate given Variate 'x' with Recurrence Interval for Practical Use?

The formula of Mean Variate given Variate 'x' with Recurrence Interval for Practical Use is expressed as Mean of the Variate X = Variate 'X' with a Recurrence Interval-(Frequency Factor*Standard Deviation of the Sample of Size N). Here is an example- 0.468 = 9.43-(7*1.28).

How to calculate Mean Variate given Variate 'x' with Recurrence Interval for Practical Use?

With Variate 'X' with a Recurrence Interval (x_T), Frequency Factor (K_z) & Standard Deviation of the Sample of Size N (σ_n-1) we can find Mean Variate given Variate 'x' with Recurrence Interval for Practical Use using the formula - Mean of the Variate X = Variate 'X' with a Recurrence Interval-(Frequency Factor*Standard Deviation of the Sample of Size N).

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 Z Variate Sample

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

​GoMean of Variate in Flood Frequency Studies Formula

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

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

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

FAQs on Mean Variate given Variate 'x' with Recurrence Interval for Practical Use

Variable Name

GoMean of Variate in Flood Frequency Studies Formula