Reduced Mean when Frequency Factor and Standard Deviation are Considered Calculator

✖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.ⓘ Reduced Variate 'Y' for Return Period [y_T]			+10% -10%
✖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).ⓘ Frequency Factor [K_z]			+10% -10%
✖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.ⓘ Reduced Standard Deviation [S_n]			+10% -10%

✖Reduced Mean, a function of sample size N in Gumbel's Extreme Value distribution.ⓘ Reduced Mean when Frequency Factor and Standard Deviation are Considered [y_n]

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Reduced Mean when Frequency Factor and Standard Deviation are Considered Solution

STEP 0: Pre-Calculation Summary

Formula Used

Reduced Mean = Reduced Variate 'Y' for Return Period-(Frequency Factor*Reduced Standard Deviation)
y_n = y_T-(K_z*S_n)
This formula uses 4 Variables

Variables Used

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

STEP 1: Convert Input(s) to Base Unit

Reduced Variate 'Y' for Return Period: 4.08 --> No Conversion Required
Frequency Factor: 7 --> No Conversion Required
Reduced Standard Deviation: 0.5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

y_n = y_T-(K_z*S_n) --> 4.08-(7*0.5)

Evaluating ... ...

y_n = 0.58

STEP 3: Convert Result to Output's Unit

0.58 --> No Conversion Required

FINAL ANSWER

0.58 <-- Reduced Mean

(Calculation completed in 00.020 seconds)

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< Gumbel's Method for Prediction of Flood's Peak Calculators

Reduced Variate 'Y' in Gumbel's Method

LaTeX Go Reduced Variate 'Y' = ((1.285*(Variate 'X' with a Recurrence Interval-Mean of the Variate X))/Standard Deviation of the Z Variate Sample)+0.577

Reduced Variate 'Y' for given Return Period

LaTeX Go Reduced Variate 'Y' for Return Period = -(0.834+2.303*log10(log10(Return Period/(Return Period-1))))

Reduced Variate concerning Return Period

LaTeX Go Reduced Variate 'Y' for Return Period = -(ln(ln(Return Period/(Return Period-1))))

Frequency Factor as applicable to Infinite Sample Size

LaTeX Go Frequency Factor = (Reduced Variate 'Y' for Return Period-0.577)/1.2825

Reduced Mean when Frequency Factor and Standard Deviation are Considered Formula

LaTeX Go

Reduced Mean = Reduced Variate 'Y' for Return Period-(Frequency Factor*Reduced Standard Deviation)
y_n = y_T-(K_z*S_n)

What is Flood Frequency Analysis?

Flood Frequency Analysis is a technique used by hydrologists to predict flow values corresponding to specific return periods or probabilities along a river. After choosing the probability distribution that best fits the annual maxima data, flood frequency curves are plotted.

What is Peak Discharge?

In Hydrology, the term Peak Discharge stands for the highest concentration of runoff from the basin area. The concentrated flow of the basin greatly exaggerates and overtops the natural or artificial bank, and this might be called a flood.

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

Reduced Mean when Frequency Factor and Standard Deviation are Considered calculator uses Reduced Mean = Reduced Variate 'Y' for Return Period-(Frequency Factor*Reduced Standard Deviation) to calculate 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 calculate Reduced Mean when Frequency Factor and Standard Deviation are Considered using this online calculator? To use this online calculator 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. Here is how the Reduced Mean when Frequency Factor and Standard Deviation are Considered calculation can be explained with given input values -> 0.58 = 4.08-(7*0.5).

FAQ

What is Reduced Mean when Frequency Factor and Standard Deviation are Considered?

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 and is represented as y_n = y_T-(K_z*S_n) or Reduced Mean = Reduced Variate 'Y' for Return Period-(Frequency Factor*Reduced Standard Deviation). 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, 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) & 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.

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

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 is calculated using Reduced Mean = Reduced Variate 'Y' for Return Period-(Frequency Factor*Reduced Standard Deviation). To calculate Reduced Mean when Frequency Factor and Standard Deviation are Considered, you need Reduced Variate 'Y' for Return Period (y_T), Frequency Factor (K_z) & Reduced Standard Deviation (S_n). With our tool, you need to enter the respective value for Reduced Variate 'Y' for Return Period, Frequency Factor & Reduced Standard Deviation and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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