Reduced Standard Deviation when Variate and Reduced Mean is 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%
✖Reduced Mean, a function of sample size N in Gumbel's Extreme Value distribution.ⓘ Reduced Mean [y_n]			+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 when Variate and Reduced Mean is Considered [S_n]

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Reduced Standard Deviation when Variate and Reduced Mean is Considered Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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

STEP 1: Convert Input(s) to Base Unit

Reduced Variate 'Y' for Return Period: 4.08 --> No Conversion Required
Reduced Mean: 0.577 --> No Conversion Required
Frequency Factor: 7 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S_n = (y_T-y_n)/K_z --> (4.08-0.577)/7

Evaluating ... ...

S_n = 0.500428571428571

STEP 3: Convert Result to Output's Unit

0.500428571428571 --> No Conversion Required

FINAL ANSWER

0.500428571428571 ≈ 0.500429 <-- Reduced Standard Deviation

(Calculation completed in 00.005 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 Standard Deviation when Variate and Reduced Mean is Considered Formula

LaTeX Go

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

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 Standard Deviation when Variate and Reduced Mean is Considered?

Reduced Standard Deviation when Variate and Reduced Mean is Considered calculator uses Reduced Standard Deviation = (Reduced Variate 'Y' for Return Period-Reduced Mean)/Frequency Factor to calculate the Reduced Standard Deviation, The Reduced Standard Deviation when Variate and Reduced Mean is Considered formula is defined as the function of sample N in Gumbel's probability distribution function for extreme flood predictions. Reduced Standard Deviation is denoted by S_n symbol.

How to calculate Reduced Standard Deviation when Variate and Reduced Mean is Considered using this online calculator? To use this online calculator for Reduced Standard Deviation when Variate and Reduced Mean is Considered, enter Reduced Variate 'Y' for Return Period (y_T), Reduced Mean (y_n) & Frequency Factor (K_z) and hit the calculate button. Here is how the Reduced Standard Deviation when Variate and Reduced Mean is Considered calculation can be explained with given input values -> 0.500429 = (4.08-0.577)/7.

FAQ

What is Reduced Standard Deviation when Variate and Reduced Mean is Considered?

The Reduced Standard Deviation when Variate and Reduced Mean is Considered formula is defined as the function of sample N in Gumbel's probability distribution function for extreme flood predictions and is represented as S_n = (y_T-y_n)/K_z or Reduced Standard Deviation = (Reduced Variate 'Y' for Return Period-Reduced Mean)/Frequency Factor. 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 Mean, a function of sample size N in Gumbel's Extreme Value distribution & 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).

How to calculate Reduced Standard Deviation when Variate and Reduced Mean is Considered?

The Reduced Standard Deviation when Variate and Reduced Mean is Considered formula is defined as the function of sample N in Gumbel's probability distribution function for extreme flood predictions is calculated using Reduced Standard Deviation = (Reduced Variate 'Y' for Return Period-Reduced Mean)/Frequency Factor. To calculate Reduced Standard Deviation when Variate and Reduced Mean is Considered, you need Reduced Variate 'Y' for Return Period (y_T), Reduced Mean (y_n) & Frequency Factor (K_z). With our tool, you need to enter the respective value for Reduced Variate 'Y' for Return Period, Reduced Mean & Frequency Factor 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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