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
Sn = (yT-yn)/Kz
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
Sn = (yT-yn)/Kz --> (4.08-0.577)/7
Evaluating ... ...
Sn = 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 00.020 seconds)

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

Reduced Variate 'Y' in Gumbel's Method
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
Go Reduced Variate 'Y' for Return Period = -(0.834+2.303*log10(log10(Return Period/(Return Period-1))))
Mean Variate given Variate 'x' with Recurrence Interval for Practical Use
Go Mean of the Variate X = Variate 'X' with a Recurrence Interval-(Frequency Factor*Standard Deviation of the Sample of Size N)
Frequency Factor given Variate 'x' concerning Return Period
Go Frequency Factor = (Variate 'X' with a Recurrence Interval-Mean of the Variate X)/Standard Deviation of the Z Variate Sample
Gumbel's Variate 'x' with Recurrence Interval for Practical Use
Go Variate 'X' with a Recurrence Interval = Mean of the Variate X+Frequency Factor*Standard Deviation of the Sample of Size N
General Equation of Hydrologic Frequency Analysis
Go Variate 'X' with a Recurrence Interval = Mean of the Variate X+Frequency Factor*Standard Deviation of the Z Variate Sample
Mean of Variate in Flood Frequency Studies
Go Mean of the Variate X = Variate 'X' with a Recurrence Interval-Frequency Factor*Standard Deviation of the Z Variate Sample
Reduced Variate when Frequency Factor and Standard Deviation is Considered
Go Reduced Variate 'Y' with Respect to Frequency = Frequency Factor*Standard Deviation of the Sample of Size N+Reduced Mean
Reduced Variate concerning Return Period
Go Reduced Variate 'Y' for Return Period = -(ln(ln(Return Period/(Return Period-1))))
Reduced Mean when Frequency Factor and Standard Deviation are Considered
Go Reduced Mean = Reduced Variate 'Y' for Return Period-(Frequency Factor*Reduced Standard Deviation)
Reduced Standard Deviation when Variate and Reduced Mean is Considered
Go Reduced Standard Deviation = (Reduced Variate 'Y' for Return Period-Reduced Mean)/Frequency Factor
Frequency Factor in Gumbel's Equation for Practical Use
Go Frequency Factor = (Reduced Variate 'Y' for Return Period-Reduced Mean)/Reduced Standard Deviation
Reduced Variate for Return Period when Frequency Factor is Considered
Go Reduced Variate 'Y' with Respect to Frequency = (Frequency Factor*1.2825)+0.577
Frequency Factor as applicable to Infinite Sample Size
Go Frequency Factor = (Reduced Variate 'Y' for Return Period-0.577)/1.2825

Reduced Standard Deviation when Variate and Reduced Mean is Considered Formula

Reduced Standard Deviation = (Reduced Variate 'Y' for Return Period-Reduced Mean)/Frequency Factor
Sn = (yT-yn)/Kz

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 Sn 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 (yT), Reduced Mean (yn) & Frequency Factor (Kz) 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 Sn = (yT-yn)/Kz 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 (yT), Reduced Mean (yn) & Frequency Factor (Kz). 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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