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

STEP 0: Pre-Calculation Summary
Formula Used
Mean of the Variate X = Variate 'X' with a Recurrence Interval-(Frequency Factor*Standard Deviation of the Sample of Size N)
xm = xT-(Kz*σn-1)
This formula uses 4 Variables
Variables Used
Mean of the Variate X - Mean of the Variate X of a random hydrologic series with a return period.
Variate 'X' with a Recurrence Interval - Variate 'X' with a Recurrence Interval of a random hydrologic series with a return period.
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).
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.
STEP 1: Convert Input(s) to Base Unit
Variate 'X' with a Recurrence Interval: 9.43 --> No Conversion Required
Frequency Factor: 7 --> No Conversion Required
Standard Deviation of the Sample of Size N: 1.28 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
xm = xT-(Kzn-1) --> 9.43-(7*1.28)
Evaluating ... ...
xm = 0.469999999999999
STEP 3: Convert Result to Output's Unit
0.469999999999999 --> No Conversion Required
FINAL ANSWER
0.469999999999999 0.47 <-- Mean of the Variate X
(Calculation completed in 00.004 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

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

Mean of the Variate X = Variate 'X' with a Recurrence Interval-(Frequency Factor*Standard Deviation of the Sample of Size N)
xm = xT-(Kz*σn-1)

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

Mean Variate given Variate 'x' with Recurrence Interval for Practical Use calculator uses Mean of the Variate X = Variate 'X' with a Recurrence Interval-(Frequency Factor*Standard Deviation of the Sample of Size N) to calculate 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 xm symbol.

How to calculate Mean Variate given Variate 'x' with Recurrence Interval for Practical Use using this online calculator? To use this online calculator for Mean Variate given Variate 'x' with Recurrence Interval for Practical Use, enter Variate 'X' with a Recurrence Interval (xT), Frequency Factor (Kz) & Standard Deviation of the Sample of Size N n-1) and hit the calculate button. Here is how the Mean Variate given Variate 'x' with Recurrence Interval for Practical Use calculation can be explained with given input values -> 0.468 = 9.43-(7*1.28).

FAQ

What is Mean Variate given Variate 'x' with Recurrence Interval for Practical Use?
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 and is represented as xm = xT-(Kzn-1) or Mean of the Variate X = Variate 'X' with a Recurrence Interval-(Frequency Factor*Standard Deviation of the Sample of Size N). Variate 'X' with a Recurrence Interval of a random hydrologic series with a return period, 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) & 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.
How to calculate Mean Variate given Variate 'x' with Recurrence Interval for Practical Use?
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 is calculated using Mean of the Variate X = Variate 'X' with a Recurrence Interval-(Frequency Factor*Standard Deviation of the Sample of Size N). To calculate Mean Variate given Variate 'x' with Recurrence Interval for Practical Use, you need Variate 'X' with a Recurrence Interval (xT), Frequency Factor (Kz) & Standard Deviation of the Sample of Size N n-1). With our tool, you need to enter the respective value for Variate 'X' with a Recurrence Interval, Frequency Factor & Standard Deviation of the Sample of Size N and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Mean of the Variate X?
In this formula, Mean of the Variate X uses Variate 'X' with a Recurrence Interval, Frequency Factor & Standard Deviation of the Sample of Size N. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Mean of the Variate X = Variate 'X' with a Recurrence Interval-Frequency Factor*Standard Deviation of the Z Variate Sample
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