Mean of Variate in Flood Frequency Studies 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 Z Variate Sample
xm = xT-Kz*σ
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 Z Variate Sample - Standard Deviation of the Z Variate Sample follows a certain probability distribution of a hydrologic model.
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 Z Variate Sample: 1.25 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
xm = xT-Kz*σ --> 9.43-7*1.25
Evaluating ... ...
xm = 0.68
STEP 3: Convert Result to Output's Unit
0.68 --> No Conversion Required
FINAL ANSWER
0.68 <-- Mean of the Variate X
(Calculation completed in 00.004 seconds)

Credits

Creator Image
Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
Mithila Muthamma PA has created this Calculator and 2000+ more calculators!
Verifier Image
Verified by Chandana P Dev
NSS College of Engineering (NSSCE), Palakkad
Chandana P Dev has verified this Calculator and 1700+ more calculators!

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

Mean of Variate in Flood Frequency Studies Formula

​LaTeX ​Go
Mean of the Variate X = Variate 'X' with a Recurrence Interval-Frequency Factor*Standard Deviation of the Z Variate Sample
xm = xT-Kz*σ

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 of Variate in Flood Frequency Studies?

Mean of Variate in Flood Frequency Studies calculator uses Mean of the Variate X = Variate 'X' with a Recurrence Interval-Frequency Factor*Standard Deviation of the Z Variate Sample to calculate the Mean of the Variate X, The Mean of Variate in Flood Frequency Studies formula is defined as the mean value of the variate X of a random hydrologic series with a return period in the Hydrologic Frequency Analysis. Mean of the Variate X is denoted by xm symbol.

How to calculate Mean of Variate in Flood Frequency Studies using this online calculator? To use this online calculator for Mean of Variate in Flood Frequency Studies, enter Variate 'X' with a Recurrence Interval (xT), Frequency Factor (Kz) & Standard Deviation of the Z Variate Sample (σ) and hit the calculate button. Here is how the Mean of Variate in Flood Frequency Studies calculation can be explained with given input values -> 0.678 = 9.43-7*1.25.

FAQ

What is Mean of Variate in Flood Frequency Studies?
The Mean of Variate in Flood Frequency Studies formula is defined as the mean value of the variate X of a random hydrologic series with a return period in the Hydrologic Frequency Analysis and is represented as xm = xT-Kz or Mean of the Variate X = Variate 'X' with a Recurrence Interval-Frequency Factor*Standard Deviation of the Z Variate Sample. 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 Z Variate Sample follows a certain probability distribution of a hydrologic model.
How to calculate Mean of Variate in Flood Frequency Studies?
The Mean of Variate in Flood Frequency Studies formula is defined as the mean value of the variate X of a random hydrologic series with a return period in the Hydrologic Frequency Analysis is calculated using Mean of the Variate X = Variate 'X' with a Recurrence Interval-Frequency Factor*Standard Deviation of the Z Variate Sample. To calculate Mean of Variate in Flood Frequency Studies, you need Variate 'X' with a Recurrence Interval (xT), Frequency Factor (Kz) & Standard Deviation of the Z Variate Sample (σ). With our tool, you need to enter the respective value for Variate 'X' with a Recurrence Interval, Frequency Factor & Standard Deviation of the Z Variate Sample 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 Z Variate Sample. 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 Sample of Size N)
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!