Standard Deviation given Gumbel's Constant Solution

STEP 0: Pre-Calculation Summary
Formula Used
Standard Deviation = 1.28/Gumbel's Constant
σ = 1.28/a
This formula uses 2 Variables
Variables Used
Standard Deviation - The Standard Deviation refers to a measure of how spread-out numbers are.
Gumbel's Constant - Gumbel's Constant refers to a statistical parameter used in extreme value theory to model the distribution of extreme events like floods or droughts.
STEP 1: Convert Input(s) to Base Unit
Gumbel's Constant: 2.01 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
σ = 1.28/a --> 1.28/2.01
Evaluating ... ...
σ = 0.63681592039801
STEP 3: Convert Result to Output's Unit
0.63681592039801 --> No Conversion Required
FINAL ANSWER
0.63681592039801 0.636816 <-- Standard Deviation
(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
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Meerut Institute of Engineering and Technology (MIET), Meerut
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Gumbel's Method Calculators

Gumbel's Constant given Gumbel's Reduced Variate
​ LaTeX ​ Go Gumbel's Constant = Gumbel's Reduced Variate/(Flood Discharge having Highest Frequency-Flood Discharge)
Flood Discharge given Gumbel's Reduced Variate
​ LaTeX ​ Go Flood Discharge having Highest Frequency = (Gumbel's Reduced Variate/Gumbel's Constant)+Flood Discharge
Gumbel's Reduced Variate
​ LaTeX ​ Go Gumbel's Reduced Variate = Gumbel's Constant*(Flood Discharge having Highest Frequency-Flood Discharge)
Flood Discharge Having Highest Frequency
​ LaTeX ​ Go Flood Discharge having Highest Frequency = Average Discharge-(0.45*Standard Deviation)

Standard Deviation given Gumbel's Constant Formula

​LaTeX ​Go
Standard Deviation = 1.28/Gumbel's Constant
σ = 1.28/a

What is Standard Deviation ?

The standard deviation is a measure of the amount of variation or dispersion of a set of values. A low standard deviation indicates that the values tend to be close to the mean of the set, while a high standard deviation indicates that the values are spread out over a wider range.

How to Calculate Standard Deviation given Gumbel's Constant?

Standard Deviation given Gumbel's Constant calculator uses Standard Deviation = 1.28/Gumbel's Constant to calculate the Standard Deviation, Standard Deviation given Gumbel's Constant is defined as the value of standard deviation when we have prior information of other parameters used. Standard Deviation is denoted by σ symbol.

How to calculate Standard Deviation given Gumbel's Constant using this online calculator? To use this online calculator for Standard Deviation given Gumbel's Constant, enter Gumbel's Constant (a) and hit the calculate button. Here is how the Standard Deviation given Gumbel's Constant calculation can be explained with given input values -> 0.64 = 1.28/2.01.

FAQ

What is Standard Deviation given Gumbel's Constant?
Standard Deviation given Gumbel's Constant is defined as the value of standard deviation when we have prior information of other parameters used and is represented as σ = 1.28/a or Standard Deviation = 1.28/Gumbel's Constant. Gumbel's Constant refers to a statistical parameter used in extreme value theory to model the distribution of extreme events like floods or droughts.
How to calculate Standard Deviation given Gumbel's Constant?
Standard Deviation given Gumbel's Constant is defined as the value of standard deviation when we have prior information of other parameters used is calculated using Standard Deviation = 1.28/Gumbel's Constant. To calculate Standard Deviation given Gumbel's Constant, you need Gumbel's Constant (a). With our tool, you need to enter the respective value for Gumbel's Constant 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 Standard Deviation?
In this formula, Standard Deviation uses Gumbel's Constant. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Standard Deviation = (Average Discharge-Flood Discharge having Highest Frequency)/0.45
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