Variate 'b' given Probable Error Calculator

✖Probable Error is the half-range of an interval about a central point for the distribution and in Gumbel's method it defines the range of effective measurement increments.ⓘ Probable Error [S_e]			+10% -10%
✖Sample Size is the measure of the number of individual samples to establish the confidence limits.ⓘ Sample Size [N]			+10% -10%
✖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.ⓘ Standard Deviation of the Sample of Size N [σ_n-1]			+10% -10%

✖Variable 'b' in Probable Error is the half-range of an interval about a central point for the distribution.ⓘ Variate 'b' given Probable Error [b]

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Download Gumbel's Method for Prediction of Flood's Peak Formulas PDF PDF Image

Variate 'b' given Probable Error Solution

STEP 0: Pre-Calculation Summary

Formula Used

Variable 'b' in Probable Error = Probable Error*sqrt(Sample Size)/Standard Deviation of the Sample of Size N
b = S_e*sqrt(N)/σ_n-1
This formula uses 1 Functions, 4 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Variable 'b' in Probable Error - Variable 'b' in Probable Error is the half-range of an interval about a central point for the distribution.
Probable Error - Probable Error is the half-range of an interval about a central point for the distribution and in Gumbel's method it defines the range of effective measurement increments.
Sample Size - Sample Size is the measure of the number of individual samples to establish the confidence limits.
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

Probable Error: 0.2 --> No Conversion Required
Sample Size: 2621 --> 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

b = S_e*sqrt(N)/σ_n-1 --> 0.2*sqrt(2621)/1.28

Evaluating ... ...

b = 7.99932858510638

STEP 3: Convert Result to Output's Unit

7.99932858510638 --> No Conversion Required

FINAL ANSWER

7.99932858510638 ≈ 7.999329 <-- Variable 'b' in Probable Error

(Calculation completed in 00.004 seconds)

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< Confidence Limits Calculators

Probable Error

LaTeX Go Probable Error = Variable 'b' in Probable Error*(Standard Deviation of the Sample of Size N/sqrt(Sample Size))

Variate 'b' given Probable Error

LaTeX Go Variable 'b' in Probable Error = Probable Error*sqrt(Sample Size)/Standard Deviation of the Sample of Size N

Sample Size when Probable Error is Considered

LaTeX Go Sample Size = ((Variable 'b' in Probable Error*Standard Deviation of the Sample of Size N)/Probable Error)^2

Equation for Variate 'b' using Frequency Factor

LaTeX Go Variable 'b' in Probable Error = sqrt(1+(1.3*Frequency Factor)+(1.1*Frequency Factor^(2)))

Variate 'b' given Probable Error Formula

LaTeX Go

Variable 'b' in Probable Error = Probable Error*sqrt(Sample Size)/Standard Deviation of the Sample of Size N
b = S_e*sqrt(N)/σ_n-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. The application of statistical frequency curves to floods was first introduced by Gumbel.

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 Variate 'b' given Probable Error?

Variate 'b' given Probable Error calculator uses Variable 'b' in Probable Error = Probable Error*sqrt(Sample Size)/Standard Deviation of the Sample of Size N to calculate the Variable 'b' in Probable Error, The Variate 'b' given Probable Error formula is defined as the frequency factor to establish probable error in Gumbel's Probable Distribution function for extreme conditions. Variable 'b' in Probable Error is denoted by b symbol.

How to calculate Variate 'b' given Probable Error using this online calculator? To use this online calculator for Variate 'b' given Probable Error, enter Probable Error (S_e), Sample Size (N) & Standard Deviation of the Sample of Size N (σ_n-1) and hit the calculate button. Here is how the Variate 'b' given Probable Error calculation can be explained with given input values -> 14.64839 = 0.2*sqrt(2621)/1.28.

FAQ

What is Variate 'b' given Probable Error?

The Variate 'b' given Probable Error formula is defined as the frequency factor to establish probable error in Gumbel's Probable Distribution function for extreme conditions and is represented as b = S_e*sqrt(N)/σ_n-1 or Variable 'b' in Probable Error = Probable Error*sqrt(Sample Size)/Standard Deviation of the Sample of Size N. Probable Error is the half-range of an interval about a central point for the distribution and in Gumbel's method it defines the range of effective measurement increments, Sample Size is the measure of the number of individual samples to establish the confidence limits & 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 Variate 'b' given Probable Error?

The Variate 'b' given Probable Error formula is defined as the frequency factor to establish probable error in Gumbel's Probable Distribution function for extreme conditions is calculated using Variable 'b' in Probable Error = Probable Error*sqrt(Sample Size)/Standard Deviation of the Sample of Size N. To calculate Variate 'b' given Probable Error, you need Probable Error (S_e), Sample Size (N) & Standard Deviation of the Sample of Size N (σ_n-1). With our tool, you need to enter the respective value for Probable Error, Sample Size & 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 Variable 'b' in Probable Error?

In this formula, Variable 'b' in Probable Error uses Probable Error, Sample Size & Standard Deviation of the Sample of Size N. We can use 1 other way(s) to calculate the same, which is/are as follows -

Variable 'b' in Probable Error = sqrt(1+(1.3*Frequency Factor)+(1.1*Frequency Factor^(2)))

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