Standard Deviation given Flood Discharge Having Highest Frequency Calculator

✖Average Discharge is the average volumetric flow rate of flood.ⓘ Average Discharge [Q_av]			+10% -10%
✖Flood Discharge having Highest Frequency means it is the discharge value which have highest frequency.ⓘ Flood Discharge having Highest Frequency [Q_f]			+10% -10%

✖The Standard Deviation is a measure of how spread out numbers are.ⓘ Standard Deviation given Flood Discharge Having Highest Frequency [σ]

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Formula

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Standard Deviation given Flood Discharge Having Highest Frequency

Formula

`"σ" = ("Q"_{"av"}-"Q"_{"f"})/0.45`

Example

`"0.644444"=("20.29m³/s"-"20m³/s")/0.45`

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Standard Deviation given Flood Discharge Having Highest Frequency Solution

STEP 0: Pre-Calculation Summary

Formula Used

Standard Deviation = (Average Discharge-Flood Discharge having Highest Frequency)/0.45
σ = (Q_av-Q_f)/0.45
This formula uses 3 Variables

Variables Used

Standard Deviation - The Standard Deviation is a measure of how spread out numbers are.
Average Discharge - (Measured in Cubic Meter per Second) - Average Discharge is the average volumetric flow rate of flood.
Flood Discharge having Highest Frequency - (Measured in Cubic Meter per Second) - Flood Discharge having Highest Frequency means it is the discharge value which have highest frequency.

STEP 1: Convert Input(s) to Base Unit

Average Discharge: 20.29 Cubic Meter per Second --> 20.29 Cubic Meter per Second No Conversion Required
Flood Discharge having Highest Frequency: 20 Cubic Meter per Second --> 20 Cubic Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ = (Q_av-Q_f)/0.45 --> (20.29-20)/0.45

Evaluating ... ...

σ = 0.644444444444442

STEP 3: Convert Result to Output's Unit

0.644444444444442 --> No Conversion Required

FINAL ANSWER

0.644444444444442 ≈ 0.644444 <-- Standard Deviation

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Environmental Engineering » Surface Water Hydrology-III » Gumbel's Method » Standard Deviation given Flood Discharge Having Highest Frequency

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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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< 10+ Gumbel's Method Calculators

Gumbel's Constant given Gumbel's Reduced Variate

Go Gumbel's Constant = Gumbel's Reduced Variate/(Flood Discharge having Highest Frequency-Discharge)

Flood Discharge given Gumbel's Reduced Variate

Go Flood Discharge having Highest Frequency = (Gumbel's Reduced Variate/Gumbel's Constant)+Discharge

Gumbel's Reduced Variate

Go Gumbel's Reduced Variate = Gumbel's Constant*(Flood Discharge having Highest Frequency-Discharge)

Average Flood Discharge given Flood Discharge Having Highest Frequency

Go Average Discharge = Flood Discharge having Highest Frequency+(0.45*Standard Deviation)

Standard Deviation given Flood Discharge Having Highest Frequency

Go Standard Deviation = (Average Discharge-Flood Discharge having Highest Frequency)/0.45

Flood Discharge Having Highest Frequency

Go Flood Discharge having Highest Frequency = Average Discharge-(0.45*Standard Deviation)

Gumbel's Constant given Standard Deviation

Go Gumbel's Constant = 1.28/Standard Deviation

Standard Deviation given Gumbel's Constant

Go Standard Deviation = 1.28/Gumbel's Constant

Probability of Occurrence given Recurrence Interval

Go Probability = 1-(1/Recurrence Interval)

Recurrence Interval given Probability

Go Recurrence Interval = 1/(1-Probability)

Standard Deviation given Flood Discharge Having Highest Frequency Formula

Standard Deviation = (Average Discharge-Flood Discharge having Highest Frequency)/0.45
σ = (Q_av-Q_f)/0.45

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 Flood Discharge Having Highest Frequency?

Standard Deviation given Flood Discharge Having Highest Frequency calculator uses Standard Deviation = (Average Discharge-Flood Discharge having Highest Frequency)/0.45 to calculate the Standard Deviation, The Standard Deviation given Flood Discharge Having Highest Frequency 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 Flood Discharge Having Highest Frequency using this online calculator? To use this online calculator for Standard Deviation given Flood Discharge Having Highest Frequency, enter Average Discharge (Q_av) & Flood Discharge having Highest Frequency (Q_f) and hit the calculate button. Here is how the Standard Deviation given Flood Discharge Having Highest Frequency calculation can be explained with given input values -> -33.333333 = (20.29-20)/0.45.

FAQ

What is Standard Deviation given Flood Discharge Having Highest Frequency?

The Standard Deviation given Flood Discharge Having Highest Frequency is defined as the value of standard deviation when we have prior information of other parameters used and is represented as σ = (Q_av-Q_f)/0.45 or Standard Deviation = (Average Discharge-Flood Discharge having Highest Frequency)/0.45. Average Discharge is the average volumetric flow rate of flood & Flood Discharge having Highest Frequency means it is the discharge value which have highest frequency.

How to calculate Standard Deviation given Flood Discharge Having Highest Frequency?

The Standard Deviation given Flood Discharge Having Highest Frequency is defined as the value of standard deviation when we have prior information of other parameters used is calculated using Standard Deviation = (Average Discharge-Flood Discharge having Highest Frequency)/0.45. To calculate Standard Deviation given Flood Discharge Having Highest Frequency, you need Average Discharge (Q_av) & Flood Discharge having Highest Frequency (Q_f). With our tool, you need to enter the respective value for Average Discharge & Flood Discharge having Highest Frequency 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 Average Discharge & Flood Discharge having Highest Frequency. We can use 1 other way(s) to calculate the same, which is/are as follows -

Standard Deviation = 1.28/Gumbel's Constant

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