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 = (Qav-Qf)/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 = (Qav-Qf)/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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Birsa Institute of Technology (BIT), Sindri
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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 = (Qav-Qf)/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 (Qav) & Flood Discharge having Highest Frequency (Qf) 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 = (Qav-Qf)/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 (Qav) & Flood Discharge having Highest Frequency (Qf). 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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