Frequency Factor given Z Series for Recurrence Interval Solution

STEP 0: Pre-Calculation Summary
Formula Used
Frequency Factor = (Z Series for any Recurrence Interval-Mean of Z Variates)/Standard Deviation of the Z Variate Sample
Kz = (Zt-zm)/σ
This formula uses 4 Variables
Variables Used
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).
Z Series for any Recurrence Interval - Z Series for any Recurrence Interval in Log-Pearson Type III Distribution.
Mean of Z Variates - Mean of Z Variates for 'x' variate of a random hydrologic cycle.
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
Z Series for any Recurrence Interval: 9.5 --> No Conversion Required
Mean of Z Variates: 0.77 --> No Conversion Required
Standard Deviation of the Z Variate Sample: 1.25 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Kz = (Zt-zm)/σ --> (9.5-0.77)/1.25
Evaluating ... ...
Kz = 6.984
STEP 3: Convert Result to Output's Unit
6.984 --> No Conversion Required
FINAL ANSWER
6.984 <-- Frequency Factor
(Calculation completed in 00.004 seconds)

Credits

Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
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Meerut Institute of Engineering and Technology (MIET), Meerut
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8 Log-Pearson Type III Distribution Calculators

Frequency Factor given Z Series for Recurrence Interval
Go Frequency Factor = (Z Series for any Recurrence Interval-Mean of Z Variates)/Standard Deviation of the Z Variate Sample
Mean Series of Z Variates given Z Series for Recurrence Interval
Go Mean of Z Variates = Z Series for any Recurrence Interval-Frequency Factor*Standard Deviation of the Z Variate Sample
Equation for Z Series for any Recurrence Interval
Go Z Series for any Recurrence Interval = Mean of Z Variates+Frequency Factor*Standard Deviation of the Z Variate Sample
Partial Duration Series
Go Partial Duration Series = 1/((ln(Annual Series))-(ln(Annual Series-1)))
Coefficient of Skew of Variate Z given Adjusted Coefficient of Skew
Go Coefficient of Skew of Variate Z = Adjusted Coefficient of Skew/((1+8.5)/Sample Size)
Adjusted Coefficient of Skew
Go Adjusted Coefficient of Skew = Coefficient of Skew of Variate Z*((1+8.5)/Sample Size)
Sample Size given Adjusted Coefficient of Skew
Go Sample Size = Coefficient of Skew of Variate Z*(1+8.5)/Adjusted Coefficient of Skew
Equation for Base Series of Z Variates
Go Mean of Z Variates = log10(Variate 'z' of a Random Hydrologic Cycle)

Frequency Factor given Z Series for Recurrence Interval Formula

Frequency Factor = (Z Series for any Recurrence Interval-Mean of Z Variates)/Standard Deviation of the Z Variate Sample
Kz = (Zt-zm)/σ

What is Log-Pearson Type III Distribution?

The Log-Pearson Type III distribution is a statistical technique for fitting frequency distribution data to predict the design flood for a river at some site. Once the statistical information is calculated for the river site, a frequency distribution can be constructed.

How to Calculate Frequency Factor given Z Series for Recurrence Interval?

Frequency Factor given Z Series for Recurrence Interval calculator uses Frequency Factor = (Z Series for any Recurrence Interval-Mean of Z Variates)/Standard Deviation of the Z Variate Sample to calculate the Frequency Factor, The Frequency Factor given Z Series for Recurrence Interval formula is defined as the factor used to compare and relate results and attach probabilities to several sets of maximum rainfall data. Frequency Factor is denoted by Kz symbol.

How to calculate Frequency Factor given Z Series for Recurrence Interval using this online calculator? To use this online calculator for Frequency Factor given Z Series for Recurrence Interval, enter Z Series for any Recurrence Interval (Zt), Mean of Z Variates (zm) & Standard Deviation of the Z Variate Sample (σ) and hit the calculate button. Here is how the Frequency Factor given Z Series for Recurrence Interval calculation can be explained with given input values -> 6.984 = (9.5-0.77)/1.25.

FAQ

What is Frequency Factor given Z Series for Recurrence Interval?
The Frequency Factor given Z Series for Recurrence Interval formula is defined as the factor used to compare and relate results and attach probabilities to several sets of maximum rainfall data and is represented as Kz = (Zt-zm)/σ or Frequency Factor = (Z Series for any Recurrence Interval-Mean of Z Variates)/Standard Deviation of the Z Variate Sample. Z Series for any Recurrence Interval in Log-Pearson Type III Distribution, Mean of Z Variates for 'x' variate of a random hydrologic cycle & Standard Deviation of the Z Variate Sample follows a certain probability distribution of a hydrologic model.
How to calculate Frequency Factor given Z Series for Recurrence Interval?
The Frequency Factor given Z Series for Recurrence Interval formula is defined as the factor used to compare and relate results and attach probabilities to several sets of maximum rainfall data is calculated using Frequency Factor = (Z Series for any Recurrence Interval-Mean of Z Variates)/Standard Deviation of the Z Variate Sample. To calculate Frequency Factor given Z Series for Recurrence Interval, you need Z Series for any Recurrence Interval (Zt), Mean of Z Variates (zm) & Standard Deviation of the Z Variate Sample (σ). With our tool, you need to enter the respective value for Z Series for any Recurrence Interval, Mean of Z Variates & 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.
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