Frequency Factor given Z Series for Recurrence Interval Calculator

✖Z Series for any Recurrence Interval in Log-Pearson Type III Distribution.ⓘ Z Series for any Recurrence Interval [Z_t]			+10% -10%
✖Mean of Z Variates for 'x' variate of a random hydrologic cycle.ⓘ Mean of Z Variates [z_m]			+10% -10%
✖Standard Deviation of the Z Variate Sample follows a certain probability distribution of a hydrologic model.ⓘ Standard Deviation of the Z Variate Sample [σ]			+10% -10%

✖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).ⓘ Frequency Factor given Z Series for Recurrence Interval [K_z]

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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
K_z = (Z_t-z_m)/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

K_z = (Z_t-z_m)/σ --> (9.5-0.77)/1.25

Evaluating ... ...

K_z = 6.984

STEP 3: Convert Result to Output's Unit

6.984 --> No Conversion Required

FINAL ANSWER

6.984 <-- Frequency Factor

(Calculation completed in 00.005 seconds)

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< Log Pearson Type III Distribution Calculators

Frequency Factor given Z Series for Recurrence Interval

LaTeX 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

LaTeX 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

LaTeX Go Z Series for any Recurrence Interval = Mean of Z Variates+Frequency Factor*Standard Deviation of the Z Variate Sample

Equation for Base Series of Z Variates

LaTeX Go Mean of Z Variates = log10(Variate 'z' of a Random Hydrologic Cycle)

Frequency Factor given Z Series for Recurrence Interval Formula

LaTeX Go

Frequency Factor = (Z Series for any Recurrence Interval-Mean of Z Variates)/Standard Deviation of the Z Variate Sample
K_z = (Z_t-z_m)/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 K_z 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 (Z_t), Mean of Z Variates (z_m) & 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 K_z = (Z_t-z_m)/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 (Z_t), Mean of Z Variates (z_m) & 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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