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Frequency Factor given Z Series for Recurrence Interval Formula

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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). Check FAQs

K z = \frac{Z t - z m}{σ}

K_z - Frequency Factor?Z_t - Z Series for any Recurrence Interval?z_m - Mean of Z Variates?σ - Standard Deviation of the Z Variate Sample?

Frequency Factor given Z Series for Recurrence Interval Example

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Here is how the Frequency Factor given Z Series for Recurrence Interval equation looks like with Values.

Here is how the Frequency Factor given Z Series for Recurrence Interval equation looks like with Units.

Here is how the Frequency Factor given Z Series for Recurrence Interval equation looks like.

6.984 = \frac{9.5 - 0.77}{1.25}

6.984 = \frac{9.5 - 0.77}{1.25}

6.984 = \frac{9.5 - 0.77}{1.25}

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Frequency Factor given Z Series for Recurrence Interval Solution

Follow our step by step solution on how to calculate Frequency Factor given Z Series for Recurrence Interval?

FIRST Step Consider the formula

K z = \frac{Z t - z m}{σ}

Next Step Substitute values of Variables

∴

K z = \frac{9.5 - 0.77}{1.25}

Next Step Prepare to Evaluate

∴

K z = \frac{9.5 - 0.77}{1.25}

LAST Step Evaluate

∴

K z = 6.984

Frequency Factor given Z Series for Recurrence Interval Formula Elements

Variables

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).

Symbol: K_z

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Frequency Factor

Z Series for any Recurrence Interval

Z Series for any Recurrence Interval in Log-Pearson Type III Distribution.

Symbol: Z_t

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Z Series for any Recurrence Interval

Mean of Z Variates

Mean of Z Variates for 'x' variate of a random hydrologic cycle.

Symbol: z_m

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Mean of Z Variates

Standard Deviation of the Z Variate Sample

Standard Deviation of the Z Variate Sample follows a certain probability distribution of a hydrologic model.

Symbol: σ

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Standard Deviation of the Z Variate Sample

Other formulas in Log Pearson Type III Distribution category

Go Equation for Base Series of Z Variates

z m = \log 10 (z)

Go Equation for Z Series for any Recurrence Interval

Z t = z m + K z \cdot σ

Go Mean Series of Z Variates given Z Series for Recurrence Interval

z m = Z t - K z \cdot σ

Go Adjusted Coefficient of Skew

C' s = C s \cdot (\frac{1 + 8.5}{N})

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

Frequency Factor given Z Series for Recurrence Interval evaluator uses Frequency Factor = (Z Series for any Recurrence Interval-Mean of Z Variates)/Standard Deviation of the Z Variate Sample to evaluate 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 evaluate Frequency Factor given Z Series for Recurrence Interval using this online evaluator? To use this online evaluator 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.

FAQs on Frequency Factor given Z Series for Recurrence Interval

What is the formula to find Frequency Factor given Z Series for Recurrence Interval?

The formula of Frequency Factor given Z Series for Recurrence Interval is expressed as Frequency Factor = (Z Series for any Recurrence Interval-Mean of Z Variates)/Standard Deviation of the Z Variate Sample. Here is an example- 6.984 = (9.5-0.77)/1.25.

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

With Z Series for any Recurrence Interval (Z_t), Mean of Z Variates (z_m) & Standard Deviation of the Z Variate Sample (σ) we can find Frequency Factor given Z Series for Recurrence Interval using the formula - Frequency Factor = (Z Series for any Recurrence Interval-Mean of Z Variates)/Standard Deviation of the Z Variate Sample.

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Frequency Factor given Z Series for Recurrence Interval Formula

Frequency Factor given Z Series for Recurrence Interval Example

Frequency Factor given Z Series for Recurrence Interval Solution

Frequency Factor given Z Series for Recurrence Interval Formula Elements

Other formulas in Log Pearson Type III Distribution category

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

FAQs on Frequency Factor given Z Series for Recurrence Interval

Variable Name