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

GoEquation for Base Series of Z Variates Formula

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

z m = Z t - K z \cdot σ

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

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

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Here is how the Mean Series of Z Variates given Z Series for Recurrence Interval equation looks like with Values.

Here is how the Mean Series of Z Variates given Z Series for Recurrence Interval equation looks like with Units.

Here is how the Mean Series of Z Variates given Z Series for Recurrence Interval equation looks like.

0.75 = 9.5 - 7 \cdot 1.25

0.75 = 9.5 - 7 \cdot 1.25

0.75 = 9.5 - 7 \cdot 1.25

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

Follow our step by step solution on how to calculate Mean Series of Z Variates given Z Series for Recurrence Interval?

FIRST Step Consider the formula

z m = Z t - K z \cdot σ

Next Step Substitute values of Variables

∴

z m = 9.5 - 7 \cdot 1.25

Next Step Prepare to Evaluate

∴

z m = 9.5 - 7 \cdot 1.25

LAST Step Evaluate

∴

z m = 0.75

Mean Series of Z Variates given Z Series for Recurrence Interval Formula Elements

Variables

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

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

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

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 to find Mean of Z Variates

Go Equation for Base Series of Z Variates

z m = \log 10 (z)

Other formulas in Log Pearson Type III Distribution category

Go Equation for Z Series for any Recurrence Interval

Z t = z m + K z \cdot σ

Go Frequency Factor given Z Series for Recurrence Interval

K z = \frac{Z t - z m}{σ}

Go Adjusted Coefficient of Skew

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

Go Coefficient of Skew of Variate Z given Adjusted Coefficient of Skew

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

How to Evaluate Mean Series of Z Variates given Z Series for Recurrence Interval?

Mean Series of Z Variates given Z Series for Recurrence Interval evaluator uses Mean of Z Variates = Z Series for any Recurrence Interval-Frequency Factor*Standard Deviation of the Z Variate Sample to evaluate the Mean of Z Variates, The Mean Series of Z Variates given Z Series for Recurrence Interval formula is defined as the series of Z variates of a random hydrologic series for any recurrence interval or return period T in Log-Pearson Type III Distribution. Mean of Z Variates is denoted by z_m symbol.

How to evaluate Mean Series of Z Variates given Z Series for Recurrence Interval using this online evaluator? To use this online evaluator for Mean Series of Z Variates given Z Series for Recurrence Interval, enter Z Series for any Recurrence Interval (Z_t), Frequency Factor (K_z) & Standard Deviation of the Z Variate Sample (σ) and hit the calculate button.

FAQs on Mean Series of Z Variates given Z Series for Recurrence Interval

What is the formula to find Mean Series of Z Variates given Z Series for Recurrence Interval?

The formula of Mean Series of Z Variates given Z Series for Recurrence Interval is expressed as Mean of Z Variates = Z Series for any Recurrence Interval-Frequency Factor*Standard Deviation of the Z Variate Sample. Here is an example- 0.75 = 9.5-7*1.25.

How to calculate Mean Series of Z Variates given Z Series for Recurrence Interval?

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

What are the other ways to Calculate Mean of Z Variates?

Here are the different ways to Calculate Mean of Z Variates-

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

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

​GoEquation for Base Series of Z Variates Formula

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

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

Mean Series of Z Variates given Z Series for Recurrence Interval Formula Elements

Other Formulas to find Mean of Z Variates

Other formulas in Log Pearson Type III Distribution category

How to Evaluate Mean Series of Z Variates given Z Series for Recurrence Interval?

FAQs on Mean Series of Z Variates given Z Series for Recurrence Interval

Variable Name

GoEquation for Base Series of Z Variates Formula