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Equation for Base Series of Z Variates Formula

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

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

z m = \log 10 (z)

z_m - Mean of Z Variates?z - Variate 'z' of a Random Hydrologic Cycle?

Equation for Base Series of Z Variates Example

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Here is how the Equation for Base Series of Z Variates equation looks like with Units.

Here is how the Equation for Base Series of Z Variates equation looks like.

0.7853 = \log 10 (6.1)

0.7853 = \log 10 (6.1)

0.7853 = \log 10 (6.1)

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Equation for Base Series of Z Variates Solution

Follow our step by step solution on how to calculate Equation for Base Series of Z Variates?

FIRST Step Consider the formula

z m = \log 10 (z)

Next Step Substitute values of Variables

∴

z m = \log 10 (6.1)

Next Step Prepare to Evaluate

∴

z m = \log 10 (6.1)

Next Step Evaluate

∴

z m = 0.785329835010767

LAST Step Rounding Answer

∴

z m = 0.7853

Equation for Base Series of Z Variates Formula Elements

Variables

Functions

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

Variate 'z' of a Random Hydrologic Cycle

Variate 'z' of a Random Hydrologic Cycle is part of the Gumbel distribution which relates the quantiles of a hydrological random variable to their respective exceedance probabilities or return period.

Symbol: z

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Variate 'z' of a Random Hydrologic Cycle

log10

The common logarithm, also known as the base-10 logarithm or the decimal logarithm, is a mathematical function that is the inverse of the exponential function.

Syntax: log10(Number)

Other Formulas to find Mean of Z Variates

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

z m = Z t - K z \cdot σ

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 Equation for Base Series of Z Variates?

Equation for Base Series of Z Variates evaluator uses Mean of Z Variates = log10(Variate 'z' of a Random Hydrologic Cycle) to evaluate the Mean of Z Variates, The Equation for Base Series of Z Variates formula is defined as the base equation where the variate is transformed into logarithmic form in the Log-Pearson Type III Distribution method. Mean of Z Variates is denoted by z_m symbol.

How to evaluate Equation for Base Series of Z Variates using this online evaluator? To use this online evaluator for Equation for Base Series of Z Variates, enter Variate 'z' of a Random Hydrologic Cycle (z) and hit the calculate button.

FAQs on Equation for Base Series of Z Variates

What is the formula to find Equation for Base Series of Z Variates?

The formula of Equation for Base Series of Z Variates is expressed as Mean of Z Variates = log10(Variate 'z' of a Random Hydrologic Cycle). Here is an example- 0.778151 = log10(6.1).

How to calculate Equation for Base Series of Z Variates?

With Variate 'z' of a Random Hydrologic Cycle (z) we can find Equation for Base Series of Z Variates using the formula - Mean of Z Variates = log10(Variate 'z' of a Random Hydrologic Cycle). This formula also uses Common Logarithm Function function(s).

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=Z Series for any Recurrence Interval-Frequency Factor*Standard Deviation of the Z Variate Sample

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