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Overall Standard Error Formula

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Overall standard error is the total error occurred while measuring distance using EDM. Check FAQs

σ D = \sqrt{{E s}^{2} + {(D \cdot p \cdot 10^{- 6})}^{2}}

σ_D - Overall Standard Error?E_s - Standard Error e?D - Distance Traveled?p - Standard Error p?

Overall Standard Error Example

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With units

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Here is how the Overall Standard Error equation looks like with Values.

Here is how the Overall Standard Error equation looks like with Units.

Here is how the Overall Standard Error equation looks like.

60 = \sqrt{60^{2} + {(50 \cdot 65 \cdot 10^{- 6})}^{2}}

60 = \sqrt{60^{2} + {(50m \cdot 65 \cdot 10^{- 6})}^{2}}

60 = \sqrt{60^{2} + {(50 \cdot 65 \cdot 10^{- 6})}^{2}}

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Overall Standard Error Solution

Follow our step by step solution on how to calculate Overall Standard Error?

FIRST Step Consider the formula

σ D = \sqrt{{E s}^{2} + {(D \cdot p \cdot 10^{- 6})}^{2}}

Next Step Substitute values of Variables

∴

σ D = \sqrt{60^{2} + {(50m \cdot 65 \cdot 10^{- 6})}^{2}}

Next Step Prepare to Evaluate

∴

σ D = \sqrt{60^{2} + {(50 \cdot 65 \cdot 10^{- 6})}^{2}}

Next Step Evaluate

∴

σ D = 60.0000000880208

LAST Step Rounding Answer

∴

σ D = 60

Overall Standard Error Formula Elements

Variables

Functions

Overall Standard Error

Overall standard error is the total error occurred while measuring distance using EDM.

Symbol: σ_D

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Overall Standard Error

Standard Error e

Standard Error e is dependent mainly on the sensitivity of the phase resolver and other electrical components.

Symbol: E_s

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Standard Error e

Distance Traveled

Distance Traveled defines how much path an object has covered to reach its destination in a given period.

Symbol: D

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Distance Traveled

Standard Error p

Standard Error p is dependent on the accuracy of the modulation and on the accuracy of the value of the refractive index used.

Symbol: p

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Standard Error p

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other formulas in EDM Corrections category

Go Wave Velocity in Medium

V = \frac{V 0}{RI}

Go Wave Velocity in Vacuum

V 0 = V \cdot RI

Go Group Refractive Index at Standard Conditions

n 0 = 1 + (287.604 + (\frac{4.8864}{λ^{2}}) + (\frac{0.068}{λ^{4}})) \cdot 10^{- 6}

Go Group Refractive Index if Temperature and Humidity are different from Standard Values

n = 1 + (\frac{0.269578 \cdot (n 0 - 1) \cdot P b}{273.15 + t}) - ((\frac{11.27}{273.15 + t}) \cdot 10^{- 6} \cdot e)

How to Evaluate Overall Standard Error?

Overall Standard Error evaluator uses Overall Standard Error = sqrt(Standard Error e^2+(Distance Traveled*Standard Error p*10^-6)^2) to evaluate the Overall Standard Error, The Overall Standard Error formula is defined as the total error that occurred when the distance is measured using EDM (Electromagnetic Distance Measurement). Overall Standard Error is denoted by σ_D symbol.

How to evaluate Overall Standard Error using this online evaluator? To use this online evaluator for Overall Standard Error, enter Standard Error e (E_s), Distance Traveled (D) & Standard Error p (p) and hit the calculate button.

FAQs on Overall Standard Error

What is the formula to find Overall Standard Error?

The formula of Overall Standard Error is expressed as Overall Standard Error = sqrt(Standard Error e^2+(Distance Traveled*Standard Error p*10^-6)^2). Here is an example- 60 = sqrt(60^2+(50*65*10^-6)^2).

How to calculate Overall Standard Error?

With Standard Error e (E_s), Distance Traveled (D) & Standard Error p (p) we can find Overall Standard Error using the formula - Overall Standard Error = sqrt(Standard Error e^2+(Distance Traveled*Standard Error p*10^-6)^2). This formula also uses Square Root (sqrt) function(s).

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Overall Standard Error Formula

Overall Standard Error Example

Overall Standard Error Solution

Overall Standard Error Formula Elements

Other formulas in EDM Corrections category

How to Evaluate Overall Standard Error?

FAQs on Overall Standard Error

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