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Residual Error Formula

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Residual error is the difference between the most probable value of a quantity and its observed value. Check FAQs

r = x - MPV

r - Residual Error?x - Observed Value?MPV - Most Probable Value?

Residual Error Example

With values

With units

Only example

Here is how the Residual Error equation looks like with Values.

Here is how the Residual Error equation looks like with Units.

Here is how the Residual Error equation looks like.

80 = 159 - 79

80 = 159 - 79

80 = 159 - 79

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Residual Error Solution

Follow our step by step solution on how to calculate Residual Error?

FIRST Step Consider the formula

r = x - MPV

Next Step Substitute values of Variables

∴

r = 159 - 79

Next Step Prepare to Evaluate

∴

r = 159 - 79

LAST Step Evaluate

∴

r = 80

Residual Error Formula Elements

Variables

Residual Error

Residual error is the difference between the most probable value of a quantity and its observed value.

Symbol: r

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Residual Error

Observed Value

Observed value is the value which the observer notes during surveying.

Symbol: x

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Observed Value

Most Probable Value

Most probable value of a quantity is the one which has more chances of being true than has any other. It is deduced from the several measurements on which it is based.

Symbol: MPV

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Most Probable Value

Other formulas in Theory of Errors category

Go Probable Error of Mean

PE m = \frac{PE s}{{n obs}^{0.5}}

Go Mean Error given Sum of Errors

E m = \frac{ΣE}{n obs}

Go Mean Error given Specified Error of Single Measurement

E m = \frac{E s}{\sqrt{n obs}}

Go True Error

ε x = X - x

How to Evaluate Residual Error?

Residual Error evaluator uses Residual Error = Observed Value-Most Probable Value to evaluate the Residual Error, The Residual Error is the difference between the most probable value of a quantity and its observed value. The most probable value of a quantity is the one which has more chances of being true than has any other. Residual Error is denoted by r symbol.

How to evaluate Residual Error using this online evaluator? To use this online evaluator for Residual Error, enter Observed Value (x) & Most Probable Value (MPV) and hit the calculate button.

FAQs on Residual Error

What is the formula to find Residual Error?

The formula of Residual Error is expressed as Residual Error = Observed Value-Most Probable Value. Here is an example- 80 = 159-79.

How to calculate Residual Error?

With Observed Value (x) & Most Probable Value (MPV) we can find Residual Error using the formula - Residual Error = Observed Value-Most Probable Value.

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Residual Error Formula

Residual Error Example

Residual Error Solution

Residual Error Formula Elements

Other formulas in Theory of Errors category

How to Evaluate Residual Error?

FAQs on Residual Error

Variable Name