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Percentage Error Formula

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Percentage Error is a measure of how inaccurate a measurement is, standardized to how large the measurement is. Check FAQs

%E = \frac{Q err - X E}{X E}

%E - Percentage Error?Q_err - Erroneous Quantity?X_E - True Value?

Percentage Error Example

With values

With units

Only example

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

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

Here is how the Percentage Error equation looks like.

1.5 = \frac{10 - 4}{4}

1.5 = \frac{10 - 4}{4}

1.5 = \frac{10 - 4}{4}

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Percentage Error Solution

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

FIRST Step Consider the formula

%E = \frac{Q err - X E}{X E}

Next Step Substitute values of Variables

∴

%E = \frac{10 - 4}{4}

Next Step Prepare to Evaluate

∴

%E = \frac{10 - 4}{4}

LAST Step Evaluate

∴

%E = 1.5

Percentage Error Formula Elements

Variables

Percentage Error

Percentage Error is a measure of how inaccurate a measurement is, standardized to how large the measurement is.

Symbol: %E

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Percentage Error

Erroneous Quantity

Erroneous Quantity is defined as limiting error, specified quantity is taken as true quantity, and maximum deviation quantity is known as the incorrect or erroneous quantity.

Symbol: Q_err

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Erroneous Quantity

True Value

True Value refers to the exact or correct value of a quantity that is generally agreed upon by the scientific community or determined through highly accurate methods.

Symbol: X_E

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find True Value

Other formulas in Instrument Error Measurement category

Go Relative Static Error

ε rs = \frac{δA}{X E}

Go True Value of Quantity

X E = \frac{δA}{ε rs}

Go Absolute Static Error of Quantity

δA = X E \cdot ε rs

Go Measured Value of quantity

M = δA + X E

How to Evaluate Percentage Error?

Percentage Error evaluator uses Percentage Error = (Erroneous Quantity-True Value)/True Value to evaluate the Percentage Error, The Percentage Error formula is defined as a measure used to quantify the accuracy of a measurement by comparing it to the true or accepted value. It represents the error as a percentage of the true value. Percentage Error is denoted by %E symbol.

How to evaluate Percentage Error using this online evaluator? To use this online evaluator for Percentage Error, enter Erroneous Quantity (Q_err) & True Value (X_E) and hit the calculate button.

FAQs on Percentage Error

What is the formula to find Percentage Error?

The formula of Percentage Error is expressed as Percentage Error = (Erroneous Quantity-True Value)/True Value. Here is an example- 1.5 = (10-4)/4.

How to calculate Percentage Error?

With Erroneous Quantity (Q_err) & True Value (X_E) we can find Percentage Error using the formula - Percentage Error = (Erroneous Quantity-True Value)/True Value.

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Percentage Error Formula

Percentage Error Example

Percentage Error Solution

Percentage Error Formula Elements

Other formulas in Instrument Error Measurement category

How to Evaluate Percentage Error?

FAQs on Percentage Error

Variable Name