Relative Error Calculator

✖True error is the difference between the true value of a quantity and its observed value.ⓘ True Error [ε_x]			+10% -10%
✖Observed value is the value which the observer notes during surveying.ⓘ Observed Value [x]			+10% -10%

✖Relative error is a measure of the error in relation to the size of the measurement.ⓘ Relative Error [R_x]

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Relative Error Solution

STEP 0: Pre-Calculation Summary

Formula Used

Relative Error = True Error/Observed Value
R_x = ε_x/x
This formula uses 3 Variables

Variables Used

Relative Error - Relative error is a measure of the error in relation to the size of the measurement.
True Error - True error is the difference between the true value of a quantity and its observed value.
Observed Value - Observed value is the value which the observer notes during surveying.

STEP 1: Convert Input(s) to Base Unit

True Error: 320 --> No Conversion Required
Observed Value: 159 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_x = ε_x/x --> 320/159

Evaluating ... ...

R_x = 2.0125786163522

STEP 3: Convert Result to Output's Unit

2.0125786163522 --> No Conversion Required

FINAL ANSWER

2.0125786163522 ≈ 2.012579 <-- Relative Error

(Calculation completed in 00.004 seconds)

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Created by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has created this Calculator and 500+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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< Theory of Errors Calculators

Mean Error given Specified Error of Single Measurement

LaTeX Go Error of Mean = Specified Error of a Single Measurement/(sqrt(Number of Observations))

Probable Error of Mean

LaTeX Go Probable Mean of Error = Probable Error in Single Measurement/(Number of Observations^0.5)

Mean Error given Sum of Errors

LaTeX Go Error of Mean = Sum of Errors of Observations/Number of Observations

True Error

LaTeX Go True Error = True Value-Observed Value

Relative Error Formula

LaTeX Go

Relative Error = True Error/Observed Value
R_x = ε_x/x

What is Direct Observation?

An observation is the numerical value of a measured quantity, and may be either direct or indirect. A direct observation is the one made directly on the quantity being determined, e.g., the measurement of a base, the single measurement of an angle etc.

How to Calculate Relative Error?

Relative Error calculator uses Relative Error = True Error/Observed Value to calculate the Relative Error, The Relative Error is an extremely useful definition, and is commonly used in expressing the accuracy of linear measurement. It is a measure of the error in relation to the size of the measurement. Relative Error is denoted by R_x symbol.

How to calculate Relative Error using this online calculator? To use this online calculator for Relative Error, enter True Error (ε_x) & Observed Value (x) and hit the calculate button. Here is how the Relative Error calculation can be explained with given input values -> 2.012579 = 320/159.

FAQ

What is Relative Error?

The Relative Error is an extremely useful definition, and is commonly used in expressing the accuracy of linear measurement. It is a measure of the error in relation to the size of the measurement and is represented as R_x = ε_x/x or Relative Error = True Error/Observed Value. True error is the difference between the true value of a quantity and its observed value & Observed value is the value which the observer notes during surveying.

How to calculate Relative Error?

The Relative Error is an extremely useful definition, and is commonly used in expressing the accuracy of linear measurement. It is a measure of the error in relation to the size of the measurement is calculated using Relative Error = True Error/Observed Value. To calculate Relative Error, you need True Error (ε_x) & Observed Value (x). With our tool, you need to enter the respective value for True Error & Observed Value and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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