Percentage Error Solution

STEP 0: Pre-Calculation Summary
Formula Used
Percentage Error = (Erroneous Quantity-True Value)/True Value
%E = (Qerr-XE)/XE
This formula uses 3 Variables
Variables Used
Percentage Error - Percentage Error is the error of device in percent.
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.
True Value - True Value is the actual value of any process done in survey.
STEP 1: Convert Input(s) to Base Unit
Erroneous Quantity: 890 --> No Conversion Required
True Value: 91.02 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
%E = (Qerr-XE)/XE --> (890-91.02)/91.02
Evaluating ... ...
%E = 8.77807075368051
STEP 3: Convert Result to Output's Unit
8.77807075368051 --> No Conversion Required
FINAL ANSWER
8.77807075368051 8.778071 <-- Percentage Error
(Calculation completed in 00.020 seconds)

Credits

Created by Shobhit Dimri
Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat
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17 Error Measurement Calculators

Angular Deflection of Spring
Go Angular Deflection of Spring = (Flat Spiral Spring Controlling Torque/Spring Constant)*(pi/180)
Relative Limiting Error
Go Relative Limiting Error = (Actual Value-Nominal Value)/Nominal Value
Power Consumed at Full-Scale Reading
Go Power Consumed at Full-Scale Reading = Current at Full-Scale Reading*Full-Scale Voltage Reading
Percentage Error
Go Percentage Error = (Erroneous Quantity-True Value)/True Value
Erroneous Quantity
Go Erroneous Quantity = Percentage Error*True Value+True Value
Magnitude of Output Response
Go Magnitude of Output Response = Sensitivity*Magnitude of Input Response
Magnitude of Input
Go Magnitude of Input Response = Magnitude of Output Response/Sensitivity
Sensitivity
Go Sensitivity = Magnitude of Output Response/Magnitude of Input Response
Nominal Value
Go Nominal Value = Actual Value/(Relative Limiting Error+1)
True Quantity
Go True Value = Erroneous Quantity/(Percentage Error+1)
Absolute Static Error of Quantity A
Go Absolute Value = True Value*Relative Static Error
Measured Value of quantity
Go Measured Value Output = Absolute Value+True Value
True Value of Quantity
Go True Value = Absolute Value/Relative Static Error
Relative Static Error
Go Relative Static Error = Absolute Value/True Value
Inverse Sensitivity or Scale Factor
Go Inverse Sensitivity or Scale Factor = 1/Sensitivity
Location of Point
Go Location of Point = Average Deviation*0.8453
Average Deviation
Go Average Deviation = Location of Point/0.8453

Percentage Error Formula

Percentage Error = (Erroneous Quantity-True Value)/True Value
%E = (Qerr-XE)/XE

What is true value in error?

A true value, also called a true score, is a psychometric concept that refers to the measure that would have been observed on a construct were there not any error involved in its measurement. The concept of a true value relates to the concepts of reliability and validity.

How to Calculate Percentage Error?

Percentage Error calculator uses Percentage Error = (Erroneous Quantity-True Value)/True Value to calculate the Percentage Error, The Percentage Error formula is defined as Percent error is the difference between a measured or experimental value and an accepted or known value, divided by the known value, multiplied by 100%. Percentage Error is denoted by %E symbol.

How to calculate Percentage Error using this online calculator? To use this online calculator for Percentage Error, enter Erroneous Quantity (Qerr) & True Value (XE) and hit the calculate button. Here is how the Percentage Error calculation can be explained with given input values -> 8.778071 = (890-91.02)/91.02.

FAQ

What is Percentage Error?
The Percentage Error formula is defined as Percent error is the difference between a measured or experimental value and an accepted or known value, divided by the known value, multiplied by 100% and is represented as %E = (Qerr-XE)/XE or Percentage Error = (Erroneous Quantity-True Value)/True Value. 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 & True Value is the actual value of any process done in survey.
How to calculate Percentage Error?
The Percentage Error formula is defined as Percent error is the difference between a measured or experimental value and an accepted or known value, divided by the known value, multiplied by 100% is calculated using Percentage Error = (Erroneous Quantity-True Value)/True Value. To calculate Percentage Error, you need Erroneous Quantity (Qerr) & True Value (XE). With our tool, you need to enter the respective value for Erroneous Quantity & True 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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