True Value of Quantity Calculator

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Instrument Error Measurement Instrument Characteristics Instrument Dimensions

✖Absolute Value quantifies the magnitude of the discrepancy between a measured or estimated value and the true or expected value.ⓘ Absolute Value [δA]			+10% -10%
✖Relative Static Error is the ratio of absolute static error to the true value of the quantity under measurement.ⓘ Relative Static Error [ε_rs]			+10% -10%

✖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.ⓘ True Value of Quantity [X_E]

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True Value of Quantity Solution

STEP 0: Pre-Calculation Summary

Formula Used

True Value = Absolute Value/Relative Static Error
X_E = δA/ε_rs
This formula uses 3 Variables

Variables Used

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.
Absolute Value - Absolute Value quantifies the magnitude of the discrepancy between a measured or estimated value and the true or expected value.
Relative Static Error - Relative Static Error is the ratio of absolute static error to the true value of the quantity under measurement.

STEP 1: Convert Input(s) to Base Unit

Absolute Value: 8 --> No Conversion Required
Relative Static Error: 1.99 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

X_E = δA/ε_rs --> 8/1.99

Evaluating ... ...

X_E = 4.02010050251256

STEP 3: Convert Result to Output's Unit

4.02010050251256 --> No Conversion Required

FINAL ANSWER

4.02010050251256 ≈ 4.020101 <-- True Value

(Calculation completed in 00.004 seconds)

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Credits

Created by Shobhit Dimri

Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

Shobhit Dimri has created this Calculator and 900+ more calculators!

Verified by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< Instrument Error Measurement Calculators

Absolute Static Error of Quantity

LaTeX Go Absolute Value = True Value*Relative Static Error

Measured Value of quantity

LaTeX Go Measured Value Output = Absolute Value+True Value

True Value of Quantity

LaTeX Go True Value = Absolute Value/Relative Static Error

Relative Static Error

LaTeX Go Relative Static Error = Absolute Value/True Value

True Value of Quantity Formula

LaTeX Go

True Value = Absolute Value/Relative Static Error
X_E = δA/ε_rs

What is Measurement Error?

Measurement Error (also called Observational Error) is the difference between a measured quantity and its true value. It includes a random error (naturally occurring errors that are to be expected with any experiment) and a systematic error (caused by a miscalibrated instrument that affects all measurements).

How to Calculate True Value of Quantity?

True Value of Quantity calculator uses True Value = Absolute Value/Relative Static Error to calculate the True Value, The True Value of Quantity(At) formula is defined as the computation of percentage error involves the use of the absolute error, which is simply the difference between the observed and the true value. The absolute error is then divided by the true value, resulting in the relative error, which is multiplied by 100 to obtain the percentage error. True Value is denoted by X_E symbol.

How to calculate True Value of Quantity using this online calculator? To use this online calculator for True Value of Quantity, enter Absolute Value (δA) & Relative Static Error (ε_rs) and hit the calculate button. Here is how the True Value of Quantity calculation can be explained with given input values -> 4 = 8/1.99.

FAQ

What is True Value of Quantity?

The True Value of Quantity(At) formula is defined as the computation of percentage error involves the use of the absolute error, which is simply the difference between the observed and the true value. The absolute error is then divided by the true value, resulting in the relative error, which is multiplied by 100 to obtain the percentage error and is represented as X_E = δA/ε_rs or True Value = Absolute Value/Relative Static Error. Absolute Value quantifies the magnitude of the discrepancy between a measured or estimated value and the true or expected value & Relative Static Error is the ratio of absolute static error to the true value of the quantity under measurement.

How to calculate True Value of Quantity?

The True Value of Quantity(At) formula is defined as the computation of percentage error involves the use of the absolute error, which is simply the difference between the observed and the true value. The absolute error is then divided by the true value, resulting in the relative error, which is multiplied by 100 to obtain the percentage error is calculated using True Value = Absolute Value/Relative Static Error. To calculate True Value of Quantity, you need Absolute Value (δA) & Relative Static Error (ε_rs). With our tool, you need to enter the respective value for Absolute Value & Relative Static Error and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate True Value?

In this formula, True Value uses Absolute Value & Relative Static Error. We can use 1 other way(s) to calculate the same, which is/are as follows -

True Value = Erroneous Quantity/(Percentage Error+1)

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