True Value of Quantity Calculator

✖Absolute Value Static Error is the difference between the measured value and the “true” 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 is the actual value of any process done in survey.ⓘ True Value of Quantity [X_E]

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Formula

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True Value of Quantity

Formula

`"X"_{"E"} = "δA"/"ε"_{"rs"}`

Example

`"0.888889"="8"/"9"`

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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 is the actual value of any process done in survey.
Absolute Value - Absolute Value Static Error is the difference between the measured value and the “true” 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: 9 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

X_E = δA/ε_rs --> 8/9

Evaluating ... ...

X_E = 0.888888888888889

STEP 3: Convert Result to Output's Unit

0.888888888888889 --> No Conversion Required

FINAL ANSWER

0.888888888888889 ≈ 0.888889 <-- 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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< 17 Error Measurement Calculators

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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

True Value of Quantity Formula

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 -> 0.888889 = 8/9.

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 Static Error is the difference between the measured value and the “true” 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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