True Quantity Calculator

✖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.ⓘ Erroneous Quantity [Q_err]			+10% -10%
✖Percentage Error is the error of device in percent.ⓘ Percentage Error [%E]			+10% -10%

✖True Value is the actual value of any process done in survey.ⓘ True Quantity [X_E]

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Formula

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True Quantity

Formula

`"X"_{"E"} = "Q"_{"err"}/("%E"+1)`

Example

`"1.538462"="10"/("5.5"+1)`

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True Quantity Solution

STEP 0: Pre-Calculation Summary

Formula Used

True Value = Erroneous Quantity/(Percentage Error+1)
X_E = Q_err/(%E+1)
This formula uses 3 Variables

Variables Used

True Value - True Value is the actual value of any process done in survey.
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.
Percentage Error - Percentage Error is the error of device in percent.

STEP 1: Convert Input(s) to Base Unit

Erroneous Quantity: 10 --> No Conversion Required
Percentage Error: 5.5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

X_E = Q_err/(%E+1) --> 10/(5.5+1)

Evaluating ... ...

X_E = 1.53846153846154

STEP 3: Convert Result to Output's Unit

1.53846153846154 --> No Conversion Required

FINAL ANSWER

1.53846153846154 ≈ 1.538462 <-- True Value

(Calculation completed in 00.004 seconds)

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Home » Engineering » Electronics and Instrumentation » Instrument Analysis » Instrument Error Measurement » True Quantity

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

Urvi Rathod has verified this Calculator and 1900+ more calculators!

< 11 Instrument Error Measurement Calculators

Relative Limiting Error

Go Relative Limiting Error = (Actual Value-Nominal Value)/Nominal Value

Percentage Error

Go Percentage Error = (Erroneous Quantity-True Value)/True Value

Erroneous Quantity

Go Erroneous Quantity = Percentage Error*True Value+True Value

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

Location of Point

Go Location of Point = Average Deviation*0.8453

Average Deviation

Go Average Deviation = Location of Point/0.8453

True Quantity Formula

True Value = Erroneous Quantity/(Percentage Error+1)
X_E = Q_err/(%E+1)

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 True Quantity?

True Quantity calculator uses True Value = Erroneous Quantity/(Percentage Error+1) to calculate the True Value, The True Quantity formula is defined as an idealized concept of a quantity that is to be measured; in some cases, it can be achieved, but in others, there is disagreement as to the definition of the quantity. True Value is denoted by X_E symbol.

How to calculate True Quantity using this online calculator? To use this online calculator for True Quantity, enter Erroneous Quantity (Q_err) & Percentage Error (%E) and hit the calculate button. Here is how the True Quantity calculation can be explained with given input values -> 1.023541 = 10/(5.5+1).

FAQ

What is True Quantity?

The True Quantity formula is defined as an idealized concept of a quantity that is to be measured; in some cases, it can be achieved, but in others, there is disagreement as to the definition of the quantity and is represented as X_E = Q_err/(%E+1) or True Value = Erroneous Quantity/(Percentage Error+1). 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 & Percentage Error is the error of device in percent.

How to calculate True Quantity?

The True Quantity formula is defined as an idealized concept of a quantity that is to be measured; in some cases, it can be achieved, but in others, there is disagreement as to the definition of the quantity is calculated using True Value = Erroneous Quantity/(Percentage Error+1). To calculate True Quantity, you need Erroneous Quantity (Q_err) & Percentage Error (%E). With our tool, you need to enter the respective value for Erroneous Quantity & Percentage 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 Erroneous Quantity & Percentage Error. We can use 1 other way(s) to calculate the same, which is/are as follows -

True Value = Absolute Value/Relative Static Error

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