True Error Calculator

✖True value is the actual value of any process done in survey.ⓘ True Value [X]			+10% -10%
✖Observed value is the value which the observer notes during surveying.ⓘ Observed Value [x]			+10% -10%

✖True error is the difference between the true value of a quantity and its observed value.ⓘ True Error [ε_x]

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True Error Solution

STEP 0: Pre-Calculation Summary

Formula Used

True Error = True Value-Observed Value
ε_x = X-x
This formula uses 3 Variables

Variables Used

True Error - True error is the difference between the true value of a quantity and its observed value.
True Value - True value is the actual value of any process done in survey.
Observed Value - Observed value is the value which the observer notes during surveying.

STEP 1: Convert Input(s) to Base Unit

True Value: 480 --> No Conversion Required
Observed Value: 159 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ε_x = X-x --> 480-159

Evaluating ... ...

ε_x = 321

STEP 3: Convert Result to Output's Unit

321 --> No Conversion Required

FINAL ANSWER

321 <-- True Error

(Calculation completed in 00.004 seconds)

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Credits

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

Ishita Goyal has verified this Calculator and 2600+ more calculators!

< 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

True Error Formula

LaTeX Go

True Error = True Value-Observed Value
ε_x = X-x

What is a True Value?

The true value of a measurement can never be found, even though such a value exists. This is evident when observing an angle with a one-second theodolite; no matter how many times the angle is read, a slightly different value will always be obtained.

How to Calculate True Error?

True Error calculator uses True Error = True Value-Observed Value to calculate the True Error, The True Error is defined as the difference between true value and observed value. It is considered as an unmeasured quantity since true value doesn't exist. True Error is denoted by ε_x symbol.

How to calculate True Error using this online calculator? To use this online calculator for True Error, enter True Value (X) & Observed Value (x) and hit the calculate button. Here is how the True Error calculation can be explained with given input values -> 321 = 480-159.

FAQ

What is True Error?

The True Error is defined as the difference between true value and observed value. It is considered as an unmeasured quantity since true value doesn't exist and is represented as ε_x = X-x or True Error = True Value-Observed Value. True value is the actual value of any process done in survey & Observed value is the value which the observer notes during surveying.

How to calculate True Error?

The True Error is defined as the difference between true value and observed value. It is considered as an unmeasured quantity since true value doesn't exist is calculated using True Error = True Value-Observed Value. To calculate True Error, you need True Value (X) & Observed Value (x). With our tool, you need to enter the respective value for True Value & Observed Value 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 Error?

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

True Error = Relative Error*Observed Value

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