True Error given Relative Error Solution

STEP 0: Pre-Calculation Summary
Formula Used
True Error = Relative Error*Observed Value
εx = Rx*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.
Relative Error - Relative error is a measure of the error in relation to the size of the measurement.
Observed Value - Observed value is the value which the observer notes during surveying.
STEP 1: Convert Input(s) to Base Unit
Relative Error: 2 --> No Conversion Required
Observed Value: 159 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
εx = Rx*x --> 2*159
Evaluating ... ...
εx = 318
STEP 3: Convert Result to Output's Unit
318 --> No Conversion Required
FINAL ANSWER
318 <-- True Error
(Calculation completed in 00.020 seconds)

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Created by Chandana P Dev
NSS College of Engineering (NSSCE), Palakkad
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21 Theory of Errors Calculators

Standard Error of Function where variables are Subjected to Addition
Go Standard Error in Function = sqrt(Standard Error in x coordinate^2+Standard Error in y coordinate^2+Standard Error in z coordinate^2)
Most Probable Value with Different Weightage
Go Most Probable Value = add(Weightage*Measured Quantity)/add(Weightage)
Standard Deviation of Weighted Observations
Go Weighted Standard Deviation = sqrt(Sum of Weighted Residual Variation/(Number of Observations-1))
Standard Deviation used for Survey Errors
Go Standard Deviation = sqrt(Sum of Square of Residual Variation/(Number of Observations-1))
Mean Error given Specified Error of Single Measurement
Go Error of Mean = Specified Error of a Single Measurement/(sqrt(Number of Observations))
Standard Error of Mean of Weighted Observations
Go Standard Error of Mean = Weighted Standard Deviation/sqrt(Sum of Weightage)
Probable Error of Mean
Go Probable Mean of Error = Probable Error in Single Measurement/(Number of Observations^0.5)
Variance of Observations
Go Variance = Sum of Square of Residual Variation/(Number of Observations-1)
Mean Error given Sum of Errors
Go Error of Mean = Sum of Errors of Observations/Number of Observations
Most Probable Value with Same Weightage for Observations
Go Most Probable Value = Sum of Observed Values/Number of Observations
Residual Variation given Most Probable Value
Go Residual Variation = Measured Value-Most Probable Value
Most Probable Value given Residual Error
Go Most Probable Value = Observed Value-Residual Error
Observed Value given Residual Error
Go Observed Value = Residual Error+Most Probable Value
Residual Error
Go Residual Error = Observed Value-Most Probable Value
Observed Value given Relative Error
Go Observed Value = True Error/Relative Error
True Error given Relative Error
Go True Error = Relative Error*Observed Value
Relative Error
Go Relative Error = True Error/Observed Value
Observed Value given True Error
Go Observed Value = True Value-True Error
True Value given True Error
Go True Value = True Error+Observed Value
True Error
Go True Error = True Value-Observed Value
Most Probable Error given Standard Deviation
Go Most Probable Error = 0.6745*Standard Deviation

True Error given Relative Error Formula

True Error = Relative Error*Observed Value
εx = Rx*x

What is an Indirect Observation?

An indirect observation is one in which the observed value is deduced from the measurement of some related quantities, e.g., the measurement of angle by repetition (a multiple of the angle being measured.)

How to Calculate True Error given Relative Error?

True Error given Relative Error calculator uses True Error = Relative Error*Observed Value to calculate the True Error, The True Error given Relative Error relates the relationship between the relative error and observed value. True Error is denoted by εx symbol.

How to calculate True Error given Relative Error using this online calculator? To use this online calculator for True Error given Relative Error, enter Relative Error (Rx) & Observed Value (x) and hit the calculate button. Here is how the True Error given Relative Error calculation can be explained with given input values -> 318 = 2*159.

FAQ

What is True Error given Relative Error?
The True Error given Relative Error relates the relationship between the relative error and observed value and is represented as εx = Rx*x or True Error = Relative Error*Observed Value. Relative error is a measure of the error in relation to the size of the measurement & Observed value is the value which the observer notes during surveying.
How to calculate True Error given Relative Error?
The True Error given Relative Error relates the relationship between the relative error and observed value is calculated using True Error = Relative Error*Observed Value. To calculate True Error given Relative Error, you need Relative Error (Rx) & Observed Value (x). With our tool, you need to enter the respective value for Relative Error & 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 Relative Error & Observed Value. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • True Error = True Value-Observed Value
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