Residual Error Calculator

✖Observed value is the value which the observer notes during surveying.ⓘ Observed Value [x]			+10% -10%
✖Most probable value of a quantity is the one which has more chances of being true than has any other. It is deduced from the several measurements on which it is based.ⓘ Most Probable Value [MPV]			+10% -10%

✖Residual error is the difference between the most probable value of a quantity and its observed value.ⓘ Residual Error [r]

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Residual Error Solution

STEP 0: Pre-Calculation Summary

Formula Used

Residual Error = Observed Value-Most Probable Value
r = x-MPV
This formula uses 3 Variables

Variables Used

Residual Error - Residual error is the difference between the most probable value of a quantity and its observed value.
Observed Value - Observed value is the value which the observer notes during surveying.
Most Probable Value - Most probable value of a quantity is the one which has more chances of being true than has any other. It is deduced from the several measurements on which it is based.

STEP 1: Convert Input(s) to Base Unit

Observed Value: 159 --> No Conversion Required
Most Probable Value: 79 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r = x-MPV --> 159-79

Evaluating ... ...

r = 80

STEP 3: Convert Result to Output's Unit

80 --> No Conversion Required

FINAL ANSWER

80 <-- Residual Error

(Calculation completed in 00.004 seconds)

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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

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< 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

Residual Error Formula

LaTeX Go

Residual Error = Observed Value-Most Probable Value
r = x-MPV

What are the Sources of Error?

Natural errors: These result from the temperature, refraction, obstacles to measurements, magnetic declination, etc. For example, the length of a steel tape varies with changes in temperature. Such sources of error are beyond the control of the surveyor.

How to Calculate Residual Error?

Residual Error calculator uses Residual Error = Observed Value-Most Probable Value to calculate the Residual Error, The Residual Error is the difference between the most probable value of a quantity and its observed value. The most probable value of a quantity is the one which has more chances of being true than has any other. Residual Error is denoted by r symbol.

How to calculate Residual Error using this online calculator? To use this online calculator for Residual Error, enter Observed Value (x) & Most Probable Value (MPV) and hit the calculate button. Here is how the Residual Error calculation can be explained with given input values -> 80 = 159-79.

FAQ

What is Residual Error?

The Residual Error is the difference between the most probable value of a quantity and its observed value. The most probable value of a quantity is the one which has more chances of being true than has any other and is represented as r = x-MPV or Residual Error = Observed Value-Most Probable Value. Observed value is the value which the observer notes during surveying & Most probable value of a quantity is the one which has more chances of being true than has any other. It is deduced from the several measurements on which it is based.

How to calculate Residual Error?

The Residual Error is the difference between the most probable value of a quantity and its observed value. The most probable value of a quantity is the one which has more chances of being true than has any other is calculated using Residual Error = Observed Value-Most Probable Value. To calculate Residual Error, you need Observed Value (x) & Most Probable Value (MPV). With our tool, you need to enter the respective value for Observed Value & Most Probable Value and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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