Most Probable Value given Residual Error Calculator

✖Observed value is the value which the observer notes during surveying.ⓘ Observed Value [x]			+10% -10%
✖Residual error is the difference between the most probable value of a quantity and its observed value.ⓘ Residual Error [r]			+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 given Residual Error [MPV]

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Most Probable Value given Residual Error

Formula

`"MPV" = "x"-"r"`

Example

`"79"="159"-"80"`

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Most Probable Value given Residual Error Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
Observed Value - Observed value is the value which the observer notes during surveying.
Residual Error - Residual error is the difference between the most probable value of a quantity and its observed value.

STEP 1: Convert Input(s) to Base Unit

Observed Value: 159 --> No Conversion Required
Residual Error: 80 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

MPV = x-r --> 159-80

Evaluating ... ...

MPV = 79

STEP 3: Convert Result to Output's Unit

79 --> No Conversion Required

FINAL ANSWER

79 <-- Most Probable Value

(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!

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Meerut Institute of Engineering and Technology (MIET), Meerut

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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

Most Probable Value given Residual Error Formula

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

What is Residual Error?

Residual error is the difference between the actual response given by a survey participant and the response that was expected based on the statistical model used for analysis.

How to Calculate Most Probable Value given Residual Error?

Most Probable Value given Residual Error calculator uses Most Probable Value = Observed Value-Residual Error to calculate the Most Probable Value, The Most Probable Value given Residual Error formula is defined as the observed value and residual error. The most probable value always stays close to the true value, but it can never be the true value. Most Probable Value is denoted by MPV symbol.

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

FAQ

What is Most Probable Value given Residual Error?

The Most Probable Value given Residual Error formula is defined as the observed value and residual error. The most probable value always stays close to the true value, but it can never be the true value and is represented as MPV = x-r or Most Probable Value = Observed Value-Residual Error. Observed value is the value which the observer notes during surveying & Residual error is the difference between the most probable value of a quantity and its observed value.

How to calculate Most Probable Value given Residual Error?

The Most Probable Value given Residual Error formula is defined as the observed value and residual error. The most probable value always stays close to the true value, but it can never be the true value is calculated using Most Probable Value = Observed Value-Residual Error. To calculate Most Probable Value given Residual Error, you need Observed Value (x) & Residual Error (r). With our tool, you need to enter the respective value for Observed Value & Residual 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 Most Probable Value?

In this formula, Most Probable Value uses Observed Value & Residual Error. We can use 2 other way(s) to calculate the same, which is/are as follows -

Most Probable Value = add(Weightage*Measured Quantity)/add(Weightage)
Most Probable Value = Sum of Observed Values/Number of Observations

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