Residual Variation given Most Probable Value Calculator

✖Measured value is the value which is been noted by the surveyor during a process.ⓘ Measured Value [m]			+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 Variation is the difference between measured value and most probable value.ⓘ Residual Variation given Most Probable Value [V]

⎘ Copy

👎

Formula

✖

Residual Variation given Most Probable Value

Formula

`"V" = "m"-"MPV"`

Example

`"20.9"="99.9"-"79"`

Calculator

LaTeX

Reset

👍

Download Theory of Errors Formulas PDF

Residual Variation given Most Probable Value Solution

STEP 0: Pre-Calculation Summary

Formula Used

Residual Variation = Measured Value-Most Probable Value
V = m-MPV
This formula uses 3 Variables

Variables Used

Residual Variation - Residual Variation is the difference between measured value and most probable value.
Measured Value - Measured value is the value which is been noted by the surveyor during a process.
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

Measured Value: 99.9 --> No Conversion Required
Most Probable Value: 79 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = m-MPV --> 99.9-79

Evaluating ... ...

V = 20.9

STEP 3: Convert Result to Output's Unit

20.9 --> No Conversion Required

FINAL ANSWER

20.9 <-- Residual Variation

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Surveying Formulas » Theory of Errors » Residual Variation given Most Probable Value

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!

< 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

Residual Variation given Most Probable Value Formula

Residual Variation = Measured Value-Most Probable Value
V = m-MPV

How does Residual Variation impact the Accuracy of Statistical Models?

Residual variation is a measure of how well a statistical model fits the data. The lower the residual variation, the more accurate the model. High residual variation indicates that there is still a lot of unexplained variation in the data and the model may not be a good fit.

How to Calculate Residual Variation given Most Probable Value?

Residual Variation given Most Probable Value calculator uses Residual Variation = Measured Value-Most Probable Value to calculate the Residual Variation, The Residual Variation given Most Probable Value is defined as the difference between the measured value and most probable value. Measured value is the value which is noted during the process and most probable value is the which has more chances of being true. Residual Variation is denoted by V symbol.

How to calculate Residual Variation given Most Probable Value using this online calculator? To use this online calculator for Residual Variation given Most Probable Value, enter Measured Value (m) & Most Probable Value (MPV) and hit the calculate button. Here is how the Residual Variation given Most Probable Value calculation can be explained with given input values -> 20.9 = 99.9-79.

FAQ

What is Residual Variation given Most Probable Value?

The Residual Variation given Most Probable Value is defined as the difference between the measured value and most probable value. Measured value is the value which is noted during the process and most probable value is the which has more chances of being true and is represented as V = m-MPV or Residual Variation = Measured Value-Most Probable Value. Measured value is the value which is been noted by the surveyor during a process & 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 Variation given Most Probable Value?

The Residual Variation given Most Probable Value is defined as the difference between the measured value and most probable value. Measured value is the value which is noted during the process and most probable value is the which has more chances of being true is calculated using Residual Variation = Measured Value-Most Probable Value. To calculate Residual Variation given Most Probable Value, you need Measured Value (m) & Most Probable Value (MPV). With our tool, you need to enter the respective value for Measured 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.

Home

FREE PDFs

🔍 Search