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Most Probable Value with Different Weightage Formula

GoMost Probable Value with Same Weightage for Observations Formula

GoMost Probable Value given Residual Error Formula

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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. Check FAQs

MPV = a d d \frac{w i \cdot x i}{a} d d (w i)

MPV - Most Probable Value?w_i - Weightage?x_i - Measured Quantity?

Most Probable Value with Different Weightage Example

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Here is how the Most Probable Value with Different Weightage equation looks like with Values.

Here is how the Most Probable Value with Different Weightage equation looks like with Units.

Here is how the Most Probable Value with Different Weightage equation looks like.

78 = a d d \frac{10 \cdot 78}{a} d d (10)

78 = a d d \frac{10 \cdot 78}{a} d d (10)

78 = a d d \frac{10 \cdot 78}{a} d d (10)

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Most Probable Value with Different Weightage Solution

Follow our step by step solution on how to calculate Most Probable Value with Different Weightage?

FIRST Step Consider the formula

MPV = a d d \frac{w i \cdot x i}{a} d d (w i)

Next Step Substitute values of Variables

∴

MPV = a d d \frac{10 \cdot 78}{a} d d (10)

Next Step Prepare to Evaluate

∴

MPV = a d d \frac{10 \cdot 78}{a} d d (10)

LAST Step Evaluate

∴

MPV = 78

Most Probable Value with Different Weightage Formula Elements

Variables

Functions

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.

Symbol: MPV

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Most Probable Value

Weightage

Weightage or weight of an observation is a measure of an observation's relative worth compared to other observations.

Symbol: w_i

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Weightage

Measured Quantity

Measured quantity is a value which is measured during the process or called as the observation values.

Symbol: x_i

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Measured Quantity

add

Add function that involves adding two or more numbers together to get their sum.

Syntax: add(a1, …, an)

Other Formulas to find Most Probable Value

Go Most Probable Value with Same Weightage for Observations

MPV = \frac{Ʃx i}{n obs}

Go Most Probable Value given Residual Error

MPV = x - r

Other formulas in Theory of Errors category

Go Probable Error of Mean

PE m = \frac{PE s}{{n obs}^{0.5}}

Go Mean Error given Sum of Errors

E m = \frac{ΣE}{n obs}

Go Mean Error given Specified Error of Single Measurement

E m = \frac{E s}{\sqrt{n obs}}

Go True Error

ε x = X - x

How to Evaluate Most Probable Value with Different Weightage?

Most Probable Value with Different Weightage evaluator uses Most Probable Value = add(Weightage*Measured Quantity)/add(Weightage) to evaluate the Most Probable Value, The Most Probable Value with Different Weightage formula is defined as the value whose sum of error value is the least. The most probable value is always close to the true value but never the true value. Most Probable Value is denoted by MPV symbol.

How to evaluate Most Probable Value with Different Weightage using this online evaluator? To use this online evaluator for Most Probable Value with Different Weightage, enter Weightage (w_i) & Measured Quantity (x_i) and hit the calculate button.

FAQs on Most Probable Value with Different Weightage

What is the formula to find Most Probable Value with Different Weightage?

The formula of Most Probable Value with Different Weightage is expressed as Most Probable Value = add(Weightage*Measured Quantity)/add(Weightage). Here is an example- 78 = add(10*78)/add(10).

How to calculate Most Probable Value with Different Weightage?

With Weightage (w_i) & Measured Quantity (x_i) we can find Most Probable Value with Different Weightage using the formula - Most Probable Value = add(Weightage*Measured Quantity)/add(Weightage). This formula also uses Additon function(s).

What are the other ways to Calculate Most Probable Value?

Here are the different ways to Calculate Most Probable Value-

Most Probable Value=Sum of Observed Values/Number of Observations
Most Probable Value=Observed Value-Residual Error

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Most Probable Value with Different Weightage Formula

​GoMost Probable Value with Same Weightage for Observations Formula

​GoMost Probable Value given Residual Error Formula

Most Probable Value with Different Weightage Example

Most Probable Value with Different Weightage Solution

Most Probable Value with Different Weightage Formula Elements

Other Formulas to find Most Probable Value

Other formulas in Theory of Errors category

How to Evaluate Most Probable Value with Different Weightage?

FAQs on Most Probable Value with Different Weightage

Variable Name

GoMost Probable Value with Same Weightage for Observations Formula

GoMost Probable Value given Residual Error Formula