Most Probable Value with Different Weightage Calculator

✖Weightage or weight of an observation is a measure of an observation's relative worth compared to other observations.ⓘ Weightage [w_i]			+10% -10%
✖Measured quantity is a value which is measured during the process or called as the observation values.ⓘ Measured Quantity [x_i]			+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 with Different Weightage [MPV]

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Most Probable Value with Different Weightage

Formula

`"MPV" = add("w"_{"i"}*"x"_{"i"})/add("w"_{"i"})`

Example

`"78"=add("10"*"78")/add("10")`

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Most Probable Value with Different Weightage Solution

STEP 0: Pre-Calculation Summary

Formula Used

Most Probable Value = add(Weightage*Measured Quantity)/add(Weightage)
MPV = add(w_i*x_i)/add(w_i)
This formula uses 1 Functions, 3 Variables

Functions Used

add - Add function that involves adding two or more numbers together to get their sum., add(a1, …, an)

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.
Weightage - Weightage or weight of an observation is a measure of an observation's relative worth compared to other observations.
Measured Quantity - Measured quantity is a value which is measured during the process or called as the observation values.

STEP 1: Convert Input(s) to Base Unit

Weightage: 10 --> No Conversion Required
Measured Quantity: 78 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

MPV = add(w_i*x_i)/add(w_i) --> add(10*78)/add(10)

Evaluating ... ...

MPV = 78

STEP 3: Convert Result to Output's Unit

78 --> No Conversion Required

FINAL ANSWER

78 <-- Most Probable Value

(Calculation completed in 00.004 seconds)

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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 with Different Weightage Formula

Most Probable Value = add(Weightage*Measured Quantity)/add(Weightage)
MPV = add(w_i*x_i)/add(w_i)

What is the difference between the MPV and other measures of Central Tendency?

The MPV differs from the mean and median in that it is not based on an averaging process, but instead reflects the point in the distribution with the highest probability of occurrence. This makes it a useful measure of central tendency in cases where the data is skewed or has outliers.

How to Calculate Most Probable Value with Different Weightage?

Most Probable Value with Different Weightage calculator uses Most Probable Value = add(Weightage*Measured Quantity)/add(Weightage) to calculate 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 calculate Most Probable Value with Different Weightage using this online calculator? To use this online calculator for Most Probable Value with Different Weightage, enter Weightage (w_i) & Measured Quantity (x_i) and hit the calculate button. Here is how the Most Probable Value with Different Weightage calculation can be explained with given input values -> 78 = add(10*78)/add(10).

FAQ

What is Most Probable Value with Different Weightage?

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 and is represented as MPV = add(w_i*x_i)/add(w_i) or Most Probable Value = add(Weightage*Measured Quantity)/add(Weightage). Weightage or weight of an observation is a measure of an observation's relative worth compared to other observations & Measured quantity is a value which is measured during the process or called as the observation values.

How to calculate Most Probable Value with Different Weightage?

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 is calculated using Most Probable Value = add(Weightage*Measured Quantity)/add(Weightage). To calculate Most Probable Value with Different Weightage, you need Weightage (w_i) & Measured Quantity (x_i). With our tool, you need to enter the respective value for Weightage & Measured Quantity 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 Weightage & Measured Quantity. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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