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(wi*xi)/add(wi)
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(wi*xi)/add(wi) --> 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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NSS College of Engineering (NSSCE), Palakkad
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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

Most Probable Value with Different Weightage Formula

​LaTeX ​Go
Most Probable Value = add(Weightage*Measured Quantity)/add(Weightage)
MPV = add(wi*xi)/add(wi)

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 (wi) & Measured Quantity (xi) 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(wi*xi)/add(wi) 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 (wi) & Measured Quantity (xi). 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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