Most Probable Error given Standard Deviation Calculator

✖Most probable error is defined as that quantity which added or subtracted to the most probable value.ⓘ Most Probable Error given Standard Deviation [MPE]

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Most Probable Error given Standard Deviation

Formula

`"MPE" = 0.6745*"σ"`

Example

`"0.897085"=0.6745*"1.33"`

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Most Probable Error given Standard Deviation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Most Probable Error = 0.6745*Standard Deviation
MPE = 0.6745*σ
This formula uses 2 Variables

Variables Used

Most Probable Error - Most probable error is defined as that quantity which added or subtracted to the most probable value.
Standard Deviation - The Standard Deviation is a measure of how spread out numbers are.

STEP 1: Convert Input(s) to Base Unit

Standard Deviation: 1.33 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

MPE = 0.6745*σ --> 0.6745*1.33

Evaluating ... ...

MPE = 0.897085

STEP 3: Convert Result to Output's Unit

0.897085 --> No Conversion Required

FINAL ANSWER

0.897085 <-- Most Probable Error

(Calculation completed in 00.004 seconds)

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Created by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

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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 Error given Standard Deviation Formula

Most Probable Error = 0.6745*Standard Deviation
MPE = 0.6745*σ

What is the Significance of Most Probable Error (MPE) in measurements?

Most Probable Error (MPE) is significant in measurements as it provides an estimate of the precision of the measurement. It indicates the range of values within which the true value of the measurement is expected to lie with a 50% probability.

How to Calculate Most Probable Error given Standard Deviation?

Most Probable Error given Standard Deviation calculator uses Most Probable Error = 0.6745*Standard Deviation to calculate the Most Probable Error, The Most Probable Error given Standard Deviation formula is defined as the quantity which added to, and subtracted from, the most probable value fixes the limits within which it is an even chance the actual value of the measured quantity must lie. Most Probable Error is denoted by MPE symbol.

How to calculate Most Probable Error given Standard Deviation using this online calculator? To use this online calculator for Most Probable Error given Standard Deviation, enter Standard Deviation (σ) and hit the calculate button. Here is how the Most Probable Error given Standard Deviation calculation can be explained with given input values -> 0.897085 = 0.6745*1.33.

FAQ

What is Most Probable Error given Standard Deviation?

How to calculate Most Probable Error given Standard Deviation?

The Most Probable Error given Standard Deviation formula is defined as the quantity which added to, and subtracted from, the most probable value fixes the limits within which it is an even chance the actual value of the measured quantity must lie is calculated using Most Probable Error = 0.6745*Standard Deviation. To calculate Most Probable Error given Standard Deviation, you need Standard Deviation (σ). With our tool, you need to enter the respective value for Standard Deviation and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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