Most Probable Error given Standard Deviation Calculator

✖The Standard Deviation is a measure of how spread out numbers are.ⓘ Standard Deviation [σ]

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✖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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Formula

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Most Probable Error given Standard Deviation

Formula

MPE = 0.6745 \cdot σ

Example

0.897085 = 0.6745 \cdot 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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< Theory of Errors Calculators

Mean Error given Specified Error of Single Measurement

Go Error of Mean = Specified Error of a Single Measurement/(sqrt(Number of Observations))

Probable Error of Mean

Go Probable Mean of Error = Probable Error in Single Measurement/(Number of Observations^0.5)

Mean Error given Sum of Errors

Go Error of Mean = Sum of Errors of Observations/Number of Observations

True Error

Go True Error = True Value-Observed Value

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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