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Most Probable Error given Standard Deviation Formula

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Most probable error is defined as that quantity which added or subtracted to the most probable value. Check FAQs

MPE = 0.6745 \cdot σ

MPE - Most Probable Error?σ - Standard Deviation?

Most Probable Error given Standard Deviation Example

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Here is how the Most Probable Error given Standard Deviation equation looks like with Values.

Here is how the Most Probable Error given Standard Deviation equation looks like with Units.

Here is how the Most Probable Error given Standard Deviation equation looks like.

0.8971 = 0.6745 \cdot 1.33

0.8971 = 0.6745 \cdot 1.33

0.8971 = 0.6745 \cdot 1.33

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Most Probable Error given Standard Deviation Solution

Follow our step by step solution on how to calculate Most Probable Error given Standard Deviation?

FIRST Step Consider the formula

MPE = 0.6745 \cdot σ

Next Step Substitute values of Variables

∴

MPE = 0.6745 \cdot 1.33

Next Step Prepare to Evaluate

∴

MPE = 0.6745 \cdot 1.33

Next Step Evaluate

∴

MPE = 0.897085

LAST Step Rounding Answer

∴

MPE = 0.8971

Most Probable Error given Standard Deviation Formula Elements

Variables

Most Probable Error

Most probable error is defined as that quantity which added or subtracted to the most probable value.

Symbol: MPE

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Most Probable Error

Standard Deviation

The Standard Deviation is a measure of how spread out numbers are.

Symbol: σ

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Standard Deviation

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 Error given Standard Deviation?

Most Probable Error given Standard Deviation evaluator uses Most Probable Error = 0.6745*Standard Deviation to evaluate 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 evaluate Most Probable Error given Standard Deviation using this online evaluator? To use this online evaluator for Most Probable Error given Standard Deviation, enter Standard Deviation (σ) and hit the calculate button.

FAQs on Most Probable Error given Standard Deviation

What is the formula to find Most Probable Error given Standard Deviation?

The formula of Most Probable Error given Standard Deviation is expressed as Most Probable Error = 0.6745*Standard Deviation. Here is an example- 0.897085 = 0.6745*1.33.

How to calculate Most Probable Error given Standard Deviation?

With Standard Deviation (σ) we can find Most Probable Error given Standard Deviation using the formula - Most Probable Error = 0.6745*Standard Deviation.

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