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Probable Error of Mean Formula

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Probable Mean of Error is the mean of the all the errors during the measurement. Check FAQs

PE m = \frac{PE s}{{n obs}^{0.5}}

PE_m - Probable Mean of Error?PE_s - Probable Error in Single Measurement?n_obs - Number of Observations?

Probable Error of Mean Example

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Here is how the Probable Error of Mean equation looks like with Values.

Here is how the Probable Error of Mean equation looks like with Units.

Here is how the Probable Error of Mean equation looks like.

0.005 = \frac{0.01}{4^{0.5}}

0.005 = \frac{0.01}{4^{0.5}}

0.005 = \frac{0.01}{4^{0.5}}

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Probable Error of Mean Solution

Follow our step by step solution on how to calculate Probable Error of Mean?

FIRST Step Consider the formula

PE m = \frac{PE s}{{n obs}^{0.5}}

Next Step Substitute values of Variables

∴

PE m = \frac{0.01}{4^{0.5}}

Next Step Prepare to Evaluate

∴

PE m = \frac{0.01}{4^{0.5}}

LAST Step Evaluate

∴

PE m = 0.005

Probable Error of Mean Formula Elements

Variables

Probable Mean of Error

Probable Mean of Error is the mean of the all the errors during the measurement.

Symbol: PE_m

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Probable Mean of Error

Probable Error in Single Measurement

Probable Error in Single Measurement is error occurred while measuring a single quantity.

Symbol: PE_s

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Probable Error in Single Measurement

Number of Observations

Number of Observations refers to the number of observations taken in the given data collection.

Symbol: n_obs

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Number of Observations

Other formulas in Theory of Errors category

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

Go True Value given True Error

X = ε x + x

How to Evaluate Probable Error of Mean?

Probable Error of Mean evaluator uses Probable Mean of Error = Probable Error in Single Measurement/(Number of Observations^0.5) to evaluate the Probable Mean of Error, The Probable Error of Mean formula is defined as the half-range of an interval about a central point for the distributions. Probable Mean of Error is denoted by PE_m symbol.

How to evaluate Probable Error of Mean using this online evaluator? To use this online evaluator for Probable Error of Mean, enter Probable Error in Single Measurement (PE_s) & Number of Observations (n_obs) and hit the calculate button.

FAQs on Probable Error of Mean

What is the formula to find Probable Error of Mean?

The formula of Probable Error of Mean is expressed as Probable Mean of Error = Probable Error in Single Measurement/(Number of Observations^0.5). Here is an example- 0.005 = 0.01/(4^0.5).

How to calculate Probable Error of Mean?

With Probable Error in Single Measurement (PE_s) & Number of Observations (n_obs) we can find Probable Error of Mean using the formula - Probable Mean of Error = Probable Error in Single Measurement/(Number of Observations^0.5).

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Probable Error of Mean Formula

Probable Error of Mean Example

Probable Error of Mean Solution

Probable Error of Mean Formula Elements

Other formulas in Theory of Errors category

How to Evaluate Probable Error of Mean?

FAQs on Probable Error of Mean

Variable Name