Probable Error of Mean Calculator

✖Probable Error in Single Measurement is error occurred while measuring a single quantity.ⓘ Probable Error in Single Measurement [PE_s]			+10% -10%
✖Number of Observations refers to the number of observations taken in the given data collection.ⓘ Number of Observations [n_obs]			+10% -10%

✖Probable Mean of Error is the mean of the all the errors during the measurement.ⓘ Probable Error of Mean [PE_m]

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Probable Error of Mean Solution

STEP 0: Pre-Calculation Summary

Formula Used

Probable Mean of Error = Probable Error in Single Measurement/(Number of Observations^0.5)
PE_m = PE_s/(n_obs^0.5)
This formula uses 3 Variables

Variables Used

Probable Mean of Error - Probable Mean of Error is the mean of the all the errors during the measurement.
Probable Error in Single Measurement - Probable Error in Single Measurement is error occurred while measuring a single quantity.
Number of Observations - Number of Observations refers to the number of observations taken in the given data collection.

STEP 1: Convert Input(s) to Base Unit

Probable Error in Single Measurement: 0.01 --> No Conversion Required
Number of Observations: 4 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

PE_m = PE_s/(n_obs^0.5) --> 0.01/(4^0.5)

Evaluating ... ...

PE_m = 0.005

STEP 3: Convert Result to Output's Unit

0.005 --> No Conversion Required

FINAL ANSWER

0.005 <-- Probable Mean of Error

(Calculation completed in 00.020 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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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

Probable Error of Mean Formula

LaTeX Go

Probable Mean of Error = Probable Error in Single Measurement/(Number of Observations^0.5)
PE_m = PE_s/(n_obs^0.5)

What is the Significance of the Probable Error of the Mean in Statistical Analysis?

The probable error of the mean is an important statistical tool used to assess the precision of the sample mean as an estimate of the population mean. It helps to determine how much confidence one can have in the sample mean as an accurate representation of the population mean.

How to Calculate Probable Error of Mean?

Probable Error of Mean calculator uses Probable Mean of Error = Probable Error in Single Measurement/(Number of Observations^0.5) to calculate 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 calculate Probable Error of Mean using this online calculator? To use this online calculator for Probable Error of Mean, enter Probable Error in Single Measurement (PE_s) & Number of Observations (n_obs) and hit the calculate button. Here is how the Probable Error of Mean calculation can be explained with given input values -> 0.005 = 0.01/(4^0.5).

FAQ

What is Probable Error of Mean?

The Probable Error of Mean formula is defined as the half-range of an interval about a central point for the distributions and is represented as PE_m = PE_s/(n_obs^0.5) or Probable Mean of Error = Probable Error in Single Measurement/(Number of Observations^0.5). Probable Error in Single Measurement is error occurred while measuring a single quantity & Number of Observations refers to the number of observations taken in the given data collection.

How to calculate Probable Error of Mean?

The Probable Error of Mean formula is defined as the half-range of an interval about a central point for the distributions is calculated using Probable Mean of Error = Probable Error in Single Measurement/(Number of Observations^0.5). To calculate Probable Error of Mean, you need Probable Error in Single Measurement (PE_s) & Number of Observations (n_obs). With our tool, you need to enter the respective value for Probable Error in Single Measurement & Number of Observations 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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