Mean Error given Sum of Errors Solution

STEP 0: Pre-Calculation Summary
Formula Used
Error of Mean = Sum of Errors of Observations/Number of Observations
Em = ΣE/nobs
This formula uses 3 Variables
Variables Used
Error of Mean - Error of Mean is the error in calculating the mean of the observations.
Sum of Errors of Observations - Sum of Errors of Observations is the sum of all probable errors in separate measurement.
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
Sum of Errors of Observations: 2.4 --> No Conversion Required
Number of Observations: 4 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Em = ΣE/nobs --> 2.4/4
Evaluating ... ...
Em = 0.6
STEP 3: Convert Result to Output's Unit
0.6 --> No Conversion Required
FINAL ANSWER
0.6 <-- Error of Mean
(Calculation completed in 00.020 seconds)

Credits

Created by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
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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

Mean Error given Sum of Errors Formula

Error of Mean = Sum of Errors of Observations/Number of Observations
Em = ΣE/nobs

What is Mean Error?

Mean Error is the ratio of total error found in the measurement in all the observations per unit number of observations. In other words, it is the mean of the total error that occurred.

What is a Specified Error of a Single measurement?

The specified error of a single measurement is the maximum amount of error that can be expected in a single measurement based on the specifications of the measuring instrument.

How to Calculate Mean Error given Sum of Errors?

Mean Error given Sum of Errors calculator uses Error of Mean = Sum of Errors of Observations/Number of Observations to calculate the Error of Mean, The Mean Error given Sum of Errors formula is defined as the mean of the sum of errors in observation during the measurement. Error of Mean is denoted by Em symbol.

How to calculate Mean Error given Sum of Errors using this online calculator? To use this online calculator for Mean Error given Sum of Errors, enter Sum of Errors of Observations (ΣE) & Number of Observations (nobs) and hit the calculate button. Here is how the Mean Error given Sum of Errors calculation can be explained with given input values -> 0.6 = 2.4/4.

FAQ

What is Mean Error given Sum of Errors?
The Mean Error given Sum of Errors formula is defined as the mean of the sum of errors in observation during the measurement and is represented as Em = ΣE/nobs or Error of Mean = Sum of Errors of Observations/Number of Observations. Sum of Errors of Observations is the sum of all probable errors in separate measurement & Number of Observations refers to the number of observations taken in the given data collection.
How to calculate Mean Error given Sum of Errors?
The Mean Error given Sum of Errors formula is defined as the mean of the sum of errors in observation during the measurement is calculated using Error of Mean = Sum of Errors of Observations/Number of Observations. To calculate Mean Error given Sum of Errors, you need Sum of Errors of Observations (ΣE) & Number of Observations (nobs). With our tool, you need to enter the respective value for Sum of Errors of Observations & Number of Observations and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Error of Mean?
In this formula, Error of Mean uses Sum of Errors of Observations & Number of Observations. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Error of Mean = Specified Error of a Single Measurement/(sqrt(Number of Observations))
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