Mean Error given Sum of Errors Calculator

✖Sum of Errors of Observations is the sum of all probable errors in separate measurement.ⓘ Sum of Errors of Observations [ΣE]			+10% -10%
✖Number of Observations refers to the number of observations taken in the given data collection.ⓘ Number of Observations [n_obs]			+10% -10%

✖Error of Mean is the error in calculating the mean of the observations.ⓘ Mean Error given Sum of Errors [E_m]

⎘ Copy

👎

Formula

✖

Mean Error given Sum of Errors

Formula

E m = \frac{ΣE}{n obs}

Example

0.6 = \frac{2.40}{4}

Calculator

LaTeX

Reset

👍

Download Theory of Errors Formulas PDF PDF Image

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
E_m = ΣE/n_obs
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

E_m = ΣE/n_obs --> 2.4/4

Evaluating ... ...

E_m = 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 00.004 seconds)

You are here -

Home » Engineering » Civil » Surveying Formulas » Theory of Errors » Mean Error given Sum of Errors

Credits

Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

Rithik Agrawal has created this Calculator and 1300+ more calculators!

Verified by Himanshi Sharma

Bhilai Institute of Technology (BIT), Raipur

Himanshi Sharma has verified this Calculator and 800+ more calculators!

< 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

Mean Error given Sum of Errors Formula

Error of Mean = Sum of Errors of Observations/Number of Observations
E_m = ΣE/n_obs

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 E_m 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 (n_obs) 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 E_m = ΣE/n_obs 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 (n_obs). 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))

Home

FREE PDFs

🔍 Search