Here is a simple equation for the clarification of percentage error with the percent error calculator.
Absolute Error= |Vtrue - Vobserved|
Relative Error= |Vtrue - Vobserved| / Vtrue
Percentage Error= (|Vtrue - Vobserved|/ Vtrue) X 100
Use of Percent Error Calculator
The use of this error calculator helps
calculate the estimated percentage error noted between theoretical
value and the experimental value measured during the observation
The formula for Percent Error Calculator
Percentage Error = (|E-T| / |T|) X 100
Here, E= Experimental Value
T= Theoretical Value
This particular formula is closely similar to the percentage change.
Suppose you participated in an experiment for the measurement of water's boiling point. The average result comes at 101.5°C. This particular number is the experimental or measured value. However, we have known for years that the boiling point for water is actually 100°C. This is the actual or theoretical value.
Now, how can you calculate the percentage error between the estimated value= 101.5°C and the Actual value= 100°C.
Plugin the numbers into the formula and the result is 1.5 percentage of error.
The margin of Error, Percent Error, & Standard Error
There are several terms closely associated
with the calculation of the percentage of error. In order to
ensure that you aren't confused about these terms, here is a short
definition for all.
Percent error is precisely the overall
difference between the true value and the observed value.
This is a statistical value which is
calculated for the complete data set. It describes the overall
accuracy for sample representation of the complete population.
The error margin is similar to the
confidence interval. This statistical data can be calculated using
multiplication of standard error accompanied by Z-Score in
correspondence to the confidence level.
Key Points to Remember When Calculating Percent Error:
- The prime purpose of the percent Error Calculator is gauging
how close the estimated value is to the true value.
- Percentage Error, in simple terms, is the narrow difference
between theoretical value and the experimental value. This is
then divided by theoretical value and then multiplied by a 100 to
obtain the error.
- In some of the fields, the percentage error is mostly
expressed in the form of a positive number. While in others,
either the negative or positive value is correct. The exact sign
may be noted for the determination of whether the recorded values
have consistently fallen below or above the expected values.
- Percentage Error is a form of the calculation method for
error. Relative and absolute errors are two of the common
calculations apart from percent error. The percentage error is an
exclusive part of the analysis for comprehensive error.
- The best to report the error is to correctly understand
whether there is a drop in the sign (negative or positive) during
the calculation & reporting of values using the correct number
for significant figures.
Calculation Steps for Percent Error Calculator :
- Subtract one of the values from another. Now, the order isn't
of much significance if you plan to drop the signs. But, if you
want to keep the negative signs, you need to subtract the
theoretical value of the experiment from the acquired
experimental value. This particular value is 'Error'.
- Divide this error by ideal or exact value. This will result in
obtaining the decimal number.
- Now, convert this decimal number to a percentage value by
multiplication of the result with 100.
- Add the percentage symbol in order to report the percentage
error in the value originally obtained.