Percent Error Calculator With Example Explained

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Calculator Use
This Percent Error Calculator (% error calculator) will calculate the percentage error between an experimental measured value and a theoretical actual value.

Percentage Error Formula
Percentage Error=|E−T||T|×100
How to calculate percent error: an example
To make it easier for you to understand what percent error is, we'll analyze a simple example. Let's assume that we want to find out what is the relative error between the measured and true values of the speed of sound.

Check what the real value of the speed of sound is. In the air at 20°C, it is 343 m/s

Take your measurement. You found it was equal to 329 m/s.

Subtract the observed value from the true value:

343 - 329 = 14 m/s

14 m/s is the absolute error. To calculate the percent error, you need to divide it by the true value:
percent error = 14 / 343 *100% = 4.082%

The percent error, otherwise known as the relative error, is equal to 4.082%.
Example: Let's say a scientist takes a measurement of the ...
... density of an object and determines that it is 3600 grams per cubic decimeter. The accepted density of the object is 4600 grams per cubic decimeter.

Percent Error Formula
Percent Error can be calculated from the formula
Percent Error = ((True Value - Observed Value)/ True Value) x 100

The collection of tools employs the study of methods and procedures used for gathering, organizing, and analyzing data to understand theory of Probability and Statistics. The set of ideas which is intended to offer the way for making scientific implication from such resulting summarized data. In many applications it is necessary to calculate the percent error for a given set of data, where this online percent error calculator can help you to effortlessly make your calculations for given data set.

The percent error of the measurement can be determined as follows:

Percent Error = | (Observed Value - Accepted Value) / Accepted Value | × 100

Percent Error = | (3600 g/dm3 - 4600 g/dm3) / 4600 g/dm3 | × 100

= | -1000 g/dm3 / 4600 g/dm3 | × 100

= 21.74%.