 # PERCENT ERROR CALCULATOR(2020)

The percent error calculator is used to find the error percentage between the actual value and the measured value. Now, what is meant by percent error?... Percentage error simply means the measurement of the percent discrepancy between the measured value and the actual value. The measured value is generally defined as a value that one can measure manually or with the help of some kind of instrument or resource that is used to measure out the value. Since the value had been found manually or by any of the instruments or resources, it may be subject to error. The observed value should be the experimental value, that the value is recorded experimentally. The real value generally defines as a value that is the true value of an item. The true value should not be recorded experimentally.

## Percentage Error Calculator

Percent error calculator measures the overall discrepancy amid an observed & true/accepted value. Once you start measuring the data, the resulting number often varies vividly from the actual value. Errors like this can be experienced given multiple reasons which are often associated with human error. You can use computer-generated error-free results with percent error calculator. However, percentage error can also come from limitations and estimations of a device which is used for measurement. This computation process can be made easy with the use of percentage error calculator. This computation process for percent error calculator includes the use of absolute error. This is the overall difference between the true value and the observed value. The resulting absolute error in the next step is divided by the percentage of error.

## HOW TO CALCULATE THE PERCENTAGE ERROR?

PERCENTAGE ERROR FORMULA:- M-A/A * 100

• Where M = Measured value
• A= Actual value

## STEPS TO FIND OUT THE PERCENTAGE ERROR :

Lets assume that we want to find out the percentage error between the observed value and the true value of the speed of sound in water.

• Find out the actual value of the speed of sound in water is 1450m/s at 20š C.
• Observe your measurement, it comes out equal to 1425m/s.
• Now, get the difference of measured value and the real value, by subtracting actual value from the measured value by using the above formula already mentioned.
• 1450-1425 = 25m/s
• 25m/s is the required absolute error. To find out the percentage error you need to divide the required difference by the actual value.
• 25/1450 = 0.017
• Now, at last as per the formula you have to multiply the required digit with the 100% to get the percentage error.
• 0.017 Ũ 100 = 1.7 %, which is also known as a relative error.

The error percent measures how many percent the observed value is different from the true value. The smaller is the error value, the more close and accurate the measured value is compared to the actual value. The greater is the error value, the less close or accurate is the measured value is compared to the actual value.

#### EXAMPLE:- What is the error percentage when the real value is 150 and the measured value is 90?

150-90/150 * 100 = 60/150 * 100 = 40%

## HOW TO USE PERCENTAGE ERROR CALCULATOR?

You can use the percent error calculator formula to find out the error with the help of the calculator. The user just has to enter the measured value and the actual value and then click the calculate button. Then, automatically the percent error calculation will be done and hence the value has been shown to you.

## PERCENT DEVIATION CALCULATOR

What does the percent deviation mean?... Percent deviation generally refers to a number that has been calculated to check out the accuracy of during some kind of experiment that is somehow being compared to the theoretically expected results.
Percent deviation is calculated by:

• Subtracting the theoretically expected results from the actual or the real data.
• Then divide it with theoretically expected results.
• And then multiply it by 100.

Now, if we get a negative percent deviation than the measured number is less than the theoretical value. And, if we get the positive percent deviation then the measured number is higher. We can easily find out the percent deviation with the help of the percent deviation calculator.

## SOME TERMS SIMILAR TO PERCENT ERROR ARE:

• Percent or relative
• Margin
• Standard

We provide you a short explanation regarding these similar errors so that you dont get confused and mix up with them.

• STANDARD ERROR = Standard error is the error or the value that is calculated for the set of data. It is a term used in statistics that gives the accuracy in which a small part represents the whole.
• MARGIN OF ERROR = Margin error is generally calculated by multiplying the standard error with the z-score with a certain confidence level.

## DIFFERENCE BETWEEN THE ABSOLUTE AND THE RELATIVE ERROR

Absolute error is also known as the approximation error, the absolute error is generally found out by subtracting the measured value from the actual value. The value thus observed is known as an absolute value. You can use the absolute error calculator and the relative error calculator to find out both the errors.