Percent Error Calculator

The Percent Error Calculator is a valuable tool for determining the accuracy of a measurement or estimate. By inputting the actual value and the measured or estimated value, the calculator instantly calculates the percent error.

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The Percent Error Calculator compares an experimental or measured value with an accepted or reference value and expresses the difference as a percentage. It is commonly used in laboratory work, science classes, experiments, and situations where a measured result needs to be compared with a known value.

Percent Error Formula

The standard formula is Percent Error = |Measured Value βˆ’ Accepted Value| Γ· |Accepted Value| Γ— 100. The absolute value makes the result a measure of the size of the error rather than its direction.

How to Use the Calculator

  1. Enter the measured or experimental value.
  2. Enter the accepted or reference value.
  3. Calculate the result.
  4. Read the percentage as the relative difference between the two values.

Worked Example

If a measured value is 9.8 and the accepted value is 10, the absolute difference is 0.2. Dividing 0.2 by 10 and multiplying by 100 gives a percent error of 2%.

Interpreting the Result

A smaller percentage generally means the measured result is closer to the accepted value. Percent error does not by itself explain why a difference occurred. Instrument limitations, experimental conditions, rounding, and measurement technique can all contribute to the result.

Frequently Asked Questions FAQ

What is percent error?

It expresses the size of the difference between a measured value and an accepted value as a percentage of the accepted value.

Can percent error be negative?

The standard absolute-value formula produces a nonnegative percentage.

What value is used as the denominator?

The accepted or reference value is used in the denominator.

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