Calculate an error rate

Author: Charles Brown
Date Of Creation: 7 February 2021
Update Date: 1 July 2024
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Percent Error Made Easy!
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Content

You can compare the calculation of an error percentage with the estimate of an exact value. The error percentage is the difference between the estimated values ​​and exact values ​​as a percentage of the exact value, and you can use this to work out how close your estimate is to the actual value. If you want to be able to calculate the error rate of an estimate, all you need is the estimated value and the exact value and you can get started.

To step

  1. Learn the formula for calculating the error rate. The formula for calculating the error rate is as follows: "[(| Exact Value-Estimated Value |) / Exact Value] x 100
    • The estimated value is an approximation and the exact value is the actual value. Once you have found the absolute value of the difference between the estimated value and the exact value, all you have to do is divide it by the exact value and multiply the result by 100.
  2. Subtract the real value from your own value. This means that you must subtract the actual value from the estimated value. In this case, the actual value is 10 and the estimated value is 9.
    • E.g .: 10 - 9 = 1
  3. Divide the result by the actual number. Divide -1 (the result of 9 - 10) by 10 (the actual value). Place the fraction in decimal form.
    • For example: -1/10 = -0.1
  4. Determines the absolute value of the result. The absolute value of a number is the positive value of the number, be it positive or negative. The absolute value of a positive number is the number itself, and the absolute value of a negative number is simply the value of that number, without the minus sign (so the negative number becomes positive).
    • For example: | -0.1 | = 0.1
  5. Multiply the result with 100. So just 0.1 (the result) x 100. This will show the answer as a percentage. Place a percentage symbol after the answer and you're done.
    • E.g .: 0.1 x 100 = 10%

Tips

  • Some teachers would like you to round the error rate to a certain point; most will be satisfied with an error rate rounded to three significant digits.