Enter the measured value and the true value in parts per million (ppm) into the calculator to determine the ppm error. The calculator will evaluate the error in ppm between the measured and true values.

PPM Error Formula

The following formula is used to calculate the PPM error:

PPM Error = ((Measured Value - True Value) / True Value) * 10^6

Variables:

  • Measured Value is the value obtained from the measurement (ppm).
  • True Value is the accurate or accepted reference value (ppm).

To calculate the PPM error, subtract the true value from the measured value, divide the result by the true value, and then multiply by one million (10^6).

What is PPM Error?

PPM error, or parts per million error, is a way of expressing the accuracy of a measurement relative to a true or accepted value. It is a unitless measure often used in fields such as chemistry, physics, and engineering to quantify the precision of measurements and instruments. A lower PPM error indicates a more accurate measurement.

How to Calculate PPM Error?

The following steps outline how to calculate the PPM Error:


  1. First, determine the measured value (ppm).
  2. Next, determine the true value (ppm).
  3. Use the formula PPM Error = ((Measured Value – True Value) / True Value) * 10^6.
  4. Finally, calculate the PPM Error.
  5. After inserting the variables and calculating the result, check your answer with the calculator above.

Example Problem:

Use the following variables as an example problem to test your knowledge.

Measured Value (ppm) = 1005 ppm

True Value (ppm) = 1000 ppm