Absolute Error :
Absolute error is a measure of the difference between a measured value and the true value of a quantity. It is the magnitude of the difference between the measured and actual values, without considering the direction of the error. For example, if a measurement of a person’s height is 5 feet 6 inches, but the actual height is 5 feet 8 inches, the absolute error would be 2 inches.
Absolute error is commonly used in scientific and engineering fields to evaluate the precision and accuracy of measurements. In these fields, it is important to have a clear understanding of the magnitude of the error in order to make informed decisions about the reliability of the measurements and the results of calculations based on those measurements.
One example of the use of absolute error is in the calibration of scientific instruments. In order to ensure that an instrument is providing accurate measurements, it is necessary to compare the measurements made by the instrument with a known standard. For example, a thermometer may be calibrated by comparing its readings with the temperature readings of a reference thermometer that is known to be accurate. The absolute error in the measurements made by the instrument being calibrated can then be calculated by taking the difference between the instrument’s readings and the reference thermometer’s readings.
Another example of the use of absolute error is in the evaluation of the results of a chemical reaction. In order to determine the efficiency of a reaction, it is necessary to compare the amounts of reactants and products measured before and after the reaction. The absolute error in the measurements can be calculated by taking the difference between the measured and expected values of the reactants and products.
In general, the smaller the absolute error, the more accurate the measurement or calculation is considered to be. However, it is important to note that absolute error does not provide information about the direction of the error, only its magnitude. For this reason, it is often used in combination with other measures of error, such as relative error, to provide a more complete picture of the accuracy and precision of a measurement or calculation.