HSC Mathematics Standard 2 Practice Exam

Absolute error is a measure of the difference between the measured value and the true value or an accepted/reference value. In the context of measurements, it is often represented as the limit of reading or the precision of the measurement tool used.

The concept of "half of the limit of reading" is significant because the limit of reading reflects the maximum uncertainty or error that can be attributed to a measurement. By taking half of this limit, you are effectively determining the possible deviation from the actual measurement in either direction. This is particularly useful in determining how precise a measurement truly is, as it encapsulates the range of expected errors based on the instrument's specification.

This understanding of absolute error highlights its practical application in ensuring that measurements reflect a reliable approximation of the true value despite inherent uncertainties. By recognizing half the limit of reading as the basis for absolute error, one can effectively assess the reliability and accuracy of any measured data.