Final answer:
The accuracy and uncertainty of a measurement are related but not directly proportional. An increase in precision decreases the uncertainty, while accuracy is related to the discrepancy from the accepted value.
Step-by-step explanation:
The relationship between the accuracy and uncertainty of a measurement can be described as follows:
An increase in the precision of a measurement decreases the uncertainty of the measurement, while a decrease in precision increases the uncertainty. This means that when a measuring device provides more precise measurements, the uncertainty in those measurements decreases.
On the other hand, the accuracy of a measurement is related to the discrepancy from the accepted reference value. If a measurement is not very accurate, meaning it is far from the accepted value, the discrepancy is high. However, the accuracy of a measurement does not directly impact the uncertainty. It is possible to have a highly accurate measurement with a low uncertainty.