Question

1. what determines the precision of a calculated result based on measurements?

the skill of the person taking the readings
the precision of the least precise measurement
the accuracy of the measuring instrument
the precision of the most accurate measurement

Explanation:

When performing calculations based on measurements, the precision of the final result is limited by the least precise measurement. This is a fundamental concept in measurement and calculation. For example, if you are adding lengths where one measurement is precise to the nearest centimeter and another to the nearest millimeter, the result's precision will be at the centimeter level (the least precise). The skill of the person taking readings (\(1^{st}\) option) affects accuracy and random errors but not the inherent precision of the result based on measurements. The accuracy of the measuring instrument (\(3^{rd}\) option) is related to how close a measurement is to the true value, not the precision of a calculated result. The precision of the most accurate measurement (\(4^{th}\) option) does not set the limit for the calculated result; it is the least precise measurement that does.

Answer:

the precision of the least precise measurement