Answer :
Final answer:
The precision of the measurements 10.2, 11.9, 8.3, 9.6, and 100.2 mm is 0.1 mm, as each value is expressed to the nearest tenth of a millimeter.
Explanation:
The precision of measurement is based on the smallest unit to which the measurement is reproducible. When looking at the data points 10.2, 11.9, 8.3, 9.6, and 100.2 millimeters, we notice that each of these values is expressed to the nearest tenth of a millimeter. This indicates that the measuring instrument used could measure the object to the nearest tenth (0.1 mm) of a millimeter, as each measurement has one decimal place.
The degree of precision of a measuring instrument is related to the smallest division marked on the instrument. If the measuring instrument had marks for every millimeter, then the precision would be to the nearest millimeter. However, if it had marks at every tenth of a millimeter, as seems to be the case with these measurements, then the precision is 0.1 mm, which is option (a).