Question

a digital scale reports a 10 kg weight as weighing 9.998 kg. which of the following is true?
a. the scale is accurate but not precise.
b. the scale is both accurate and precise.
c. the scale is precise but not accurate.
d. the scale is neither precise nor accurate.

Explanation:

To determine the scale's accuracy and precision:

• Accuracy: How close the measured value is to the true value. The true weight is 10 kg, and the measured value is 9.998 kg, which is very close to 10 kg, so the scale is accurate.
• Precision: How consistent (repeatable) measurements are. While the problem does not explicitly state multiple measurements, a digital scale that reports to the thousandth of a kg (9.998) implies consistent, fine-grained readings (precision). Since the scale is accurate (close to true value) and likely precise (consistent in reporting), option B is correct.

Answer:

B. The scale is both accurate and precise.