A digital scale reports a 10 kg weight as weighing 8.975 kg. Which of the following is true?

The scale is precise but not accurate
The scale is neither precise or accurate
The scale is both precise and accurate
The scale is accurate but not precise

1 answer

To determine the characteristics of the digital scale, we need to understand the concepts of precision and accuracy:

  • Accuracy refers to how close a measured value is to the true value (in this case, the true weight of 10 kg).
  • Precision refers to how consistent and repeatable the measurements are, regardless of whether they are close to the true value.

In this scenario, the scale reports a weight of 8.975 kg when the true weight is 10 kg, which means the scale is not accurate since it does not reflect the true weight correctly.

Without information on the consistency of the scale’s readings (e.g., whether it consistently reports weights reliably in similar measurements), we cannot definitively conclude about its precision. However, given that it consistently shows a similar disparity from the true weight, we can assume it's at least somewhat precise in its consistent measurements, but we lack specific measurements to confirm.

Given the information provided, we can conclude that the scale is precise but not accurate, assuming it regularly provides similar measurements consistently relative to the true weight, even though those measurements are consistently off.

So, the correct statement is:

The scale is precise but not accurate.