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use the data set to answer the question. correct value: 27 data set: 19…

Question

use the data set to answer the question.
correct value: 27
data set: 19, 31, 22, 28, 24
which best describes the data set?
o it is accurate but not precise.
o it is precise but not accurate.
o it is accurate and precise.
o it is neither accurate nor precise.

Explanation:

Brief Explanations

Accuracy refers to how close a measurement is to the true value. Precision refers to how close multiple measurements are to each other.
The correct value is 27.
For accuracy:

  • \(|19 - 27|=8\)
  • \(|31 - 27| = 4\)
  • \(|22-27|=5\)
  • \(|28 - 27|=1\)
  • \(|24-27| = 3\)

The values are not very close to 27 (for example, 19 and 31 are far from 27).
For precision:
The values \(19,31,22,28,24\) are spread out. There is no consistency among the measurements (e.g., 19 and 31 have a difference of \(31 - 19=12\)).

Answer:

It is neither accurate nor precise.