A student measured the length of a piece of twine that was 35.84 mm long. Her measurements were 37.52 mm, 37.54 mm, 37.57 mm and 37.55 mm. Which of the following statements is true?
A. The measurements were accurate but not precise.
B. The measurements were precise but not accurate.
C. The measurements were both precise and accurate.
D. The measurements were neither accurate nor precise.
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i think a
Accuracy is obtaining results very close to the actual answer while precision is obtaining results that are close to each other not close to the answer.
This is how I would approach this problem.
Take the average of 37.52 mm, 37.54 mm, 37.57 mm and 37.55 mm.
average = 37.545
Compare this average to the actual answer.
Actual answer = 35.84 mm
The average is off of the actual answer by 1.705 mm.
However, the average is off the 37.52 mm, 37.54 mm, 37.57 mm and 37.55 mm values by a mere 0.025 mm (compare that to the 1.705 mm).
Therefore, these measurements are precise but not accurate.