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Three students measured the mass of a product of combustion. They recorded measurements of 5.14 g, 5.16 g, and 5.17 g. If the known mass of the product is 5.30 g, how would you describe the students’ measurements?

  1. A
    Accurate
  2. B
    Precise
  3. C
    Both accurate and precise
  4. D
    Neither accurate nor precise

Topic Flashcards

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Question

Measurements of 5.14 g, 5.16 g, and 5.17 g are all consistently lower than a known value of 5.30 g. Are these measurements best described as accurate, precise, or both?

Answer

Precise, but not accurate. They are close to each other (precise) but not close to the true value (not accurate).

Question

What is the term for the quality of measurements when they are tightly clustered together, like 5.14, 5.16, and 5.17, regardless of their distance from a known value?

Answer

Precision. Precision describes the repeatability or consistency of measurements with each other.

Question

True value: 5.30 g. Measured values: 5.14 g, 5.16 g, 5.17 g. What type of error (random or systematic) does this consistent under-measurement most likely indicate?

Answer

Systematic error. A consistent bias, like an uncalibrated scale, shifts all results away from the true value in the same way.

Question

If three measurements are 5.14 g, 5.16 g, and 5.17 g, their average is about 5.16 g. If the true value is 5.30 g, does taking this average fix the problem of inaccuracy?

Answer

No. Averaging precise but biased data gives you a more reliable estimate of the wrong value. It confirms the inaccuracy.

Question

A set of measurements is precise but not accurate. To correct this, should you focus on improving your technique or checking your instrument's calibration?

Answer

Check the instrument's calibration. Poor technique typically causes scatter (low precision). A consistent offset suggests a systematic error in the tool.

Mini Quiz

1 / 3
A digital scale displays 5.14 g, 5.16 g, and 5.17 g for three weighings of the same object. Can you conclusively say this scale is perfectly accurate?
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