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Analysing and Evaluating Practical Results

Precision, accuracy and uncertainty

  • 3 things to know
  • Components 01, 02 and 03

Overview

Recall questions on accuracy and precision, the uncertainty of measuring instruments, calculating percentage error for thermometers, measuring cylinders and burettes, why larger measurements carry smaller percentage errors, and random and systematic errors such as zero errors.

What you need to know

Answer each one before you reveal it.

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Key term

How do accuracy and precision differ, how is percentage error found, and what distinguishes a random from a systematic error?

Key term

Distinguish between the accuracy and the precision of a measurement.

Key term

State the uncertainty of a thermometer graduated in 1 °C intervals.

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    Distinguish between the accuracy and the precision of a measurement.

    Model answer

    An accurate measurement is close to the true value, while precise measurements are close to one another when the reading is repeated.

  2. 2

    Can a set of readings be precise but not accurate? Explain your answer.

    Model answer

    Yes, because a systematic error such as an uncalibrated balance shifts every reading by the same amount, so the readings agree closely with each other but all differ from the true value.

  3. 3

    What is meant by the uncertainty of a measuring instrument?

    Model answer

    It is the interval within which the true value is expected to lie, usually taken as half the smallest scale division.

  4. 4

    State the uncertainty of a thermometer graduated in 1 °C intervals.

    Model answer

    The uncertainty is ±0.5 °C.

  5. 5

    How is the percentage error in a single measurement calculated?

    Model answer

    The uncertainty is divided by the measured value and multiplied by 100.

  6. 6

    Calculate the percentage error in a temperature of 25.0 °C measured with a thermometer of uncertainty ±0.5 °C.

    Model answer

    The percentage error is 2.0%.

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