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Making Measurements and Analysing Data

Precision, accuracy and uncertainties

  • 3 things to know
  • All three papers

Overview

Recall questions on absolute and percentage uncertainty, combining uncertainties, and error bars on a graph.

What you need to know

Answer each one before you reveal it.

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Evaluation

How is percentage uncertainty calculated from absolute uncertainty, and how are percentage uncertainties combined when quantities are multiplied or divided, or when a quantity is raised to a power n?

Evaluation

Define a worst line on a graph, and state how it is used to find the uncertainty in the gradient.

Evaluation

In what units are absolute and percentage uncertainties expressed, and how are uncertainties combined when quantities are added or subtracted?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    What does accuracy mean when describing a measurement?

    Model answer

    Accuracy refers to how close a measurement is to the true value.

  2. 2

    A student measures a length five times and obtains values that are very close together but all significantly larger than the true length. Comment on the precision and accuracy of these measurements.

    Model answer

    The measurements are precise (they cluster closely together) but not accurate (they are all shifted from the true value).

  3. 3

    When two quantities are added or subtracted, how are their uncertainties combined?

    Model answer

    When quantities are added or subtracted, their absolute uncertainties are added together.

  4. 4

    When two quantities are multiplied or divided, how are their uncertainties combined?

    Model answer

    When quantities are multiplied or divided, their percentage uncertainties are added together.

  5. 5

    If a quantity is raised to a power n, how is the percentage uncertainty affected?

    Model answer

    The percentage uncertainty is multiplied by n.

  6. 6

    State the formula for calculating percentage uncertainty from absolute uncertainty.

    Model answer

    Percentage uncertainty = (absolute uncertainty ÷ measured value) × 100%.

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Practical Skills in the Written Papers
The Practical Endorsement
Physical Quantities and Units
Making Measurements and Analysing Data

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A wave.
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AForce is a vector quantity.
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Density means mass per unit volume.
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