NSW Y11 Maths - Standard Measurement And Energy Measurement Errors

Resources for Measurement Errors

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Measurement Errors Theory

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  • Measurement Errors - Video - Measurement Errors

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Theory

Measurement Errors

Limit of Reading
(or Precision)

Absolute Error

Upper Bound

Lower Bound

Smallest unit on measuring instrument

\[ \pm \dfrac{1}{2} \times \text{precision}\]

Measurement \(+\) Absolute error Measurement \(-\) Absolute error

 

Relative Error

Percentage Error

\[\pm ( \dfrac{\text{absolute error}}{\text{measurement}} )\]

\[\pm ( \dfrac{\text{absolute error}}{\text{measurement}}) \times 100\]

 

When the error is known

Sometimes you get questions where they tell you the error you have made. When this happens, you use the same equations given at the beginning of this chapter except with the following changes:

  • Absolute error \(=\) measured value \(–\) actual value
  • There are no upper or lower bounds needed for these questions since you already know the error