Resources for Measurement Errors
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Video Tutorials
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Measurement Errors Theory
NSW Y11 Maths - Standard Measurement And Energy Measurement Errors
Videos
Videos relating to Measurement Errors.
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Measurement Errors - Video - Measurement Errors
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Measurement Errors - Video - Measurement Errors Part 1
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Measurement Errors - Video - Measurement Errors Part 2
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Theory
Measurement Errors
|
Limit of Reading |
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