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Last Updated Sep 27, 2025

Definitions Simplified Revision Notes

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Definitions

1. Accuracy

  • Definition: The degree to which a measurement is close to the true or accepted value.
  • Explanation: Accuracy reflects how well a measured value matches the standard or known value. It considers systematic errors in measurements.
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  • Example: If a set of scales shows 0.980.98 kg for a 11 kg calibration weight, it is fairly accurate but slightly off from the true value.

2. Precision

  • Definition: How close repeated measurements are to each other, regardless of how close they are to the true value.
  • Explanation: Precision indicates consistency among measurements and is mainly affected by random errors. High precision means the measurements are clustered closely together.
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  • Example: Suppose you measure the length of a table three times and get 1.57 m,1.58 m1.57\ m, 1.58\ m, and 1.57 m1.57\ m. These results show high precision, even if the true length is actually 1.60 m1.60\ m.

3. Random Errors

  • Definition: Unpredictable variations that cause measurements to scatter around the true value.
  • Explanation: These errors arise from unpredictable factors, like changes in temperature or electronic noise. They affect precision, but repeated measurements help reduce their impact.
  • How to minimise:
    • Repeat measurements and calculate the average.
    • Use electronic data loggers to reduce human errors.
infoNote
  • Example: In timing a pendulum swing, slight variations in each timing due to reaction time cause random errors. Taking multiple readings and averaging them can reduce this effect.

4. Systematic Errors

  • Definition: Errors that cause measurements to consistently deviate from the true value by the same amount.
  • Explanation: These errors affect accuracy and are often due to faulty equipment or flawed experimental techniques.
  • How to minimise:
    • Calibrate equipment with a known standard before use.
    • Use different methods or equipment to cross-check results.
infoNote
  • Example: If a balance is not properly zeroed, every measurement will be consistently too high or too low by the same amount.

5. Repeatability

  • Definition: The ability of the same experimenter to obtain the same result using the same method and equipment.
  • Explanation: If a measurement can be repeated under the same conditions with consistent results, it is considered repeatable.
infoNote
  • Example: If you measure the mass of a block three times using the same balance and get 50.2 g50.2\ g each time, the measurement is repeatable.

6. Reproducibility

  • Definition: The ability of different experimenters, using different methods or equipment, to obtain the same result.
  • Explanation: Reproducibility indicates that results are consistent across different conditions, which is critical for verifying experimental findings.
infoNote
  • Example: If one experimenter measures the boiling point of water using a thermometer and another uses a data logger, both getting 100°C100°C at sea level, the measurement is reproducible.

7. Resolution

  • Definition: The smallest detectable change in a quantity that an instrument can measure.
  • Explanation: Resolution refers to the instrument's sensitivity to small changes in measurement.
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  • Example: A digital stopwatch with a resolution of 0.010.01 seconds can distinguish time differences as small as 0.010.01 seconds, making it suitable for precise timing experiments.

8. Uncertainty

  • Definition: The range within which the true value is expected to lie, given a certain level of confidence.
  • Explanation: All measurements have some degree of uncertainty due to limitations in equipment or measuring techniques.
infoNote
  • Example: If the temperature is measured as 25.0°C±0.5°C25.0°C ± 0.5°C, it means the true temperature lies between 24.5°C24.5°C and 25.5°C25.5°C.
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