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Understanding Accuracy and Precision

Oct 2, 2025

Overview

This lecture covers the difference between accuracy and precision, using dartboard and laboratory measurement examples to illustrate each concept.

Accuracy vs. Precision: Definitions

  • Accuracy is how close a measured value is to the actual (true) value.
  • Precision is how close repeated measured values are to each other, regardless of accuracy.

Dartboard Analogy

  • Low Accuracy, Low Precision: Darts are far from the bullseye and from each other.
  • Low Accuracy, High Precision: Darts are close together but far from the bullseye.
  • High Accuracy, Low Precision: Darts are near the bullseye but spread out.
  • High Accuracy, High Precision: Darts are tightly grouped at the bullseye.

Laboratory Measurement Examples

  • Low Accuracy, Low Precision: All measurements are far from the true value and from each other (e.g., 6.32g, 3.01g, 7.55g, 4.02g for a 5.00g object).
  • Low Accuracy, High Precision: Measurements are tightly grouped but far from the true value (e.g., 8.32g, 8.35g, 8.29g, 8.32g).
  • High Accuracy, Low Precision: Measurements are near the true value but not close to each other (e.g., 5.15g, 4.77g, 5.28g, 5.00g).
  • High Accuracy, High Precision: Measurements are both close to the true value and close to each other (e.g., 5.01g, 4.99g, 5.00g, 5.00g).

Key Terms & Definitions

  • Accuracy — How close a measurement is to the true or accepted value.
  • Precision — How close repeated measurements are to one another.

Action Items / Next Steps

  • Review the dartboard analogy to reinforce the difference between accuracy and precision.
  • Practice identifying accuracy and precision in sample laboratory data.