Accuracy and Precision in Measurement
This worksheet explores the concepts of accuracy and precision in scientific measurements, including their definitions, differences, and practical applications.
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Accuracy and Precision in Measurement
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Read each question carefully and provide thoughtful, accurate responses. Show all your work for calculations.
In scientific experimentation, understanding the difference between accuracy and precision is crucial for evaluating the quality of data. Accuracy refers to how close a measured value is to the true or accepted value, while precision refers to how close multiple measurements are to each other.
1. Which of the following scenarios best describes a situation with high accuracy but low precision?
A darts player hits the bullseye once, but all other darts land randomly on the board.
A scientist measures the mass of an object five times, getting results of 10.1g, 10.2g, 10.1g, 10.3g, and 10.2g, when the true mass is 15.0g.
A student consistently measures the boiling point of water at 98.5°C, while the accepted value is 100.0°C.
A thermometer reads 25.0°C every time it's used, but the actual temperature varies between 23.0°C and 27.0°C.
2. When calibrating a scientific instrument, what is the primary goal?
To increase the precision of measurements.
To improve the accuracy of measurements.
To reduce random errors.
To ensure systematic errors are consistent.
3. A measuring device that consistently gives readings that are slightly higher than the actual value is exhibiting a error.
4. The number of significant figures in a measurement is an indicator of its .
5. Explain how it is possible for a set of measurements to be precise but not accurate. Provide a real-world example.
6. Improving the precision of a measurement automatically improves its accuracy.
True
False
7. A student performs an experiment to determine the density of an unknown liquid. They take five measurements:
Measurement 1: 0.98 g/mL Measurement 2: 0.97 g/mL Measurement 3: 0.99 g/mL Measurement 4: 0.98 g/mL Measurement 5: 0.97 g/mL
The accepted density of the liquid is 1.05 g/mL.
Based on these results and the image above (representing a similar concept), describe the accuracy and precision of the student's measurements. Propose at least two possible reasons for the observed results.