QUESTION IMAGE
Question
3.1 using and expressing measurements
- three students made multiple weighings of a copper cylinder, each using a different balance. describe the accuracy and precision of each student’s measurements if the correct mass of the cylinder is 47.32 g.
mass of cylinder (g)
| colin | lamont | kivrin | |
|---|---|---|---|
| weighing 2 | 47.94 | 47.39 | 47.91 |
| weighing 3 | 46.83 | 47.42 | 47.89 |
| weighing 4 | 47.47 | 47.41 | 47.93 |
Step1: Define accuracy and precision
Accuracy is closeness to true value. Precision is closeness of measurements to each other.
Step2: Analyze Colin's measurements
Colin's values vary widely: 47.13, 47.94, 46.83, 47.47. They are not close to 47.32 (low - accuracy) and not close to each other (low - precision).
Step3: Analyze Lamont's measurements
Lamont's values: 47.45, 47.39, 47.42, 47.41. They are relatively close to 47.32 (moderate - accuracy) and close to each other (high - precision).
Step4: Analyze Kivrin's measurements
Kivrin's values: 47.95, 47.91, 47.89, 47.93. They are far from 47.32 (low - accuracy) but close to each other (high - precision).
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Colin: Low accuracy, low precision.
Lamont: Moderate accuracy, high precision.
Kivrin: Low accuracy, high precision.