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3.1 using and expressing measurements 56. three students made multiple …

Question

3.1 using and expressing measurements

  1. 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)

colinlamontkivrin
weighing 247.9447.3947.91
weighing 346.8347.4247.89
weighing 447.4747.4147.93

Explanation:

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).

Answer:

Colin: Low accuracy, low precision.
Lamont: Moderate accuracy, high precision.
Kivrin: Low accuracy, high precision.