Math Problem Statement

Consider the following data from groups in Mr. Dalton's class for the mass of an object: Group 1 (12.53 g), Group 2 (12.82 g), Group 3 (11.78 g), Group 4 (11.95 g), Group 5 (12.02 g), Group 6 (12.10 g), Group 7 (11.83 g). Calculate the average mass, determine the uncertainty, and find the percent error for Group 1's measurement based on an accepted mass of 12.15 g. Compare the precision of Mr. Dalton's class with Mr. Rutherford's class, which has an answer of 12.05 ± 0.45 g.

Solution

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Math Problem Analysis

Mathematical Concepts

Averages
Uncertainty Calculation
Percent Error

Formulas

Average = (Sum of values) / (Number of values)
Uncertainty = ±(Maximum value - Minimum value) / 2
Percent Error = |(Accepted value - Measured value) / Accepted value| × 100

Theorems

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Suitable Grade Level

Grades 9-12