Math Problem Statement
in an outdoor experiment, mich is testing his football robot kicking a ball and hitting the goal.She obtained 4 trials measuring the velocity of the ball. The measurement are summarized below. Trial 1: 4.71 m/s2 Trial 2: 5.08 m/s2 Trial 3: 5.21 m/s2 Trial 4: 4.81 m/s2
What is the percentage of precision of the robot?
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Solution
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Math Problem Analysis
Mathematical Concepts
Statistics
Measurement Precision
Standard Deviation
Mean
Formulas
Mean: \bar{x} = \frac{\sum_{i=1}^{n} x_i}{n}
Standard Deviation: \sigma = \sqrt{\frac{\sum_{i=1}^{n} (x_i - \bar{x})^2}{n-1}}
Percentage Precision: \text{Percentage Precision} = \left(1 - \frac{\sigma}{\bar{x}}\right) \times 100\%
Theorems
None specific
Suitable Grade Level
Grades 9-12
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