**Driving Exam Score Analysis Using Chebychev's Theorem**The mean score on a driving exam for a group of driver's education students is 68 points, with a standard deviation of 5 points. Apply Chebychev's Theorem to the data using $ k = 2 $. Interpret the results.**Chebychev's Theorem Application:**1. **Mean ($ \mu $)**: 68 points2. **Standard Deviation ($ \sigma $)**: 5 points3. **$ k $ Value**: 2**Interpretation:**Chebychev's Theorem states that for any number $ k $ greater than 1, at least $ \left(1 - \frac{1}{k^2}\right) \times 100\% $ of the data values fall within $ k $ standard deviations of the mean.Calculations for $ k = 2 $:- Percentage: $ \left(1 - \frac{1}{2^2}\right) \times 100\% = 75\% $Range:- Lower limit: $ \mu - k \sigma = 68 - 2(5) = 58 $- Upper limit: $ \mu + k \sigma = 68 + 2(5) = 78 $**Conclusion:**At least 75% of the exam scores fall between 58 and 78. (Simplify your answers)

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MATLAB: An Introduction with Applications

6th Edition

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Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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The mean score on a driving exam for a group of driver's education students is 68 points, with a standard deviation of 5 points. Apply Chebychev's Theorem to the data using k = 2. Interpret the results. At least % of the exam scores fall between (Simplify your answers.) and