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Using Chebyshev's Theorem, the minimum percentage of commuters in has a commute time within 2 standard deviations of the mean is of 75%.
What does Chebyshev’s Theorem state?
When we have no information about the population distribution, Chebyshev's Theorem is used. It states that:
- At least 75% of the measures are within 2 standard deviations of the mean.
- At least 89% of the measures are within 3 standard deviations of the mean.
- An in general terms, the percentage of measures within k standard deviations of the mean is given by [tex]100(1 - \frac{1}{k^{2}})[/tex].
Hence, the minimum percentage of commuters in has a commute time within 2 standard deviations of the mean is of 75%.
More can be learned about Chebyshev's Theorem at https://brainly.com/question/23612895
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