Chebyshev's Inequality Quiz
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Questions and Answers

Chebyshev's inequality states that for any given dataset, the proportion of data points that lie within a certain number of standard deviations from the mean is at least what fraction of the total data points?

  • 3/4
  • 1/2
  • 2/3 (correct)
  • 1/3
  • Chebyshev's inequality is applicable to which type of probability distribution?

  • Binomial distribution
  • Normal distribution (correct)
  • Exponential distribution
  • Poisson distribution
  • Chebyshev's inequality provides a lower bound on the proportion of data points that lie within a certain number of standard deviations from the mean.

  • True (correct)
  • False
  • Which of the following statements about Chebyshev's inequality is true?

    <p>Chebyshev's inequality provides an upper bound on the proportion of data points that lie within a certain number of standard deviations from the mean.</p> Signup and view all the answers

    What is the main purpose of Chebyshev's inequality?

    <p>To determine the proportion of data points within a certain number of standard deviations from the mean.</p> Signup and view all the answers

    Which type of probability distribution is Chebyshev's inequality applicable to?

    <p>Normal distribution</p> Signup and view all the answers

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