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. (A)</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. (B)</p> Signup and view all the answers

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

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

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