Answered

Westonci.ca is the Q&A platform that connects you with experts who provide accurate and detailed answers. Explore a wealth of knowledge from professionals across various disciplines on our comprehensive Q&A platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

Let x and s present the sample mean and sample standard deviation, respectively. Is it possible that around 70% of data lie within x-2s and x+2s? (Yes or no)

Sagot :

Using the Chebyshev's Theorem and the Empirical Rule, it is found that it is not possible that around 70% of data lie within x-2s and x+2s.

-------------------------

  • Distributions are classified as symmetric or not symmetric.
  • If the distribution is not symmetric, Chebyshev's Theorem is used, which states that at least 75% of the measures are within 2 standard deviations of the mean.
  • If the distribution is symmetric, the Empirical Rule is used, which states that around 95% of the measures are within 2 standard deviations of the mean.

Thus, from the above bullet points, at least 75% of the measures are within x-2s and x+2s, which means that the percentage of 70% is too small.

A similar problem is given at https://brainly.com/question/23612895

We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.