High School

We appreciate your visit to Use the information to answer the question A data set is normally distributed The mean of the data is 9 2 and the standard deviation. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

Use the information to answer the question.

A data set is normally distributed. The mean of the data is 9.2, and the standard deviation is 1.8.

Using the 68-95-99.7 rule, what percentage of the data points are greater than 11? Enter the answer in the box.

%

Use the information to answer the question A data set is normally distributed The mean of the data is 9 2 and the standard deviation

Answer :

Using the Empirical Rule, it is found that 16% of the data points are greater than 11.

What does the Empirical Rule state?

It states that, for a normally distributed random variable:

  • Approximately 68% of the measures are within 1 standard deviation of the mean.
  • Approximately 95% of the measures are within 2 standard deviations of the mean.
  • Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, the mean is of 9.8 and the standard deviation is of 1.8.

11 is one standard deviation above the mean. Considering the symmetry of the normal distribution, 32%(more than one standard deviation above the mean)/2 = 16% of the data points are greater than 11.

More can be learned about the Empirical Rule at https://brainly.com/question/24537145

#SPJ1

Thanks for taking the time to read Use the information to answer the question A data set is normally distributed The mean of the data is 9 2 and the standard deviation. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada