Question

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.
%

Answer 1

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