Question

Given a data set with the mean = 38 and the standard deviation = 3, use the empirical rule to determine the percent of the data points that are above 35?

Answer 1

The percent of data points above 35 is less than 1 percent.

Step-by-step explanation:

The empirical rule, also known as the 68-95-99.7 rule, states that for a bell-shaped and symmetric distribution, approximately 68 percent of the data falls within one standard deviation of the mean, approximately 95 percent falls within two standard deviations of the mean, and more than 99 percent falls within three standard deviations of the mean.

In this case, the mean is 38 and the standard deviation is 3. We want to find the percent of data points that are above 35. Since 35 is three standard deviations below the mean (38 - 3(3) = 29), we know that more than 99 percent of the data is below 35. Therefore, the percent of data points that are above 35 is less than 1 percent.