Question

The distribution of college GPA’s for a college in South Dakota is negatively skewed. Does the Empirical rule apply to determine the percentage of students with GPA’s between one standard deviation above the mean and one standard deviation below the mean? If not, why? If so, what percentage of students have GPA’s in this range?

This is all the information i have.

Answer 1

Solution:

Given: The distribution of college GPA’s for a college in South Dakota is negatively skewed.

Empirical rule is applied when distribution is Bell-shaped or symmetric or Normally distributed. That means 50% of data below mean and 50% data is above.

Since given distribution of college GPA’s for a college in South Dakota is negatively skewed, we can not use Empirical rule to determine the percentage of students with GPA’s between one standard deviation above the mean and one standard deviation below the mean.