Question

If male and female college students have the same mean GPA but the standard deviation for females is much larger, you may conclude that

A. males are smarter than females

B. modal GPAs for both groups would be the same

C. median GPAs for both groups would be the same

D. there is more variability among female students with respect to GPA

Answer 1

D. there is more variability among female students with respect to GPA

Explanation:

The standard deviation is a measure of how spread out from the mean the values within a set are. If the standard deviation for females is much higher, that means that the variability in GPAs for female students is higher than that of male students.

Therefore, it is fair to conclude that there is more variability among female students with respect to GPA.