The final exam grade distribution for all students in the introductory statistics class at a local community college is displayed in the table, with A = 4, B = 3, C = 2, D = 1, and F = 0. Let X represent the grade for a randomly selected student from the class. A 2-column table with 5 rows. Column 1 is labeled grade with entries 4, 3, 2, 1, 0. Column 2 is labeled probability with entries 0.4, 0.32, 0.17, 0.08, 0.03.

Which statement correctly interprets the standard deviation?

The grade for a randomly selected student would typically vary from the expected grade by 1.16.
The grade for a randomly selected student would typically vary from the expected grade by 1.08.
The mean grade for a randomly selected student would typically vary by 1.16 from the expected grade.
The mean grade for a randomly selected student would typically vary by 1.08 from the expected grade.