Use the empirical rule to solve the problem.
-At one college, GPAs are normally distributed with a mean of 2.8 and a standard deviation of 0.6. What percentage of students at the college have a GPA between 2.2 and 3.4?
A)99.74%
B)95.44%
C)68.26%
D)84.13%

Question

Use the empirical rule to solve the problem.
-At one college, GPAs are normally distributed with a mean of 2.8 and a standard deviation of 0.6. What percentage of students at the college have a GPA between 2.2 and 3.4? 
A)99.74%
B)95.44%
C)68.26%
D)84.13%

Quizplus · Accepted Answer

The empirical rule, or 68-95-99.7 rule, states that for a normal distribution, approximately 68% of the data falls within one standard deviation of the mean. Here, 2.2 and 3.4 are one standard deviation below and above the mean (2.8 ± 0.6), respectively. Therefore, about 68% of students have GPAs in this range.

Use the Empirical Rule to Solve the Problem