Answer:
The range of GPA of 95% students is from 1.9 to 3.18.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 3.04
Standard deviation = 0.57
Assuming that students' GAPs are normally distributed, what is the range of GPA of 95% students
Within 2 standard deviations of the mean
3.04 - 2*0.57 = 1.9
3.04 + 2*0.57 = 3.18
The range of GPA of 95% students is from 1.9 to 3.18.
