Statistics and Probability

Question

Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.57

2.57 and a standard deviation of 0.43

0.43. Using the empirical rule, what percentage of the students have grade point averages that are at least 1.71

1.71? Please do not round your answer.

Answer 1

1.71 is 2 standard deviations below 2.57 (2.57-1.71 = 0.86 = 2*0.43). Per the empirical rule 97.5% of the data is at least 1.71.