Question is in description

Question

Suppose the grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.52 and a standard deviation of 0.38. Using the empirical rule, what percentage of the students have grade point averages that are at least 2.14? Please do not round your answer.

Answer 1

2.14 = 2.52 - 0.38, so 2.14 is 1 standard deviation below the mean.

For a bell-shaped distribution 50% of the data is above the mean.

From empirical rule 34% of the data is between 1 standard deviation below the mean and the mean.

Therefore, 50 + 34 = 84% of the data is above 2.14.