Question

Suppose that 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 less than 1.76? Please do not round your answer.

Answer 1

Solution:

Given that,

mean = 2.52

standard deviation = 0.38

Using the empirical rule,

P(x < 1.76) = 0.025 = 2.5%