Question

Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.54 and a standard deviation of 0.44. Using the empirical rule, what percentage of the students have grade point averages that are at least 2.1? Please do not round your answer

Answer 1

Solution:

Given that,

mean = = 2.54

standard deviation = = 0.44

Using Empirical rule,

P( At least 2.1 ) = P( At least - )

=34% + 34% + 13.5% + 2.35% + 0.15%

= 84%

84% of the students have grade point averages that are at least 2.1.