Question

Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.55 and a standard devation of 0.39. Using the empincal rule, what percentage of the students have grade point arerages that are less than 3.722 Please do not round your answer.

Answer 1

Approximately 95% of the students have grade point averages that are less than 3.722.Therefore, the percentage of students with grade point averages less than 3.722 is approximately 95%.

Step-by-step explanation:

In order to determine the percentage of students who have grade point averages that are less than 3.722, we can use the Empirical Rule.

According to the Empirical Rule, approximately 95% of the data falls within two standard deviations of the mean in a bell-shaped distribution.

Since the mean is 2.55 and the standard deviation is 0.39, we can calculate the upper limit as follows:

Upper limit = mean + (2 * standard deviation) = 2.55 + (2 * 0.39) = 3.33

Therefore, the percentage of students with grade point averages less than 3.722 is approximately 95%.