The average starting salary for graduates at a university is $33,000 with a standard deviation of $2,000.If a histogram of the data shows that it takes on a mound shape, the empirical rule says that approximately 95% of the graduates would have a starting salary between _______.
A)29,000 and 37,000
B)27,000 and 39,000
C)25,000 and 41,000
D)31,000 and 35,000
E)21,000 and 39,000

Question

Quizplus · Accepted Answer

The empirical rule, or 68-95-99.7 rule, states that for a normal distribution, approximately 95% of the data falls within two standard deviations of the mean. Therefore, 95% of the starting salaries would be between $33,000 - 2($2,000) = $29,000 and $33,000 + 2($2,000) = $37,000.

The Average Starting Salary for Graduates at a University Is