The mean credit score is 645 out of 310 used car loan applicants with a standard deviation of 17. Assuming a bell-shaped curve, what is the number of loan applicants that fall within a score of 611 and 679?
A) 68
B) 211
C) 295
D) 310

Question

Quizplus · Accepted Answer

Using the empirical rule (68-95-99.7 rule) for a bell-shaped distribution, approximately 95% of the data falls within two standard deviations of the mean. The range of 611 to 679 is two standard deviations away from the mean (645 ± 2*17 = 611 to 679). Therefore, 95% of 310 applicants, which is 0.95 * 310 = 294.5, approximately 295 applicants, fall within this range.

The Mean Credit Score Is 645 Out of 310 Used