Given that on one section of the SAT the mean is 500 and the standard deviation is 100,what is the approximate probability of a student scoring 300 or higher on the test?
A) .98
B).02
C).12
D).75

Question

Given that on one section of the SAT the mean is 500 and the standard deviation is 100,what is the approximate probability of a student scoring 300 or higher on the test? 
A) .98
B).02
C).12
D).75

Quizplus · Accepted Answer

The score of 300 is 2 standard deviations below the mean (500 - 2*100 = 300). Using the empirical rule, approximately 95% of data falls within 2 standard deviations of the mean, so about 2.5% is below 300. Therefore, the probability of scoring 300 or higher is approximately 1 - 0.025 = 0.975, which is closest to 0.98.

Given That on One Section of the SAT the Mean