Answer to Question #15219 in Statistics and Probability for heather

Question

The mean math score on the SAT in 2010 was M=516. A student obtains a score of X=483. The college admissions office looks at how you perform relative to the class overall. Would it be better for the student if the standard deviation of the math scores was s=15 or s=75? Explain. (Hint: explain mathematically using z-scores.)