Scores on the LSAT are approximately normally distributed. In fact, published reports indicate that approximately 40 percent of all test takers score at or between 145 and 155, and about 70 percent score at or between 140 and 160. The full range of scores is 60 pts. (120–180). Use your knowledge of normal distributions to estimate the mean, median, and the standard deviation of the LSAT.

Imagine that this student decides, in 2008, to apply to law school. She is considering University of Michigan Law School, which reports that the median LSAT score for the 2006 entering class is 168, and that the 25th and 75th percentiles for the class are 166 and 170, respectively.

Admission isn't based on LSAT score alone, of course, but assuming her score correlated with her grades, essays, and other admission data, do you think this student has a good chance?

To answer this question, you must first convert the 1988 LSAT score to match the current scale, using your knowledge of the normal curve and your answer to Question 1 of this exercise, and then compare it to those of the students entering UM Law School in 2006.