Final answer:
The z-score calculation requires the mean and standard deviation, which are not provided for the LSAT score. For demonstration, an SAT example was used. Without LSAT data, we cannot calculate the z-score for a 157 LSAT score.
Step-by-step explanation:
To calculate the z-score for an LSAT score of 157, you would need the mean and the standard deviation of LSAT scores which are not provided in the question. However, using the sample data provided for SAT scores, we can demonstrate how to compute a z-score:
For example, for an SAT math score of 720 with a mean of 520 and a standard deviation of 115:
z = (720 - 520) / 115 ≈ 1.739
This tells us that a score of 720 is approximately 1.739 standard deviations above the mean. Without the actual mean and standard deviation for LSAT scores, we cannot calculate the z-score for a score of 157 LSAT.