i took the sat and received a score of 488 on the math section. the average score was 445 with a standard deviation of 110. where does my score fit in the sample and what is the z score?

2 answers

Z = (score-mean)/SD

Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportion related to that Z score. Change to percentile.
On a test whose distribution is approximately normal with a mean of 50 and a standard deviation of 10, the results for three students were reported as follows:



Student Opie has a T-score of 60.

Student Paul has a z-score of -1.00.

Student Quincy has a z-score of +2.00.

Obtain the z-score and T-score for EACH student. Who did better on the test? How many standard deviation units is each score from the mean? Compare the results of the three students.