a. Z = (score-mean)/SD
Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the Z score that fits that proportion. Insert the three values into the equation above to calculate the score.
b. Go through the same process.
An analysis of the combined SAT scores (Verbal + Math) of a sample of psychology majors at one school indicated that the mean was 939 and the standard deviation was 166. Show your calculations used the answer the following two questions.
a. A special psychology research program only accepts applicants who had an SAT score that placed them in the top 20% of the students. What is the minimum SAT score that would place them in the top 20%?
b. Special tutors are available to assist psychology students who had an SAT score in the bottom 10% of students. What SAT score cuts off the bottom 10% of this group of students?
2 answers
Given a mean of 60, with a standard deviation of 12, and with a raw score of 75, find: (a) the z-score, (b) percentile rank, (c) t-score, (d) SAT score, and (e) stanine score. Discuss why there are so many kinds of standardized scores.