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Z score, percentile rank, t score, SAT score, Stanine score

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.