IQ-scores are standard-score transformed scores having a mean of 100 and a stand

Question

IQ-scores are standard-score transformed scores having a mean of 100 and a standard deviation of 15; SAT scores are standard-score transformed scores having a mean of 500 and a standard deviation of 100. In what follows, X refers to a raw score from a distribution with a mean of M and a standard deviation of S, and SAT and IQ refer to the corresponding transform of that score. Solve for the missing value in each of the following: (a) X = -3.0; M = -2; S = ; IQ = 70 (b) X = 10; M = ; S = 2; SAT = 750 (c) X = ; M = 10; S = 8; IQ = 85

Explanation / Answer

ANS A) z=X-M/SD 500=-3+2/S(100) S=-.00002 B)500=10-M/2(100) M=-99990 C)500=X-10/8(100) X=400010

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