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Are standardized scores and z-scores the same thing? Yes No Consider the followi

ID: 3173198 • Letter: A

Question

Are standardized scores and z-scores the same thing? Yes No Consider the following distribution of scores with mean 90 and standard deviation 30. Fill in the boxes beneath the line labeled "z" with the z-scores corresponding to each position in the distribution. Suppose you also want to standardize these scores to a "k" scale where the mean of k is 100 and the standard deviation is 15. Fill in the boxes beneath the line labeled "k" with the k-scores corresponding to each position in the distribution.

Explanation / Answer

k score at z=-2: mean +z*std deviation =100+(-2)*15=70

k score at z=-1: mean +z*std deviation =100+(-1)*15=85

k score at z=0: mean +z*std deviation =100+(0)*15=100

k score at z=1: mean +z*std deviation =100+(1)*15=115

k score at z=2: mean +z*std deviation =100+(2)*15=130

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