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The mean of a sample of 10 scores is 100, and the standard deviation is 5. For the following raw scores, compute the z score:

(a)

101

(b)

112

(c)

97


For the following z scores, work backward to compute the corresponding raw score: (a) -0.5

(b) 1.1

(c) 2.12

Why would you want to work with z scores rather than raw scores? What is the primary purpose of standard scores?

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