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Question 397:



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With a mean of 100, Sd of 20, you setup an equation and solve for the raw score. We know a z-score is (x-mean)/sd = z-score. So filling in what we know:

  1. (x-100)/20 = -5
  2. x-100 = -100
  3. x = 0

So getting a raw score of 0 will get you a z-score of 5. Keep in mind that z-scores are just standardized units of the normal distribution, measuring in standard deviations. So a z-score of -5 indicates the raw score is 5 standard deviations below the mean. Since the standard deviation is 20, five of these below the mean is just 5*20 = 100 and subtract that from the mean of 100, which still gets you 0.

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