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Author Question: Describe what happens to the mean, the standard deviation, and the shape of a distribution when all ... (Read 156 times)

jman1234

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on: Jun 20, 2018
Describe what happens to the mean, the standard deviation, and the shape of a distribution when all of the scores are transformed into z-scores.
 
  What will be an ideal response?

Question 2

For a distribution of scores, X = 40 corresponds to a z-score of z = 1.00, and X = 42 corresponds to a z-score of z = 0.50 . What are the values for the mean and standard deviation for the distribution? (Hint: sketch a distribution and locate each of the z-score positions.)
 
  What will be an ideal response?


jlaineee

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Reply #1 on: Jun 20, 2018
Answer to Question 1

When an entire distribution is transformed into z-scores, the resulting distribution will have a mean of zero, a standard deviation of one, and the same shape as the original distribution.

Answer to Question 2

 = 44 and  = 4


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jman1234

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Reply #2 on: Jun 20, 2018
Thank you!


jlaineee

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Reply #3 on: Jun 20, 2018
Happy to help


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