Chapter06.pptx

# Chapter06.pptx - The Normal Curve Standardization and z...

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The Normal Curve,  Standardization and  z   Scores Chapter 6

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The Bell Curve is Born (1769)
A Modern Normal Curve

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Development of a Normal Curve:  Sample of 5
Development of a Normal  Curve: Sample of 30

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Development of a Normal Curve:  Sample of 140

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> As the sample size increases, the  shape of the distribution becomes more  like the normal curve. > Can you think of variables that might be  normally distributed? Think about it: Can nominal (categorical)  variables be normally distributed?
Standardization,  z  Scores, and the  Normal Curve > Standardization: allows comparisons z  distribution Comparing  scores ) ( X z

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The  z  Distribution
Transforming Raw Scores to  z   Scores > Step 1: Subtract the mean of the  population from the raw score > Step 2: Divide by the standard deviation  of the population  ) ( X z

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Transforming  z  Scores into Raw  Scores >
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• The Bell, The Bell Curve

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