5_Standard_Scores_Outline

5_Standard_Scores_Ou - 1 2 3 4 Standard Scores and Normal Distributions You should be able to Describe the normal density curve Describe the

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Standard Scores and Normal Distributions You should be able to . . . • Describe the normal density curve • Describe the standard normal curve –And know its mean and standard deviation • Define and compute z scores • Define probability –Compute simple probabilities • Define random samples –Representativeness Standard Normal Curve • We will first review the normal curve –Normal density curve • We will then discuss a special case of the normal curve –Standard normal curve • We will then discuss the scores that make up the standard normal curve –Standard scores or z scores Normal curve • Symmetrical • Bell-shaped • Unimodal • Mean = Median = Mode • When we plot a smooth curve instead of a histogram, we are plotting a probability density curve When the probability density function is in the shape of a normal curve, it is called a normal density curve To Review Normal curve — this shape: PLUS 1 2 3 4 5 6 7
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It shows probability = Normal Density Curve Normal Density Curve • Describes many naturally occurring phenomena Normal Density Curve • There are many possible normal density curves, each having a different mean and standard deviation Normal Density Curve: Means • Normal curves will have different means if they are centered around different values –e.g., mean IQ vs. mean weight Normal Density Curve: Standard Deviations • Normal curves will have different standard deviations if values in the distribution cluster around the mean differently • As standard deviation increases, the distribution flattens –Low standard deviation “skinnier” distribution –High standard deviation “flatter” distribution Concept Check Which distribution has a higher mean? Which distribution has a higher standard deviation? Normal Curves • There are many possible normal curves –Each with a different mean and standard deviation • Let’s talk now about one special normal curve Standard Normal Curve • Special example of the normal curve • Always has: Standard Normal Curve • The scores that make up the standard normal curve are called 8 9 10 11 12 13 14 15
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This note was uploaded on 08/22/2011 for the course PSY 207 taught by Professor Pfordesher during the Fall '07 term at SUNY Buffalo.

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5_Standard_Scores_Ou - 1 2 3 4 Standard Scores and Normal Distributions You should be able to Describe the normal density curve Describe the

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