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5_Lecture5.1_zScores_0211r_Spring11

5_Lecture5.1_zScores_0211r_Spring11 - V z-Scores PSY207B...

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1 PSY207 B Spring 2011 Psychological Statistics V. z -Scores Objectives 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 z-Scores 5.1 Normal Distribution Standard Scores and Normal Distribution • 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 N(μ, σ )

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2 Normal Curve Total Proportion/Area Under the Curve = 1.00 Proportion under half of the curve = 0.50 Proportion under half of the curve = 0.50 Normal Curve • When we plot a smooth curve instead of a histogram, we are plotting a Probability Density Curve Histogram Frequency Shows the frequency of the variable plotted on the x axis Probability Density Curve Shows the probability or likelihood of the variable plotted on the x axis Probability Normal Curve • A probability density curve tells us how likely -- or probable -- something is • When the probability density function is in the shape of a normal curve , it is called a normal density curve Normal Density Curve Very probable Probability
3 Normal Density Curve Not probable Probability Not probable Normal Density Curve

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