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### Lectures+6+_+7-+Normal+Curve-post

Course: CSCI N207, Fall 2008
School: IUPUI
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Word Count: 273

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5: Chapter Normal Curve September Master subtitle style Click to edit9-11, 2008 8/12/10 Why should we care? Distribution of most variables we measure: Intelligence Achievement Positive Affectivity Personality Variables Assumption of many inference tests 8/12/10 The normal curve Y= frequency of X X= score = mean of the distribution 8/12/10 Area contained under the curve IQ E.g., IQ scores...

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5: Chapter Normal Curve September Master subtitle style Click to edit9-11, 2008 8/12/10 Why should we care? Distribution of most variables we measure: Intelligence Achievement Positive Affectivity Personality Variables Assumption of many inference tests 8/12/10 The normal curve Y= frequency of X X= score = mean of the distribution 8/12/10 Area contained under the curve IQ E.g., IQ scores SAT = 100 8/12/10 132 52 148 68 84 100 116 A z score is a transformed score that designates how many standard deviation units the corresponding score is above or below the mean Standard Scores z scores 8/12/10 X z= X X z= s mean = 0 standard deviation =1 Raw scores do NOT In which class are you doing better? Social Psychology You got an 87! mean= 80 sd =5 You got a 92! mean = 75 = sd 15 Abnormal Psychology 8/12/10 Determine the z score for each raw score X X2 2 4 6 36 3 9 1 1 3 9 X=15 X2= Xbar= 59 3 8/12/10 z ( X ) SS = X N 2 2 s= SS N 1 X X z= s Finding the percentile rank of any raw score 1. 2. 3. Draw the normal curve Place the raw score on the x-axis Shade the targeted area under the curve Calculate z Use Normal Curve Table 4. 5. 8/12/10 Example 1. What percentage of the population scores under 650 on the verbal portion of the SAT? SAT = 500 SAT = 100 1. What percentage of the population scores between 480 and 650? 8/12/10 Percentile Rank of 650 .5 or 50% ? Add the two areas 8/12/10 percentage of the population scores between ? ? Add the two areas 8/12/10 percentage of the population scores between Subtract one area from the other 8/12/10
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