12.07.2015 Views

Introduction-to-Statistics-and-Quantitative-Research-Methods

Introduction-to-Statistics-and-Quantitative-Research-Methods

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Why square deviations?To calculate variance, the meanof a group of scores issubtracted from each score <strong>to</strong>give a group of ‘deviations’.• When we take the average ofthe deviation scores, the meanis calculated as the average,<strong>and</strong> the deviance scores <strong>to</strong>talzero (positive <strong>and</strong> negativescores cancel).• If you first square the deviationscores <strong>and</strong> then add them, youavoid this problem.• The average of these squareddeviation scores is called thevariance.X=individual scoreM=mean of all scoresn= number of scoresExample:80 mean score5 scoresIndividual scores: 90, 90, 70, 70, 80.Sum of (90-80), (90-80), (70-80), (70-80), (80-80)= 0NEED TO SQUARE!(90-80) 2 + (90-80) 2 +(70-80) 2 +(70-80) 2 + (80-80) 2 =100+100+100+100+0=400Variance=100

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