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Graphing 5 - Review Mean as the balancing point Standard...

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Review Mean as the balancing point Standard deviation = average distance from the mean Are the scores very spread out from the mean? High variance, high standard deviation Are the scores all fairly close to the mean? Low variance, low standard deviation
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Standard Deviation Standard Deviation:  How much scores vary  around the mean. 
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How to calculate standard deviation ( 29 N x ( 29 M x - ( 29 M x - ( 29 N M x 2 2 VAR - = = σ ( 29 N M x 2 - ( 29 N M x 2 SD - = = σ 2 Step 1: the mean Step 2: deviation from the mean Step 3: squared deviation from the mean Step 4: sum of squares Step 5: variance Step 6: standard deviation
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Standard Deviation “Score” = X “Deviation from the Mean” = X-M “Squared Deviation” = (X-M) 2
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girl scouts x m x-m (x-m) 2 30 34.091 -4.091 16.736 25 34.091 -9.091 82.646 27 34.091 -7.091 50.282 16 34.091 -18.091 327.284 9 34.091 -25.091 629.558 45 34.091 10.909 119.006 52 34.091 17.909 320.732 68 34.091 33.909 1149.820 27 34.091 -7.091 50.282 36 34.091 1.909 3.644 40 34.091 5.909 34.916
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Graphing
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Frequency Tables Categorical Variables Number of males/females Occupations of your participants Ethnicity Continuous Variables Scores on a spelling test Number of boxes of cookies sold
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Common Graphs: ONE variable Bar Graphs Used for categorical data Bars do not touch Histograms Used for continuous (interval) data Bars touch Frequency Polygons Used for continuous (interval) data Lines connect the dots
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Scatterplot: TWO variables Relationship between TWO continuous variables Grades and Studying Age and Memory Height and Weight
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1 – draw the axes and decide which variable goes on which axis Hours per week on Facebook Quality of Facebook relationships
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