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Do Now, Calculate these values ,[object Object],[object Object],[object Object],[object Object],[object Object],Providence Jefferson 10 7.7 9.3 7.7 8.5 7.7 7.7 7.4 7.7 7.3 6.7 7.1 6.2 6.8 5.8 6.7 5.4 6.6 4.2 6.5
Measures of Variation ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Range ,[object Object],[object Object],[object Object]
Standard Deviation ,[object Object],[object Object],[object Object],[object Object],[object Object]
Population Standard Deviation ,[object Object],[object Object],[object Object],[object Object]
Standard Deviation ,[object Object],[object Object],[object Object],[object Object]
Calculating a Standard Deviation ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Live Example: Jefferson Valley 7.7 7.7 7.7 6.5 7.4 7.3 7.1 6.8 6.7 6.6
Your turn: Providence 6.2 5.8 5.4 4.2 6.7 7.7 10 9.3 8.5 7.7
Rounding ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Homework ,[object Object],[object Object]
Uses Standard Deviation ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Estimating Frequencies ,[object Object],mean mean + s mean + 2s mean + 3s mean – 3s mean – 2s mean – s 34% 34% 17% 17% 2.4% 2.4% 0.1% 0.1% 68% 95% 99.7%
Distribution Spread of Bank Data 0 (mean) +1s +2s + 3s -3s -2s -1s
Outliers and Unusual Values ,[object Object],[object Object],mean mean + 2s mean – 2s 2.5% 2.5% 95%
Outliers and Unusual Values ,[object Object],[object Object],[object Object],[object Object],[object Object]
Frequency Table ,[object Object],[object Object],[object Object],[object Object],[object Object]
Building a Frequency Table ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
IQ Scores ,[object Object],[object Object]
IQ Frequency Table Frequency UCB LCB
Using Mean and Std Dev to curve a tests ,[object Object],[object Object],[object Object],C+  B B+  A F  D D+  C A+
Your Turn ,[object Object],[object Object],[object Object],[object Object]
IQ Frequency Table Frequency UCB LCB
Homework ,[object Object],[object Object],[object Object],[object Object]
Frequency Table: Male Frequency UCB LCB
Frequency Table: Female Frequency UCB LCB

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2 5 standard deviation