Chapter3.3-3.4

# Chapter3.3-3.4 - An Alternative Formula for Calculating SD:...

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An Alternative Formula for  Calculating SD: =25494  =25000        S= 7.4087                             S=14.1578 How to interpret SD? Is SD resistant to outliers?             =26801 =25000

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Three-Standard-Deviations Rule  Almost all the observations in any data set lie  within three standard deviations to either side of the mean Empirical rule  -(68-95-99.7 rule)  :  99.7% Chebychev’s rule:  89%
Three-Standard Deviation Rule Lie within one standard deviation of the mean:                                                        [  -s,   +s] Lie within two standard deviations of the mean:                                                      [   -2*s,   +2*s] Lie within three standard deviations of the mean:                                                      [   -3*s,   +3*s] In a sample distribution with mean= 0, s=1 [  -s,    +s]=[-1,1]  [  -2*s,   +2*s]=[-2, 2] [   -3*s,    +3*s]=[-3, 3]

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Application of 3-SD Rule:     Average height for adult men in the Unite States is  70 inches (178 cm), with a sd of 3 in (8 cm).  68% have a height within (67–73) in          (70-3,70+3) 95% have a height within (64–76) in          (70-6,70+6)  99% have a height within (61-79) in          (70-9,70+9)
3.3 Five-Number Summary; Boxplots

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## This note was uploaded on 01/09/2012 for the course 960 211 taught by Professor Lawerence during the Spring '08 term at Rutgers.

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Chapter3.3-3.4 - An Alternative Formula for Calculating SD:...

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