- Standard deviation : - Characteristics of standard deviation
2.4 (cont.) Using the Mean and Standard Deviation Together
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1 2.4 (cont.) Using the Mean and Standard Deviation Together 68-95-99.7 rule z-scores
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2.4 (cont.) Using the Mean and Standard Deviation Together. 68-95-99.7 rule z-scores. 68-95-99.7 rule. Mean and Standard Deviation (numerical). Histogram (graphical). 68-95-99.7 rule. The 68-95-99.7 rule; applies only to mound-shaped data. - PowerPoint PPT Presentation
Transcript of 2.4 (cont.) Using the Mean and Standard Deviation Together
Interpreting the standard deviation
2.4 (cont.)Using the Mean and Standard Deviation Together68-95-99.7 rulez-scores#68-95-99.7 ruleMean andStandard Deviation(numerical)Histogram(graphical)68-95-99.7 rule#The 68-95-99.7 rule; applies only to mound-shaped data
#68-95-99.7 rule: 68% within 1 stan. dev. of the mean
68%34%34%y-s y y+s#68-95-99.7 rule: 95% within 2 stan. dev. of the mean
95%47.5%47.5%y-2s y y+2s#Example: textbook costs
286291307308315316327328340342346347348348349354355355360361364367369371373377380381382385385387390390397398409409410418422424425426428433434437440480
#Example: textbook costs (cont.)286291307308315316327328340342346347348348349354355355360361364367369371373377380381382385385387390390397398409409410418422424425426428433434437440480
#Example: textbook costs (cont.)286291307308315316327328340342346347348348349354355355360361364367369371373377380381382385385387390390397398409409410418422424425426428433434437440480
#Example: textbook costs (cont.)286291307308315316327328340342346347348348349354355355360361364367369371373377380381382385385387390390397398409409410418422424425426428433434437440480
#The best estimate of the standard deviation of the mens weights displayed in this dotplot is
101520407#Z-scores: Standardized Data ValuesMeasures the distance of a number from the mean in units of the standard deviation#z-score corresponding to y
#Exam 1: y1 = 88, s1 = 6; exam 1 score: 91 Exam 2: y2 = 88, s2 = 10; exam 2 score: 92Which score is better?
#Comparing SAT and ACT ScoresSAT Math: Eleanors score 680SAT mean =500 sd=100ACT Math: Geralds score 27ACT mean=18 sd=6Eleanors z-score: z=(680-500)/100=1.8Geralds z-score: z=(27-18)/6=1.5Eleanors score is better.
#Z-scores add to zeroStudent/Institutional Support to Athletic Depts For the 9 Public ACC Schools: 2013 ($ millions)SchoolSupporty - ybarZ-scoreMaryland15.56.41.79UVA13.14.01.12Louisville10.91.80.50UNC9.20.10.03VaTech7.9-1.2-0.34FSU7.9-1.2-0.34GaTech7.1-2.0-0.56NCSU6.5-2.6-0.73Clemson3.8-5.3-1.47Mean=9.1000, s=3.5697Sum = 0Sum = 0#In 2007-08 the mean tuition at 4-yr public colleges/universities in the U.S. was $6185 with a standard deviation of $1804. In NC the mean tuition was $4320. What is NCs z-score?
1.03-1.032.391865-186510#End of Section 2.4
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![BOYMOR.QLE QL.REP] - Stacksxk898wv6983/xk898wv6983.pdf · 15 jun 1978 6:55 boymor.qle ql,rep] page 1-1 (cont.) (cont.) (cont.) (cont.) (cont.) (cont.) prover prover (cont.) 5 comment](https://static.fdocuments.in/doc/165x107/6057337242a55f07515b3baa/qlrep-stacks-xk898wv6983xk898wv6983pdf-15-jun-1978-655-boymorqle-qlrep.jpg)
