LectureAug31

LectureAug31 - 1 Descriptive Statistics(Continued BME 423...

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Unformatted text preview: 1 Descriptive Statistics (Continued) BME 423 HR Statistics Some Basic Probability Probability and Random Variables • Discrete RV • Continuous RV Discrete Random Variables • Probability Function (p.f.) • Distribution Function (d.f.) • Expected Value BME 423 Lecture Notes - Aug. 31, 2009 Height of Martians – The Population 1 1 N i i x N μ = = ∑ ( ) 2 2 1 1 N i i x N σ μ = = − ∑ Dispersion - Variance Central Tendency - Mean , 1 , , i x i N = … 40. 5.0 cm cm μ σ = = 2 HR of BME 423 Students – The Population 58 65.8 beats/min =10.4 beats/min median 65.0 beats/min range [48, 92] 25 % 58. beats/min 75 % 71. beats/min N th th μ σ = = = = = = 40 43 45 48 50 53 55 58 60 63 65 68 70 73 75 78 80 83 85 88 90 93 2 4 6 8 10 12 HR (beats/min) Number Height of Martians – A Sample 1 1 41.5 3.8 x s = = 2 2 36. 5. x s = = 3 3 40. 5. x s = = 40. cm 5.0 cm μ σ = = is an estimateof x μ is an estimateof s σ " N=10 3 , 1 , , i x i n = … Given a sample of size n: 1 1 n i i x x n = = ∑ Sample mean: ( ) 2 2 1 1 1 n i i s x x n = = − − ∑ Sample variance:...
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LectureAug31 - 1 Descriptive Statistics(Continued BME 423...

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