Bài giảng tối ưu hóa Bài 5 Basic concept statistics Ph.D Lê Minh Tâm

Chapter 1: Exploring data Tâm Minh Lê 5/21/2019 Chapter 1: Exploring data Tâm Minh Lê 5/21/2019 Mã số: Tuổi thai phụ: Huyết áp: bình thường cao Nghề nghiệp: cơng nhân tự (tuần) Tuổi thai: (gram) Trọng lượng thai: trai Giới tính thai: viên chức gái Mức độ hài lòng với dịch vụ bệnh viện tệ tệ Chapter 1: Exploring data Tâm Minh Lê bình thường tốt tốt 5/21/2019 Chapter 1: Exploring data Tâm Minh Lê 5/21/2019 Chapter 1: Exploring data Tâm Minh Lê 5/21/2019 Variable Variable Variable Variable Variable Variable Variable Variable Variable Variable Variable Variable Variable Variable Variable Variable Variable Variable Variable Variable Variable Variable Variable Variable Variable Variable Variable Chapter 1: Exploring data Tâm Minh Lê 5/21/2019 Chapter 1: Exploring data Tâm Minh Lê 5/21/2019 Chapter 1: Exploring data Tâm Minh Lê 5/21/2019 Chapter 1: Exploring data Tâm Minh Lê 5/21/2019 10 =65 =5.5 =85 =3.64 Chapter 1: Exploring data Tâm Minh Lê =1.52 =0.27 =1.80 =1.04 5/21/2019 86 Chapter 1: Exploring data Tâm Minh Lê 5/21/2019 87 Chapter 1: Exploring data Tâm Minh Lê 5/21/2019 88 Chapter 1: Exploring data Tâm Minh Lê 5/21/2019 89 Chapter 1: Exploring data Tâm Minh Lê 5/21/2019 90 Focus on the average grade for Math+, from to 10, we want to know some information : What does the distribution (of the variable) look like ? What is the central tendency of the distribution ? What is the dispersion of the distribution ? What does the box plot look like ? Compute the z-score of the school #3, what story does it tell you ? Chapter 1: Exploring data Tâm Minh Lê 5/21/2019 91 School Average grade 7.4 School 7.9 School 4.1 School 8.1 School 6.2 School 7.1 School 7.4 School 6.7 Chapter 1: Exploring data Tâm Minh Lê 5/21/2019 92 Outlier ?! Chapter 1: Exploring data Tâm Minh Lê 5/21/2019 93 Sorting data 4.1 6.2 Chapter 1: Exploring data Tâm Minh Lê 6.7 7.1 7.4 7.4 7.9 5/21/2019 8.1 94 Sorting data 4.1 6.2 6.7 7.1 7.4 7.4 7.9 8.1 Median = Mode = 7.4 Chapter 1: Exploring data Tâm Minh Lê Mean = 6.86 5/21/2019 95 4.1 6.2 6.7 Q1=6.45 7.1 7.4 Q2=7.25 7.4 7.9 8.1 Q3=7.65 Range = max - = 8.1 – 4.1 = 4.0 Chapter 1: Exploring data Tâm Minh Lê 5/21/2019 96 4.1 6.2 6.7 Q1=6.45 7.1 7.4 Q2=7.25 7.4 7.9 8.1 Q3=7.65 IQR = Q3 - Q1 = 7.65 - 6.45 = 1.2 Chapter 1: Exploring data Tâm Minh Lê 5/21/2019 97 Range = 4.0 IQR = 1.2 Chapter 1: Exploring data Tâm Minh Lê sd =1.27 5/21/2019 98 Outlier.max > Q3 + 1.5*IQR = 7.65 + 1.5*1.2 > 9.45 Outlier.min < Q1 – 1.5*IQR = 6.45 – 1.5*1.2 < 4.65 Are there any outliers in the data ? Chapter 1: Exploring data Tâm Minh Lê 5/21/2019 99 max = ? IQR = 1.2 = ? Q3 = 7.65 Q2 = 7.25 Q1 = 6.45 First: warning outlier !!! Chapter 1: Exploring data Tâm Minh Lê 5/21/2019 100 ... Exploring data Tâm Minh Lê 5/ 21/2019 13 Chapter 1: Exploring data Tâm Minh Lê 5/ 21/2019 14 Chapter 1: Exploring data Tâm Minh Lê 5/ 21/2019 15 Chapter 1: Exploring data Tâm Minh Lê 5/ 21/2019... data Tâm Minh Lê 5/ 21/2019 22 Chapter 1: Exploring data Tâm Minh Lê 5/ 21/2019 23 Chapter 1: Exploring data Tâm Minh Lê 5/ 21/2019 24 Chapter 1: Exploring data Tâm Minh Lê 5/ 21/2019 25 Chapter... Exploring data Tâm Minh Lê 5/ 21/2019 Chapter 1: Exploring data Tâm Minh Lê 5/ 21/2019 Chapter 1: Exploring data Tâm Minh Lê 5/ 21/2019 Chapter 1: Exploring data Tâm Minh Lê 5/ 21/2019 10 Chapter