Lecture "Probability & statistics - Chapter 3: Numerical summary" has contents: Data measurements, locations, variability measures, shape, arithmetic mean, compare the mean, mode, quartile, range, variance & standard deviation Invite you to consult the content. | Lecture Probability & statistics: Chapter 3 - Bùi Dương Hải Lecture 3. NUMERICAL SUMMARY Data Measurements Locations Variability Measures Shape [1] Chapter 3, pp. 99 - 162 [3] Chapter 2 PROBABILITY & STATISTICS– Bui Duong Hai – NEU – 1 Comparison Profit of Project A (million) Profit of two 30% project A & B 20% 20% 15% 10% 5% 1 2 3 4 5 6 Profit of Project B (million) 30% 20% 20% 15% 10% 5% 1 2 3 4 5 6 PROBABILITY & STATISTICS– Bui Duong Hai – NEU – 2 Comparison Profit of Project C (million) 30% 20% 20% 15% 8% 5% 2% 0% 0% 1 2 3 4 5 6 7 8 9 Profit of Project D (million) 30% 20% 20% 15% 8% 5% 2% 0% 0% 1 2 3 4 5 6 7 8 9 PROBABILITY & STATISTICS – Bui Duong Hai – NEU – 3 Comparison Profit of Project E (million) 20% 20% 15% 15% 10% 10% 5% 5% -1 0 1 2 3 4 5 6 Profit of Project F (million) 40% 40% 10% 10% 0% 0% 0% 0% -1 0 1 2 3 4 5 6 PROBABILITY & STATISTICS – Bui Duong Hai – NEU – 4 Data Measurements Location: Minimum, Maximum Central Tendency: Mean, Median, Mode Quantile: Quartile, Percentile Variability: Range Variance (Var) Standard Deviation (SD) Coefficient of Variation (CV) Interquartile Range (IQR) PROBABILITY & STATISTICS – Bui Duong Hai – NEU – 5 . Mean (arithmetic mean) Apply for scale variable only = Population Sample Data: { , , , } Data: { , , , } + + ⋯+ + + ⋯+ = = Have the same unit as the original data PROBABILITY & STATISTICS – Bui Duong Hai – NEU – 6 Weighted mean Price ($) in Quarter 1, 2, 3, 4 are 10, 12, 18, 14, respectively. 10 + 12 + 18 + 14 = = 4 Any difference if the volume of sales in Quarter 1, 2, 3, 4 are 70, 90, 110, 130? Q1 Q2 Q3 Q4 Value xi Price 10 12 18 .