Summarizing Measured Data

This lecture covers the following topics:
• Part III: Probability Theory and Statistics
• Basic Probability and Statistics Concepts
• CDF, PDF, and PMF
• Mean, Variance, CoV
• Covariance and Correlation
• Mean and Variance of Sums
• Quantiles, Median, and Mode
• Normal Distribution
• Normal Quantiles
• Why Normal?
• Summarizing Data by a Single Number
• Mean, Median, and Mode: Relationships
• Selecting Mean, Median, and Mode
• Indices of Central Tendencies: Examples
• Common Misuses of Means
• Geometric Mean
• Geometric Mean: Example
• Examples of Multiplicative Metrics
• Geometric Mean of Ratios
• Harmonic Mean
• Weighted Harmonic Mean
• Mean of A Ratio
• Mean of a Ratio: Example
• Mean of a Ratio: Special Cases
• Program Optimizer Static Size Data
• Summarizing Variability
• Indices of Dispersion
• Range
• Variance
• Percentiles
• Quartiles
• Semi Inter-Quartile Range
• Mean Absolute Deviation
• Comparison of Variation Measures
• Measures of Variation: Example
• Selecting the Index of Dispersion
• Determining Distribution of Data
• Quantile-Quantile plots
• Quantile-Quantile Plots: Example
• Interpretation of Quantile-Quantile Data
• Summary
• Homework
• Exercise 12.1
• Exercise 12.2
• Exercise 12.3
• Exercise 12.4
• Exercise 12.5
• Exercise 12.6
• Exercise 12.7
• Exercise 12.7b
• Exercise 12.8
• Exercise 12.9
• Exercise 12.10
• Exercise 12.11
• Exercise 12.12
• Exercise 12.13
• Exercise 12.14

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