Summarizing Measured Data

• 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

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