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Statistics
Statistics for Business
1. Introduction to Business Statistics
2. Descriptive Statistics
3. Probability Theory
4. Sampling and Sampling Distributions
5. Statistical Inference: Estimation
6. Statistical Inference: Hypothesis Testing
7. Regression Analysis
8. Time Series Analysis and Forecasting
9. Statistical Quality Control
10. Decision Analysis
Descriptive Statistics
Organizing and Tabulating Data
Raw Data vs. Grouped Data
Frequency Distributions for Categorical Data
Construction of Frequency Tables
Relative Frequencies
Cumulative Frequencies
Frequency Distributions for Numerical Data
Class Intervals
Class Boundaries
Class Width
Class Midpoints
Relative Frequencies
Cumulative Frequencies
Data Visualization Techniques
Categorical Data Visualization
Bar Charts
Simple Bar Charts
Clustered Bar Charts
Stacked Bar Charts
Construction and Interpretation
Pie Charts
Construction and Interpretation
When to Use Pie Charts
Pareto Charts
Pareto Principle
Construction and Interpretation
Numerical Data Visualization
Histograms
Construction and Interpretation
Choosing Bin Widths
Shape Analysis
Frequency Polygons
Ogives
Stem-and-Leaf Displays
Dot Plots
Bivariate Data Visualization
Scatter Plots
Construction and Interpretation
Identifying Relationships
Outliers and Patterns
Cross-Tabulations
Contingency Tables
Marginal Distributions
Joint Distributions
Measures of Central Tendency
Mean
Arithmetic Mean for Ungrouped Data
Arithmetic Mean for Grouped Data
Weighted Mean
Properties of the Mean
Median
Calculation for Odd Sample Sizes
Calculation for Even Sample Sizes
Median for Grouped Data
Properties of the Median
Mode
Unimodal Distributions
Bimodal Distributions
Multimodal Distributions
Properties of the Mode
Geometric Mean
Calculation
Applications in Growth Rates
When to Use Geometric Mean
Harmonic Mean
Calculation
Applications in Business
Choosing Appropriate Measures
Measures of Variation
Range
Calculation
Interpretation
Limitations
Interquartile Range
First Quartile
Third Quartile
Calculation of IQR
Interpretation
Variance
Population Variance
Sample Variance
Calculation Methods
Standard Deviation
Population Standard Deviation
Sample Standard Deviation
Interpretation
Empirical Rule
Coefficient of Variation
Calculation
Interpretation
Comparing Variability
Measures of Shape and Position
Skewness
Positive Skewness
Negative Skewness
Measuring Skewness
Business Interpretation
Kurtosis
Leptokurtic Distributions
Mesokurtic Distributions
Platykurtic Distributions
Percentiles
Calculation
Interpretation
Business Applications
Quartiles
First Quartile
Second Quartile
Third Quartile
Z-Scores
Standardization Process
Interpretation
Identifying Outliers
Box-and-Whisker Plots
Construction
Interpretation
Identifying Outliers
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1. Introduction to Business Statistics
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3. Probability Theory