STATISTICS
The science of collecting, analyzing, interpreting, and presenting data. In a chaotic world, statistics provides the tools to find the signal in the noise.
The Central Limit Theorem
You are watching it happen in the background. When you sum up many independent random variables (like balls bouncing left or right), the result always converges to a Normal Distribution (The Bell Curve).
Core Curriculum
Descriptive Statistics
Summarizing datasets. Mean, Median, Mode, and standard deviation.
Inferential Statistics
Hypothesis testing, confidence intervals, and p-values.
Probability Theory
Quantifying uncertainty, random variables, and distributions.
Bayesian Statistics
Probabilistic reasoning that updates belief as new data arrives.
Regression Analysis
y = 0.00x + 0
Click to plot data
Algorithm: Least Squares Method
Statistical Notation
Mean (µ)
Population Average
Σx / N
Standard Deviation (σ)
Spread/Dispersion
√Var(x)
Correlation (r)
Linear Relationship
cov(x,y) / σxσy