## Statistics Fundamentals

Data can be deceiving. Learn to use math to discern truth from fiction.

Riddles on Averages

Solving Forward, Solving Backward

Deception

Mean and Median

Mode

Quantiles

IQR

A Probability Refresher

Simpson's Paradox

Scatterplots and Regression

Regression Paradoxes

Bar and Line Graphs

More Graphs

Cumulative Frequency Plots

The Two MADs

Variance and Standard Deviation

Building the Normal Curve

Mathematical Bias

The n-1 Mystery

Observation vs. Experiment

Bayesian Probability

Experiment Design

Blocking

Confidence Intervals

Hypothesis Testing

Type I and Type II Errors

### Course description

Statistics starts from data and then asks what was used to generate it. Learning the building blocks — median, mode, range, variance, and standard deviation — will help you analyze graphs, determine statistical significance, and make informed decisions. By the end of this course, you'll be able to mathematically quantify predictions, use statistical tools to conduct experiments, and discern the truth in a set of data.

### Topics covered

- Arithmetic Mean
- Median
- Mode
- Quantiles
- IQR
- Variance
- Standard Deviation
- Regression
- Deceptive Graph Design
- Cumulative Frequency Plots
- p-values
- Normal Curves
- Experiment Design
- Type I and Type II errors
- Simpson's Paradox

### Prerequisites and next steps

You'll need an understanding of algebra and some familiarity with probability.