Meaning from Data: Statistics Made Clear

Course Description:
Learn how to understand statistical information and apply it to real-world issues. From political polls to sports analysis, discover how statistics describe, predict, and sometimes mislead. With engaging examples, this course teaches you how to interpret data, avoid common errors, and see the world through the lens of probability and inference.

Course Outline

01: Describing Data and Inferring Meaning
How do we understand a situation with complete data? And how can we infer conclusions when we only have part of the data? Explore the foundations of statistics.
33 min

02: Data and Distributions – Getting the Picture
Visualization is key to statistics. Learn how graphs and charts reveal patterns, distributions, and relationships between variables.
32 min

03: Inference – How Close? How Confident?
Explore the logic of statistical inference, randomness, and probability, which underpin all hypothesis testing.
33 min

04: Describing Dispersion or Measuring Spread
Understand standard deviation and other measures of spread to determine how data varies around the mean.
30 min

05: Models of Distributions – Shapely Families
Discover skewed, bimodal, exponential, and Poisson distributions, and see how each arises in different contexts.
32 min

06: The Bell Curve
Examine the famous normal distribution, why it appears so often, and its link to the central limit theorem.
32 min

07: Correlation and Regression – Moving Together
Learn how statistics measure relationships between variables, such as SAT scores and college GPAs.
33 min

08: Probability – Workhorse for Inference
See how probability assigns numerical values to random events, often revealing how misleading intuition can be.
32 min

09: Samples – The Few, The Chosen
Investigate the principles and pitfalls of sampling, with examples from political polling and everyday studies.
30 min

10: Hypothesis Testing – Innocent Until
Discover how hypothesis testing evaluates claims about populations, with applications such as drug testing.
31 min

11: Confidence Intervals – How Close? How Sure?
Analyze what “margin of error” really means and why it’s critical for interpreting polls and experiments.
34 min

12: Design of Experiments – Thinking Ahead
Learn about double-blind experiments and other strategies for sound experimental design.
31 min

13: Law – You’re the Jury
See how statistics influence courtroom decisions, from hit-and-run cases to discrimination lawsuits.
29 min

14: Democracy and Arrow’s Impossibility Theorem
Understand how voting methods can distort election outcomes, especially with more than two candidates.
29 min

15: Election Problems and Engine Failure
Explore the mathematical parallels between ranking election candidates and evaluating competing engines.
29 min

16: Sports – Who’s Best of All Time?
Apply statistics to sports questions like “best baseball hitter ever” and test myths such as the “hot hand.”
31 min

17: Risk – War and Insurance
Examine concepts of expected value through wartime tank production estimates and insurance practices.
30 min

18: Real Estate – Accounting for Value
Learn multiple regression through real estate valuation, applying sales data to estimate housing prices.
29 min

19: Misleading, Distorting, and Lying
Uncover statistical tricks and misuse, including biased samples, selective data, and false correlations.
30 min

20: Social Science – Parsing Personalities
Explore factor analysis and limitations of hypothesis testing in the study of social sciences.
31 min

21: Quack Medicine, Good Hospitals, and Dieting
See how regression to the mean explains apparent cures, and learn to separate correlation from causation in medicine.
31 min

22: Economics – “One” Way to Find Fraud
Discover Benford’s Law, showing how leading digits can reveal financial fraud in economic data.
31 min

23: Science – Mendel’s Too-Good Peas
Explore the role of statistics in science, from astronomy to genetics, and the controversy over Mendel’s data.
31 min

24: Statistics Everywhere
Conclude by examining the growing importance of statistics in the age of big data and computing power.
31 min