KnowledgeInSight
What Mathematicians Do
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Course 4 · Module 2

Statistics

This module covers the branch of mathematics that reasons from data back to the world. You'll see how a 17th-century study of London's death records began the field, how a sample of a thousand people can tell you about millions, and why every estimate comes with a margin of error. You'll then judge the evidence behind medical trials, psychological tests, and published research, including the debate over whether much of it holds up.

Module objectives

  • Explain how a sample is used to estimate a population value and why every estimate carries uncertainty.
  • Evaluate the design and measurement behind a statistical claim, and describe the current debate over p-values and replication.

2 lessons · 19 items · 2h 36m

Lessons

  1. Lesson 1 Statistics: From mortality tables to inference: learning about a population from a sample You'll see how statistics grew from counting deaths in 17th-century London into a way of learning about millions of people from a few thousand. You'll work out a poll's margin of… 61111h 3m
  2. Lesson 2 Statistics: Clinical trials, psychometrics, and the replication crisis You'll see how statistics decides whether a medicine works, how tests measure things that can't be seen directly, and why many published findings have failed to repeat. You'll… 611111h 33m