Interactive course — Foundational Math

Statistics

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

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Overview

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

Interactive quizzes

35

Concepts and exercises

240+

Course map

Prerequisites and Next Steps

  1. 1

    Statistics Introduction

    Learn the tools needed to detect data fakery.

    1. Riddles on Averages

      Get a feel for statistics by investigating averages.

      1
    2. Solving Forwards, Solving Backwards

      How are probability and statistics different?

      2
    3. Deception

      Explore some cases where statistics can be deceptive.

      3
  2. 2

    Building Blocks

    Everything you need to analyze a set of data.

    1. Mean and Median

      Learn what mean and median are, how they get applied, and where using them might be inappropriate.

      4
    2. Mode

      Reckon with the data that appears the most.

      5
    3. Quantiles

      Split lists in more ways than one.

      6
    4. IQR

      Consider a metric used to decide outliers.

      7
    5. A Probability Refresher

      Review some essential probability concepts!

      8
    6. Simpson's Paradox

      Explore a famous paradoxical situation in which probability seems to defy reality.

      9
  3. 3

    Lying with Statistics

    Use statistics and graphs together to make informed decisions.

    1. Scatterplots and Regression

      Learn how regressions are made.

      10
    2. Regression Paradoxes

      Study the drawbacks and confounding aspects of using regressions.

      11
    3. Bar and Line Graphs

      Check out a wide variety of bar and line graphs that are designed to deceive.

      12
    4. More Graphs

      What other types of data visualizations are out there, and how might they be used and misused?

      13
    5. Cumulative Frequency Plots

      Investigate a type of graph that accumulates to 100%.

      14
  4. 4

    Variance and Normal Curves

    Standard deviation, mean, range, and a mathematical mystery...

    1. The Two MADs

      Learn about two technical statistical metrics.

      15
    2. Variance and Standard Deviation

      Build and strengthen your intuition for using variance and standard deviation.

      16
    3. Building the Normal Curve

      Use this puzzle to derive the most famous curve in statistics.

      17
    4. Mathematical Bias

      When and how can sampling go wrong?

      18
    5. The n-1 Mystery

      Resolve an algebraic mystery.

      19
  5. 5

    Experiments

    Learn how to manipulate a situation to find a relationship between two variables.

    1. Observation vs. Experiment

      When can you say a conclusion is sound?

      20
    2. Bayesian Probability

      Review conditional probability by solving these practice problems.

      21
    3. Experiment Design

      What's the best way to design an experiment?

      22
    4. Blocking

      Learn the reasoning behind different methods of sampling.

      23
    5. Confidence Intervals

      There's always some uncertainty, but just how much?

      24
    6. Hypothesis Testing

      Get a feel for how margins of error and p-values are really used.

      25
    7. Type I and Type II Errors

      Account for false positives and false negatives.

      26
  6. 6

    Coming soon

    Real-Life Scenarios