Statistics Fundamentals

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

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.

Interactive
quizzes

35

Concepts and
exercises

245+
  1. 1

    Statistics Introduction

    Learn the tools needed to detect data fakery.

    1. Riddles on Averages

      Get a feel for statistics by investigating averages.

    2. Solving Forwards, Solving Backwards

      How are probability and statistics different?

    3. Deception

      Explore some cases where statistics can be deceptive.

  2. 2

    Building Blocks

    Everything you need to analyze a set of data.

    1. Included with
      Brilliant Premium

      Mean and Median

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

    2. Included with
      Brilliant Premium

      Mode

      Reckon with the data that appears the most.

    3. Included with
      Brilliant Premium

      Quantiles

      Split lists in more ways than one.

    4. Included with
      Brilliant Premium

      IQR

      Consider a metric used to decide outliers.

  3. 3

    Lying with Statistics

    Use statistics and graphs together to make informed decisions.

    1. Included with
      Brilliant Premium

      Scatterplots and Regression

      Learn how regressions are made.

    2. Included with
      Brilliant Premium

      Regression Paradoxes

      Study the drawbacks and confounding aspects of using regressions.

    3. Included with
      Brilliant Premium

      Bar and Line Graphs

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

    4. Included with
      Brilliant Premium

      More Graphs

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

  4. 4

    Variance and Normal Curves

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

    1. Included with
      Brilliant Premium

      The Two MADs

      Learn about two technical statistical metrics.

    2. Included with
      Brilliant Premium

      Variance and Standard Deviation

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

    3. Included with
      Brilliant Premium

      Building the Normal Curve

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

    4. Included with
      Brilliant Premium

      Mathematical Bias

      When and how can sampling go wrong?

  5. 5

    Experiments

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

    1. Included with
      Brilliant Premium

      Observation vs. Experiment

      When can you say a conclusion is sound?

    2. Included with
      Brilliant Premium

      Bayesian Probability

      Review conditional probability by solving these practice problems.

    3. Included with
      Brilliant Premium

      Experiment Design

      What's the best way to design an experiment?

    4. Included with
      Brilliant Premium

      Blocking

      Learn the reasoning behind different methods of sampling.

  6. 6

    Real-Life Scenarios

    Apply your statistical mastery to real-life scenarios.

    Coming Soon