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Statistics · Lessons

Statistics lessons

9 sections · 34 skills · work through the full outline skill by skill — read the long-form lesson or flip through the slide-style version.
Long-form lessonsSlide-style lessons

Statistics

Practice 34 skills across this outline.

Recommended next
Developing Theoretical Probability Distributions, Expected Value
Expected Value
Long-form lesson
Weighting distribution
11 categories
Expected Value
11%
Probability Rules
11%
Independence & Conditional Probability
11%
One-Variable Data
11%
Inferences & Conclusions
11%
Random Processes
11%

Skills

The comprehensive taxonomy of statistics — drill into a card to work its skills.

Expected Value

4 core skills11% total weight
0/4 completed
4 skills to mastery
1
Developing Theoretical Probability Distributions, Expected ValueRecommended
Long-form
2
Calculating Expected Value of Random VariablesAvailable
Long-form
3
Defining Random Variables and Probability DistributionsAvailable
Long-form
4
Developing Empirical Probability Distributions, Expected ValueAvailable
Long-form

Probability Rules

4 core skills11% total weight
0/4 completed
4 skills to mastery
1
Applying the Addition Rule for ProbabilityAvailable
Long-form
2
Applying the Multiplication Rule for ProbabilityAvailable
Long-form
3
Finding Conditional Probability in ModelsAvailable
Long-form
4
Using Permutations and Combinations in ProbabilityAvailable
Long-form

Independence & Conditional Probability

5 core skills11% total weight
0/5 completed
5 skills to mastery
1
Explaining Conditional Probability in Everyday SituationsAvailable
Long-form
2
Describing Events in Sample SpacesAvailable
Long-form
3
Conditional Probability and IndependenceAvailable
Long-form
4
Understanding Independent EventsAvailable
Long-form
5
Using Two-Way Tables for ProbabilityAvailable
Long-form

One-Variable Data

4 core skills11% total weight
0/4 completed
4 skills to mastery
1
Comparing Data Sets by Center, SpreadAvailable
Long-form
2
Interpreting Data Distributions and OutliersAvailable
Long-form
3
Representing Data with Number Line PlotsAvailable
Long-form
4
Using Normal Distributions to Estimate PopulationsAvailable
Long-form

Inferences & Conclusions

4 core skills11% total weight
0/4 completed
4 skills to mastery
1
Comparing Treatments Using Randomized ExperimentsAvailable
Long-form
2
Estimating Population Parameters with Error MarginAvailable
Long-form
3
Evaluating Reports Based on DataAvailable
Long-form
4
Understanding Surveys, Experiments, and Observational StudiesAvailable
Long-form

Evaluate Outcomes of Decisions · Weighing Outcomes with Expected Value

2 core skills4% total weight
0/2 completed
2 skills to mastery
1
Compare Strategies Using Expected ValueAvailable
Long-form
2
Find Expected Value of a GameAvailable
Long-form

Evaluate Outcomes of Decisions · General Skills

2 core skills7% total weight
0/2 completed
2 skills to mastery
1
Analyzing Decisions and Strategies with ProbabilityAvailable
Long-form
2
Using Probability to Make Fair DecisionsAvailable
Long-form

Random Processes

2 core skills11% total weight
0/2 completed
2 skills to mastery
1
Evaluating Models with Data and SimulationAvailable
Long-form
2
Statistics: a Process of Making InferencesAvailable
Long-form

Linear Models

3 core skills11% total weight
0/3 completed
3 skills to mastery
1
Distinguishing Correlation and CausationAvailable
Long-form
2
Fitting Linear Functions to DataAvailable
Long-form
3
Assessing Model Fit with ResidualsAvailable
Long-form

Two-Variable Data · Representing/Modeling Data with Scatter Plots

3 core skills7% total weight
0/3 completed
3 skills to mastery
1
Evaluate Model Fit with ResidualsAvailable
Long-form
2
Fit Linear Models to Scatter PlotsAvailable
Long-form
3
Fit Functions to Real-World DataAvailable
Long-form

Two-Variable Data · General Skills

1 core skills4% total weight
0/1 completed
1 skill to mastery
1
Summarizing Categorical Data: Two-Way TablesAvailable
Long-form