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Mathematics

Statistics & Probability

Collecting, displaying and describing data, probability, and drawing conclusions from samples.

  • 10 chapters
  • 30 lessons
  • All free
Start hereStatistical Questions and VariablesAsking Questions with Data · Learn statistical questions, variable types.Start lesson

Chapters

1

Asking Questions with Data

Statistics & Probability: asking questions with data. Review before publishing.

3 lessons

Flashcards Practice test
  1. 1.1Statistical Questions and VariablesLearn statistical questions, variable types.
  2. 1.2Populations and SamplesLearn population, sample.
  3. 1.3Reading Graphs CriticallyLearn graph scales, relative frequency.
2

Displaying Data

Statistics & Probability: displaying data. Review before publishing.

3 lessons

Flashcards Practice test
  1. 2.1Dot Plots and HistogramsLearn dot plots, histograms, histogram bins.
  2. 2.2Box PlotsLearn interquartile range, median.
  3. 2.3Choosing an Appropriate DisplayLearn choosing a data display, time-series ordering.
3

Describing Distributions

Statistics & Probability: describing distributions. Review before publishing.

3 lessons

Flashcards Practice test
  1. 3.1Center and SpreadLearn arithmetic mean, population standard deviation.
  2. 3.2Shape and OutliersLearn outlier fences, shape and resistance.
  3. 3.3Comparing GroupsLearn comparing centers, comparing variability.
4

Collecting Data

Statistics & Probability: collecting data. Review before publishing.

3 lessons

Flashcards Practice test
  1. 4.1Sampling MethodsLearn simple random samples, systematic sampling, stratified sampling.
  2. 4.2BiasLearn nonresponse bias, undercoverage.
  3. 4.3Observational Studies Versus ExperimentsLearn observational comparisons, random assignment.
5

Probability Foundations

Statistics & Probability: probability foundations. Review before publishing.

3 lessons

Flashcards Practice test
  1. 5.1Sample SpacesLearn sample spaces and counting, equally likely probability.
  2. 5.2Probability RulesLearn union and overlap, complement events.
  3. 5.3IndependenceLearn independent events, dependent draws.
6

Conditional Probability

Statistics & Probability: conditional probability. Review before publishing.

3 lessons

Flashcards Practice test
  1. 6.1Two-Way TablesLearn two-way tables, joint probability.
  2. 6.2Conditional ProbabilityLearn conditional probability, reversing a condition.
  3. 6.3Bayes Rule Through ExamplesLearn bayes updating, base rates and false flags.
7

Random Variables

Statistics & Probability: random variables. Review before publishing.

3 lessons

Flashcards Practice test
  1. 7.1Discrete DistributionsLearn discrete distributions, events for a random variable.
  2. 7.2Expected ValueLearn expected value, expected net gain.
  3. 7.3Binomial SettingsLearn binomial settings, binomial probabilities.
8

Sampling Distributions

Statistics & Probability: sampling distributions. Review before publishing.

3 lessons

Flashcards Practice test
  1. 8.1Variability Between SamplesLearn sampling variability, unbiased sample means.
  2. 8.2The Central Limit IdeaLearn central limit idea, standard scores.
  3. 8.3Standard ErrorLearn estimated standard error, sample size and precision.
9

Statistical Inference

Statistics & Probability: statistical inference. Review before publishing.

3 lessons

Flashcards Practice test
  1. 9.1Confidence IntervalsLearn confidence-interval construction, margin and total width.
  2. 9.2Hypotheses and P-ValuesLearn standardized test statistics, p-values and decisions.
  3. 9.3Interpreting ConclusionsLearn confidence-level interpretation, type i errors and multiple testing.
10

Relationships Between Variables

Statistics & Probability: relationships between variables. Review before publishing.

3 lessons

Flashcards Practice test
  1. 10.1ScatterplotsLearn scatterplot coordinates, local point comparisons.
  2. 10.2CorrelationLearn correlation and explained variation, correlation and units.
  3. 10.3Linear Regression and ResidualsLearn regression predictions, residuals.