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• Visualizing data

  • One-way data

  • Bar graphs and pie charts

  • Line graphs and ogives

  • Two-way data

  • Venn diagrams

  • Relative frequency tables

  • Joint distributions

  • Frequency tables and dot plots

  • Histograms and stem-and-leaf plots

• Analyzing data

  • Central tendency: mean, median, and mode

  • Spread: range and IQR

  • Changing data and outliers

  • Box-and-whisker plots

• Data distributions

  • Mean, variance, and standard deviation

  • Frequency histograms and polygons, and density curves

  • Symmetric and skewed distributions and outliers

  • Normal distributions and z-scores

• Probability

  • Simple probability

  • The addition rule, and union vs. intersection

  • Independent and dependent events and conditional probability

  • Bayes' theorem

• Discrete random variables

  • Discrete probability

  • Transforming random variables

  • Combinations of random variables

  • Permutations and combinations

  • Binomial random variables

  • Poisson distributions

  • "At least" and "at most," and mean, variance, and standard deviation

  • Bernoulli random variables

  • Geometric random variables

• Sampling

  • Types of studies

  • Sampling and bias

  • Sampling distribution of the sample mean

  • Sampling distribution of the sample proportion

  • Confidence interval for the population mean

  • Confidence interval for the population proportion

• Hypothesis testing

  • Inferential statistics and hypotheses

  • Significance level and type I and II errors

  • Test statistics for one- and two-tailed tests

  • The p-value and rejecting the null

  • Hypothesis testing for the population proportion

• Regression

  • Scatterplots and regression

  • Correlation coefficient and the residual

  • Coefficient of determination and RMSE (root mean square error)

  • Chi-square tests

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By signing up for the Probability & Statistics course, you'll gain access to:

• Step-by-step videos

• Course notes and flashcards

• Practice quizzes

• Bonus practice workbooks

• Comprehensive formula sheets

• Summary study sheets

• Practice final exams

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