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Master probability, distributions, and statistical analysis

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AP Statistics Topics

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video
Basic Concepts
Classification of data
Sampling methods
Census and bias
video
Data Representation
Frequency distribution and histograms
Frequency polygons
Shapes of distributions
video
Data Interpretation
Center of a data set: mean, median, mode
Spread of a data set - standard deviation & variance
Measures of relative standing - z-score, quartiles, percentiles
Bivariate, scatter plots and correlation
Regression analysis
Equation of the best fit line
video
Probability
Addition rule for "OR"
Multiplication rule for "AND"
Conditional probability
Probability with permutations and combinations
Law of total probability
Bayes' rule
video
Set Theory
Set notation
Set builder notation
Intersection and union of 2 sets
Intersection and union of 3 sets
video
Discrete Probabilities
Probability distribution - histogram, mean, variance & standard deviation
Binomial distribution
Mean and standard deviation of binomial distribution
Geometric distribution
Hypergeometric distribution
Properties of expectation
video
Normal Distribution and Z-Scores
Introduction to normal distribution
Normal distribution and continuous random variable
Z-scores and random continuous variables
Sampling distributions
Central limit theorem
Rare event rule
video
Confidence Intervals
Point estimates
Confidence levels and critical values
Margin of error
Making a confidence interval
Confidence intervals to estimate population mean
Student's t-distribution
Chi-Squared confidence intervals
video
Hypothesis Testing
Null hypothesis and alternative hypothesis
Proving claims
Confidence levels, significance levels and critical values
Test statistics
Traditional hypothesis testing
P-value hypothesis testing
Mean hypothesis testing with t-distribution
Type 1 and type 2 errors
Chi-square goodness of fit test

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