Master AP Statistics

Classification of data

Sampling methods

Census and bias

Frequency distribution and histograms

Frequency polygons

Shapes of distributions

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

Addition rule for "OR"

Multiplication rule for "AND"

Conditional probability

Probability with permutations and combinations

Law of total probability

Bayes' rule

Set notation

Set builder notation

Intersection and union of 2 sets

Intersection and union of 3 sets

Probability distribution - histogram, mean, variance & standard deviation

Binomial distribution

Mean and standard deviation of binomial distribution

Geometric distribution

Hypergeometric distribution

Properties of expectation

Introduction to normal distribution

Normal distribution and continuous random variable

Z-scores and random continuous variables

Sampling distributions

Central limit theorem

Rare event rule

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

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