# CK-12 Probability and Statistics - Advanced

**Advanced**Created by: CK-12

## Table of Contents

- 1. An Introduction to Analyzing Statistical Data
Students learn definitions of statistical terminology, and review data, measures of center, and measures of spread.

- 2. Visualizations of Data
Students explore and learn about histograms and frequency distributions, common graphs and data plots, and box-and-whisker plots.

- 3. An Introduction to Probability
Students explore and learn about events, sample spaces, probability, compound events, the complement of an event, conditional probability, and basic counting rules.

- 4. Discrete Probability Distribution
Students explore and learn about two types of random variables, probability distribution for a discrete random variable, mean and standard deviation of discrete random variables and the Binomial Probability Distribution.

- 5. Normal Distribution
Students explore and learn about the standard normal probability distribution, the density curve of the normal distribution, and applications of the normal distribution.

- 6. Planning and Conducting an Experiment or Study
Students explore and learn about surveys, sampling and experimental design.

- 7. Sampling Distributions and Estimations
This chapter covers sampling distributions and the Central Limit Theorem.

- 8. Hypothesis Testing
Students explore and learn about hypothesis testing and the P-value, testing a proportion hypothesis, testing a mean hypothesis, and testing a hypothesis for dependent and independent samples.

- 9. Regression and Correlation
Students explore and learn about scatterplots and linear correlation, Least-Squares regression, inferences about regression, and an introduction to multiple regression.

- 10. Chi-Square
Students explore and learn about the Goodness-of-Fit test, test of independence, and testing one variance.

- 11. Analysis of Variance and the F-Distribution
Students explore and learn about the F-Distribution and testing two variances, the One-Way ANOVA test, and the Two-Way ANOVA test.

- 12. Non-Parametric Statistics
Students explore nonparametric statistics, the rank sum test and rank Correlation, and the Kruskal-Wallis test.