# Statistics Curriculum

**Description**

Statistics

Graphs and Statistical Presentation

Visually Representing Numerical Data, Splitting up the Whole with Pie Graphs , Showing the Overlap with Venn Diagrams, Comparing Categories with Bar Graphs, Seeking Trends with Line Graphs, Showing Orderly Data with Histograms, Functions as Graphs in the Coordinate System

An Overview of Statistics

Unit Preview, What is Statistics?, What is Probability?, Methods of Collecting, Representing, and Displaying Data, Basic Methods of Describing Data, Basic Methods of Describing Variability

Measures of Central Tendencies

Unit Preview, Frequency Distribution Table, Summation Notation, and Mean Formula, Geometric Mean, Harmonic Mean, and Weighted Arithmetic Mean, Position Formula and Finding Median in Frequency Distribution Table

Measures of Dispersion (Positions)

Unit Preview, Data Classification, Range, and Midrange, Quartiles, Deciles, and Percentiles, Boxplot, Interquartile Range, and Midhinge

Graphic Shapes of Data

Unit Preview, Paired Data Sets and Scatterplots, Correlations, Regression Models and Least Square Methods

Basics of Probability and Counting Methods

Unit Preview, Fundamental Counting Principle, Factorial, Permutation and Combination, Sample Space, Basics of Probability

Relationships of Probability

Unit Preview, Probability of Events, Relationships Between Events, Geometric Probability

Conditional Probability and Relationships Between Events

Unit Preview, Conditional Probability, Independent and Dependent Events, Expected Value

Probability Distribution

Unit Preview, Discrete Probability Distribution, Mean and Variance of Random Variable, Standard Deviation of Random Variable