HSC Year 12 Mathematics Advanced Statistical Analysis
Course

HSC Year 12 Mathematics Advanced – Statistical Analysis

5.1 Descriptive Statistics
5.2 Exploring Data
5.3 Bivariate Data
5.4 Normal Distribution

37 Lessons

Course Materials

DESCRIPTIVE STATISTICS

Types of Data

Key Statistical Concepts

Measuring the Centre of Data

Choosing the Appropriate Measure

Mean from Data in Class

Median

Mean

Mode

EXPLORING DATA

Range and Interquartile Range

Standard Deviation

Outliers, Shapes and Skewness

Comparing Spread using Standard Deviation

Variance and Standard Deviation

Cumulative Frequency Graphs and Ogive

Box-and-Whisker Plots

Double Box-and-Whisker Plots

BIVARIATE DATA

Correlation Coefficient

Line of Best Fit

Least Squares Regression Line

Interpolation and Extrapolation

Discrete Random Variables

Discrete Probability Distributions

Expectation

Continuous Probability Density Functions

Measures of Central Tendency and Spread for a Continuous Random Variable

NORMAL DISTRIBUTION

Normal Distribution

Probabilities using a Calculator

Standard Normal Distribution

z-Scores

Using z-Scores to Compare Data

Applications of Normal Distribution

Properties of Normal Distribution

Inverse Cumulative Normal Distribution Quantiles