Course

IB Mathematics SL – Statistics and Probability

International Baccalaureate
Mathematics Standard Level

Topic 5: Statistics and Probability

5.1 Statistics
5.2 Probability
5.3 Discrete Random Variables
5.4 Binomial Distribution
5.5 Normal Distribution
5.6 Linear Correlation

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40 Lessons




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Course Materials

5.1 STATISTICS

Key Statistical Concepts

Measuring the Centre of Data

Range and Interquartile Range

Box-and-Whisker Plots

Cumulative Frequency Graphs and Ogive

Variance and Standard Deviation

5.2 PROBABILITY

Experimental Probability

Sample Space

Theoretical Probability

Using Grids

Tables of Outcomes or Two-Way Tables

Tree Diagrams

Sampling with and without Replacement

Sets and Venn Diagrams

Laws of Probability

Conditional Probability

Independent Events

5.3 DISCRETE RANDOM VARIABLES

Discrete Random Variables

Discrete Probability Distributions

Expectation

Fair Games and Expectation

5.4 BINOMIAL DISTRIBUTION

Binomial Distribution

Binomial Probability Distribution Function

Mean and Standard Deviation of Binomial Random Variable

5.5 NORMAL DISTRIBUTION

Normal Distribution

z-Scores

Using z-Scores to Compare Data

Standard Normal Distribution

Inverse Cumulative Normal Distribution Quantiles

5.6 LINEAR CORRELATION

Scatter Plots

Pearson’s Correlation Coefficient

Line of Best Fit

Least Squares Regression Line

Interpolation and Extrapolation