IB Mathematics Applications and Interpretation SL Statistics and Probability

IB Mathematics Applications and Interpretation SL – Statistics and Probability

4.1 Descriptive Statistics
4.2 Representing Data
4.3 Exploring Data
4.4 Linear Correlation
4.5 Probability
4.6 Expectation
4.7 Binomial Distribution
4.8 Normal Distribution
4.9 Hypothesis Testing

72 Lessons

The aim of the standard level content in the statistics and probability topic is to introduce students to important concepts, techniques and representations used in statistics and probability and their meaningful application in the real world. Students should be given the opportunity to approach this topic in a practical way, to understand why certain techniques are used and to interpret the results. The use of technology such as simulations, spreadsheets, statistics software and statistics apps can greatly enhance this topic.
It is expected that most of the calculations required will be carried out using technology, but explanations of calculations by hand may enhance understanding. The emphasis is on choosing the most appropriate technique, and understanding and interpreting the results obtained in context.
In examinations, students should be familiar with how to use the statistics functionality of allowed technology.
At SL the data set will be considered to be the population unless otherwise stated

Mathematics: applications and interpretation guide


Populations and Samples


Mean from Data in Class

Samples and Sampling


Outliers, Shapes and Skewness




Range and Interquartile Range

Measures of Central Tendency and Spread for a Continuous Random Variable

Standard Deviation

Comparing Spread using Standard Deviation

Variance and Standard Deviation


Frequency Tables

Frequency Histogram and Frequency Polygons

Cumulative Frequency Polygon

Cumulative Frequency Graphs and Ogive

Box-and-Whisker Plots

Double Box-and-Whisker Plots


Correlation Coefficient

Line of Best Fit

Least Squares Regression Line


Introduction to Probability

Relative Frequency

Experimental Probability

Sample Space

Theoretical Probability

Fair Games

Laws of Probability

Complementary Events

Sets and Venn Diagrams

Tree Diagrams

Using Grids

Tables of Outcomes or Two-Way Tables

Mutually Exclusive Events

Conditional Probability

Dependent Events

Independent Events

Probability with Ordering Events

Sampling With Replacement

Sampling Without Replacement


Expectation Theory

Expected Value

Fair Games and Expectation

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