Extended

Extended level statistics and probability for IB MYP Year 5. Covers correlation, conditional probability, histograms and combinatorics beyond Standard level.

Topics in this Subunit

Correlation
Understand Pearson's correlation coefficient, interpret r values and distinguish causation from correlation. IB MYP Year 5 Extended Maths statistics guide.
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Histograms & Scatter Graphs
Master frequency density histograms and complex scatter graphs for IB MYP Year 5 Extended Maths. Includes grouped data, unequal class widths and common errors.
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Conditional Probability
Understand P(A|B), two-way tables and conditional probability in real contexts. IB MYP Year 5 Extended Maths — clear formula, worked logic and common errors.
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Probability Systems
Learn systematic listing, permutations and combinations for IB MYP Year 5 Extended Maths. Structured approach to counting outcomes and probability problems.
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Further Probability
Master multi-step probability trees, mutually exclusive vs independent events for IB MYP Year 5 Extended Maths. Advanced probability guidance for Year 5 students.
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Who Extended Level Is For

Extended level is the more demanding mathematics pathway in MYP Year 5. It is suited to students who are comfortable with algebraic reasoning and are likely to pursue IB Diploma Mathematics: Analysis and Approaches or Applications and Interpretation at Higher Level.

What Extended Adds to Standard

Extended students cover all Standard content and go further into the quantitative and theoretical dimensions of statistics and probability. The focus shifts from description to analysis — you are expected to evaluate models, interpret coefficients, and reason through multi-step probability problems.

Topics in the Extended Pathway

Assessment Relevance

Extended statistics and probability tasks are frequently multi-part, combining calculation with interpretation. Criterion B (Investigating Patterns) and Criterion D (Real-Life Contexts) are both heavily tested. Be prepared to justify your reasoning, not just present answers.

Frequently asked questions

Extended pushes well past basic data handling. You work with histograms with unequal class widths (using frequency density), interpret scatter graphs with correlation strength and direction, and calculate conditional probability using formal notation like P(A|B). Extended also introduces probability systems — combining tree diagrams, Venn diagrams, and two-way tables to solve multi-stage problems — plus further probability involving independent vs dependent events.
Strongly recommended preparation for IB DP Mathematics: Applications and Interpretation (AI) — both SL and HL — where statistics is a major content strand including regression, chi-squared tests, and probability distributions. Also genuinely useful for Mathematics: Analysis and Approaches (AA), especially HL, where conditional probability and discrete distributions appear. Students taking AI HL or AA HL who skipped Extended often struggle with the statistical reasoning load.
Extended questions are multi-step and context-heavy. Instead of 'find the mean,' you might be asked to compare two datasets using frequency density histograms, then justify which has greater spread. Conditional probability problems often combine Venn diagrams with worded scenarios — you must extract probabilities, apply P(A|B) = P(A∩B)/P(B), and interpret. Expect Criterion C and D to carry more weight, meaning answers need clear working and contextual interpretation.
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