IB Math AI HL · 2021 to 2025

4.11 Expected, observed, hypotheses, chi-squared, goodness of fit, and t-test

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HL archive · 2021 to 2026

4.11 Expected, observed, hypotheses, chi-squared, goodness of fit, and t-test

Latest exam session: May 2026

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By year3micro-topics

Micro-topics in 4.11 Expected, observed, hypotheses, chi-squared, goodness of fit, and t-test

In syllabus order. The ring is the share of papers each appears in.

  • 19

    4.11.1

    Contingency Tables and Chi-Squared

    28 questions · in 19% of papers

    Rising

    last May 26 P3 TZ3

  • 25

    4.11.2

    Chi-Squared Goodness of Fit

    52 questions · in 25% of papers

    Regular

    last May 26 P3 TZ3

  • 14

    4.11.3

    Two-Sample t-Test

    30 questions · in 14% of papers

    Occasional

    last May 26 P3 TZ2

Exam pattern

How often each micro-topic has been examined, year by year. Each label is explained under the grid.

Does it repeat?

Questions per year for each micro-topic.

fewermore

Micro-topic202120222023202420252026
4.11.1Contingency Tables and Chi-SquaredRising · last May 26 P3 TZ3
2Contingency Tables and Chi-Squared, 2021: 2 questions3Contingency Tables and Chi-Squared, 2022: 3 questions4Contingency Tables and Chi-Squared, 2023: 4 questions5Contingency Tables and Chi-Squared, 2024: 5 questions7Contingency Tables and Chi-Squared, 2025: 7 questions7Contingency Tables and Chi-Squared, 2026: 7 questions
4.11.2Chi-Squared Goodness of FitRegular
13Chi-Squared Goodness of Fit, 2021: 13 questions12Chi-Squared Goodness of Fit, 2022: 12 questions10Chi-Squared Goodness of Fit, 2023: 10 questions6Chi-Squared Goodness of Fit, 2024: 6 questions5Chi-Squared Goodness of Fit, 2025: 5 questions6Chi-Squared Goodness of Fit, 2026: 6 questions
4.11.3Two-Sample t-TestOccasional
5Two-Sample t-Test, 2021: 5 questions1Two-Sample t-Test, 2022: 1 question3Two-Sample t-Test, 2023: 3 questions2Two-Sample t-Test, 2024: 2 questions12Two-Sample t-Test, 2025: 12 questions7Two-Sample t-Test, 2026: 7 questions
  • Risingappearing more often in the last two years than before
  • Regularin roughly one paper in six or more
  • Occasionalin about one paper in ten

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Questions on 4.11 Expected, observed, hypotheses, chi-squared, goodness of fit, and t-test, by exam session

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Frequently asked questions

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Which Math AI HL exam sessions are covered for 4.11 Expected, observed, hypotheses, chi-squared, goodness of fit, and t-test?

12 exam sessions from 2021 to 2026, the latest May 2026. Every Paper 1, 2 and 3 in every timezone is read and classified in full, which gives 28 papers in this archive.

Which 4.11 Expected, observed, hypotheses, chi-squared, goodness of fit, and t-test topic comes up most?

Contingency Tables and Chi-Squared (4.11.1): in 19% of papers, last seen May 26 P3 TZ3. Usually "State", worth about 5.4 marks in a paper that includes it.

Can I see the original question and mark scheme?

No. The wording belongs to the IB. You get the citation, the marks, the command term and the skill tested, plus our own matched practice questions with worked answers and AI marking.

What do "banker", "due" and "rising" mean?

Banker: examined in at least one sitting in four and still appearing. Due: regular before, but absent for the last two exam sessions. Rising: clearly more common in the last two years. Our classification of real papers, not an IB statistic.

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