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NotesMath AI SLTopic 4.10
Unit 4 ยท Statistics and Probability ยท Topic 4.10

IB Math AI SL โ€” Spearman rank correlation coefficient

IB Mathematics AI SL topic covering core concepts and exam-style applications.

Exam technique guidePractice questions

Key concepts in Spearman rank correlation coefficient

Key Idea: Before you can analyse data, you need to understand what kind of data you have and how it was collected. Topic 4.1 covers the vocabulary of statistics: population vs sample, types of data, and sampling methods. Getting these right matters because the method of collection affects the validity of any conclusions you draw.

โœ… Types of data


โœ… Population and sampling

Reliability: A random sample tends to produce reliable results (low bias) if it is large enough. Non-random methods are faster but less reliable. Outlier impact: A single extreme value (outlier) can distort the mean significantly. Always identify outliers before drawing conclusions.
Paper 1: Questions often ask you to identify data type or explain why a sampling method is biased. Write a specific reason โ€” 'convenience sampling means people who are easy to reach are over-represented' earns the mark; vague answers do not. Paper 2: You may need to calculate sample size per stratum. Divide: n_stratum = (stratum size / population size) ร— total sample size.

What you'll learn in Topic 4.10

  • 4.10.1 Spearman Rank Correlation
Suggested study order: Read the notes for each sub-topic below โ†’ test yourself with flashcards โ†’ attempt practice questions โ†’ review exam technique.

Study resources โ€” 4.10 Spearman rank correlation coefficient

4.10.1

Spearman Rank Correlation

Notes

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Topic 4.10 Spearman rank correlation coefficient forms a core part of Unit 4: Statistics and Probability in IB Math AI SL. Mastering these concepts will strengthen your understanding of connected topics across the syllabus and prepare you for exam questions that require analysis, evaluation, and real-world application.

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