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IB Maths AI HL 4.3 Summary statistics Question Bank

Practise IB Mathematics SL/HL 4.3 by applying summary statistics methods to exam-style questions.

Syllabus
First assessment 2021
Course
Mathematics: applications and interpretation HL
Level
HL

Exam points

  • identify the mathematical structure, variable or representation
  • select and apply the correct theorem, formula or algorithm
  • check the result using units, domain, graph or logical reasoning

SL 4.3—Summary statistics question 1

[Maximum number: 2]

Juliet is a sociologist who wants to investigate if income affects happiness amongst doctors. This question asks you to review Juliet's methods and conclusions.
Juliet obtained a list of email addresses of doctors who work in her city. She contacted them and asked them to fill in an anonymous questionnaire. Participants were asked to state their annual income and to respond to a set of questions. The responses were used to determine a happiness score out of 100 . Of the 415 doctors on the list, 11 replied.

For the remaining ten responses in the table, Juliet calculates the mean happiness score to be 52.5.

Calculate the mean annual income for these remaining responses.

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