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IB Maths AI HL Sl 4 3 Summary Statistics Questions

Practise calculating mean, median, grouped-data estimates, variance, standard deviation and IQR, including how shifting or scaling data changes spread.

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

Exam points

  • Calculate or estimate mean, median, mode/modal class and grouped-data mean from a dataset or frequency table.
  • Calculate and interpret variance, standard deviation, range or IQR, using technology where appropriate.
  • Explain how adding, subtracting or scaling all data values changes summary statistics and spread.

Learn this topic

Study SL 4.3—Summary statistics conceptsOpen the corresponding Concept lesson for explanations, examples and exam connections.

IB Maths AI HL Sl 4 3 Summary Statistics Questions 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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