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IB Maths AI HL 4.9 Normal distribution Question Bank

Practise IB Mathematics SL/HL 4.9 by applying normal distribution 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 4.9—Normal distribution question 1

[Maximum number: 3]

This question considers how the assessment of the Air Quality Index (AQI) for a school depends on the method chosen by the person doing the assessing.
Air quality for a district is measured at three monitoring stations. The positions of these stations on a coordinate system with units in kilometres are A(0,5), B(8,9) and C(8,1).
A Voronoi diagram is constructed with the three stations as sites.

Figure for Question SL 4.9—Normal distribution question 1 — IB Maths AI HL

Use this model to find the expected number of days per year (correct to the nearest day) on which the AQI value can be classed as "good".

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