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IB Maths AI SL 4.1 Sampling & data

IB Maths AI SL 4.1 Sampling & data
IB Mathematics: applications and interpretation guide, first assessment 2021

Students practise identifying sampling methods (e.g., stratified, convenience), evaluating sample size trade-offs, and extracting totals or values from frequency tables or survey…

How this is tested

  • state the sampling method when subgroups are proportionally represented in the sample
  • calculate total sample size by summing frequencies across categories in a table
  • explain why one air-quality reading is insufficient for a reliable conclusion

Question 3(a)

[Maximum number: 1]

Abigail is planning an end-of-school celebration. She asks all her classmates to choose both a main course and an ice cream flavour.
She organizes the replies from her classmates into the following table.

Table for Question 3(a) — IB Maths AI SL

Find the total number of classmates who replied.

Abigail performs a χ2\chi^{2} test for independence at the 5 % significance level to see if the main course choice is independent of the ice cream flavour choice.