Unit 4: Statistics and Probability
Topic 4.1: Sampling Questions
Practice 16 exam-style questions for IB Math AA SL Topic 4.1. Review the question stems below, then unlock the full Question Bank to access markschemes, model answers, and AI grading.
1Explain2 marks
2026• Aimnova practice — 4.1.1
Explain the difference between a population and a sample, using an example.
Markscheme and model answer locked
Unlock Question2State2 marks
2026• Aimnova practice — 4.1.2
A production line makes 2000 items per shift. A quality team checks every 25th item.
Markscheme and model answer locked
Unlock Question3Explain1 mark
2026• Aimnova practice — 4.1.1
A company has 6000 customers. Explain one reason it would survey a sample of its customers rather than all of them.
Markscheme and model answer locked
Unlock Question4Explain2 marks
2026• Aimnova practice — 4.1.1
Explain what it means for a sample to be representative of a population.
Markscheme and model answer locked
Unlock Question5State2 marks
2026• Aimnova practice — 4.1.1
A water company wants the mean daily water use of the 8000 households in a town. It records the use of 250 households for one day.
Markscheme and model answer locked
Unlock Question6Identify1 mark
2026• Aimnova practice — 4.1.2
A library has 1200 members. A sample of 60 is chosen using computer-generated random numbers. Name the sampling technique used.
Markscheme and model answer locked
Unlock Question7State3 marks
2026• Aimnova practice — 4.1.1
A school has 1500 students. The head teacher surveys 120 of them about lunch options.
Markscheme and model answer locked
Unlock Question8Explain2 marks
2026• Aimnova practice — 4.1.2
Explain the difference between simple random sampling and systematic sampling.
Markscheme and model answer locked
Unlock Question9Find3 marks
2026• Aimnova practice — 4.1.2
A college has 800 arts students and 1200 science students. A stratified sample of 50 students is taken. Find the number of science students in the sample.
Markscheme and model answer locked
Unlock Question10State2 marks
2026• Aimnova practice — 4.1.2
An interviewer is told to survey exactly 15 men and 15 women, choosing whoever is willing to take part.
Markscheme and model answer locked
Unlock Question11Explain2 marks
2026• Aimnova practice — 4.1.1
A manufacturer tests the breaking strength of climbing ropes. Explain why it does not test every rope it makes.
Markscheme and model answer locked
Unlock Question12Explain2 marks
2026• Aimnova practice — 4.1.1
A radio station asks listeners to phone in to give their opinion on a new local law. Give one reason the resulting sample may be unreliable.
Markscheme and model answer locked
Unlock Question13Explain2 marks
2026• Aimnova practice — 4.1.1
A biologist estimates the mean wingspan of a butterfly species by catching 60 of them in a single meadow on one afternoon. Give one reason the estimate may be unreliable.
Markscheme and model answer locked
Unlock Question14Find3 marks
2026• Aimnova practice — 4.1.2
A school has 300 Year 1, 250 Year 2 and 200 Year 3 students (750 in total). A stratified sample of 30 is taken. Find how many come from each year.
Markscheme and model answer locked
Unlock Question15State3 marks
2026• Aimnova practice — 4.1.2
A researcher collects data by stopping the first 40 shoppers she meets at a mall entrance.
Markscheme and model answer locked
Unlock Question16Find3 marks
2026• Aimnova practice — 4.1.2
A systematic sample of 25 is to be taken from 500 people. Find the sampling interval and describe how to choose the sample.
Markscheme and model answer locked
Unlock QuestionReady to practice Topic 4.1?
Get instant AI feedback on your answers, view detailed markschemes, and track your progress across all IB Math AA SL topics.