All mind maps topics

4.1 Sampling, data quality and outliersIB Maths: Applications and Interpretation SL: Mind map

Population and data
Reliability and bias
Sampling methods

Sampling and data quality

population to sample

randombiasoutliers
Convenience
Outliers
Errors and missing data

Exam questions on 4.1 Sampling, data quality and outliers

  1. A council wants to find out how its residents travel to work. A researcher stands outside the main railway station one morning and questions the first 80 people who walk past. The council has 12 000 residents on its electoral register.
    Describe how the council could take a simple random sample of 80 residents from the electoral register.2 marks
  2. A sports club has 600 members: 240 juniors, 210 adults and 150 seniors. The club takes a stratified sample of 80 members for a survey about its facilities.
    Explain why a stratified sample is more suitable than a simple random sample for this survey.2 marks
  3. Eleven students record the time, in minutes, they take to finish a puzzle: 12, 14, 15, 15, 17, 18, 19, 21, 22, 24, 41. The student who took 41 minutes says she forgot to stop her timer. Use your GDC to find quartiles.
    Find the interquartile range (IQR) of the times.3 marks
See the full worksheet

Written by the Exaim team, led by Shaun Daswani (Head of Upper Secondary, Improve ME Institute; MSc Financial Mathematics, Imperial College London; BSc, UCL) and Jason Daswani (operational lead, Improve ME Institute; LSE).