Unit 4: Statistics and Probability
Topic 4.1: Types of Data and Sampling Questions
Practice 20 exam-style questions for IB Math AI SL Topic 4.1. Review the question stems below, then unlock the full Question Bank to access markschemes, model answers, and AI grading.
1classify3 marks
State the data type for each: (a) student''s favourite subject, (b) goals scored in a match, (c) time to complete a race in seconds.
Markscheme and model answer locked
Unlock Question2find1 mark
Given Q1 = 50 and IQR = 20, the lower outlier bound is:
Markscheme and model answer locked
Unlock Question3identify2 marks
Repeated weighings of the same object give 102.1, 101.9, 102.0, 102.2, 101.8 grams. Identify the error type.
Markscheme and model answer locked
Unlock Question4classify3 marks
Classify each variable as qualitative, discrete quantitative, or continuous quantitative: (a) eye colour, (b) number of cars in a car park, (c) weight of a parcel in kg.
Markscheme and model answer locked
Unlock Question5find3 marks
A factory list of 2400 components needs a systematic sample of 80. (a) Find the sampling interval k. (b) If the random start is 17, list the first three components selected.
Markscheme and model answer locked
Unlock Question6find3 marks
Given Q1 = 20, Q3 = 32, identify which of the following are outliers: 5, 15, 35, 55, 60.
Markscheme and model answer locked
Unlock Question7identify3 marks
A factory has 320 workers in three shifts: morning (160), afternoon (96), night (64). A stratified sample of 40 workers is taken. State the number of workers selected from each shift.
Markscheme and model answer locked
Unlock Question8identify2 marks
A thermometer reads 1°C higher than the true temperature, every time. State the type of error and one way to correct it.
Markscheme and model answer locked
Unlock Question9identify2 marks
State two ways to MINIMISE random measurement error in a science experiment.
Markscheme and model answer locked
Unlock Question10identify2 marks
A questionnaire asks: ''Do you agree that the school''s policy on phones is too strict?'' Identify and explain the bias.
Markscheme and model answer locked
Unlock Question11identify2 marks
A library has 800 members. The librarian wants a systematic sample of 40 members. Find the sampling interval k.
Markscheme and model answer locked
Unlock Question12find3 marks
A school of 1500 students consists of 500 Year 11, 600 Year 12, and 400 Year 13. A stratified sample of 75 students is required. Find the number of students from each year group in the sample.
Markscheme and model answer locked
Unlock Question13identify1 mark
A research project asks: ''Do you agree that the government''s wasteful spending policies should be reduced?'' Identify the issue.
Markscheme and model answer locked
Unlock Question14find3 marks
A dataset has Q1 = 12, Q3 = 28. Calculate the IQR and find the lower and upper outlier bounds.
Markscheme and model answer locked
Unlock Question15identify2 marks
A company has 1500 employees. Quality control wants to interview 75 employees systematically. State the sampling interval and explain how the start is chosen.
Markscheme and model answer locked
Unlock Question16identify2 marks
A health survey of 30 people aims to estimate the average blood pressure of all adults in a country. Comment on the sample size.
Markscheme and model answer locked
Unlock Question17identify2 marks
A journalist surveys ''public opinion'' by stopping people in a wealthy shopping district at 11 am on a Wednesday. State two sources of bias.
Markscheme and model answer locked
Unlock Question18identify1 mark
State one advantage of stratified sampling over simple random sampling.
Markscheme and model answer locked
Unlock Question19identify2 marks
A list of 600 items needs a systematic sample. The first item selected is item number 7, and the interval k = 12. Find the second and third items selected.
Markscheme and model answer locked
Unlock Question20find2 marks
State two statistics that are RESISTANT to outliers and two that are HIGHLY AFFECTED by outliers.
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 AI SL topics.