For IndividualsFor Educators
ExpertMinds LogoExpertMinds
ExpertMinds

Ace your certifications with Practice Exams and AI assistance.

  • Browse Exams
  • For Educators
  • Blog
  • Privacy Policy
  • Terms of Service
  • Cookie Policy
  • Support
  • AWS SAA Exam Prep
  • PMI PMP Exam Prep
  • CPA Exam Prep
  • GCP PCA Exam Prep

© 2026 TinyHive Labs. Company number 16262776.

    PracticeAQA GCSEAQA GCSE Statistics Higher Tier Paper 2Question 03
    Easy1 markMultiple Choice
    Data Collection and Sampling Methodssamplingsystematic samplingHigher

    AQA GCSE · Question 03 · Data Collection and Sampling Methods

    Olivia wants to obtain a systematic sample of size 40 from a population of 2000 competitors in a race. She numbers the competitors from 1 to 2000 and uses, as a starting point, competitor number 11. Circle the correct competitor number of the next person in her sample.

    Answer options:

    A.

    12

    B.

    21

    C.

    51

    D.

    61

    How to approach this question

    First, calculate the sampling interval (k) by dividing the population size by the desired sample size. Then, add this interval to the starting number to find the next person in the sample. \n1. Population size (N) = 2000. \n2. Sample size (n) = 40. \n3. Calculate interval: k = N / n. \n4. Next person = Starting number + k.

    Full Answer

    D.61✓ Correct
    Systematic sampling involves selecting items from an ordered population using a fixed, periodic interval. \n1. Calculate the sampling interval (k): k = Population size / Sample size = 2000 / 40 = 50. \n2. The starting point is given as competitor number 11. \n3. To find the next person in the sample, add the interval to the starting point: Next number = 11 + 50 = 61. The sample would consist of competitors 11, 61, 111, 161, and so on.

    Common mistakes

    ✗ Using the sample size (40) as the interval.\n✗ Simply adding 10 or 1 to the starting number.\n✗ Incorrectly calculating the interval (e.g., 40 / 2000).
    Question 02All questionsQuestion 04

    Practice the full AQA GCSE Statistics Higher Tier Paper 2

    43 questions · hints · full answers · grading

    Sign up freeTake the exam

    More questions from this exam

    Q01A fair coin is tossed four times. Circle the probability of getting 'tails' on all 4 tosses.EasyQ02Which one of these is **not** a measure of spread?EasyQ04Which statistical term means 'the extent to which something gives results that are consistent'?EasyQ05.1BMI stands for Body Mass Index and is based on your height and mass. Louise and William have this...EasyQ05.2The graph shows the average adult BMI over recent years. A healthy BMI is considered to be betwee...Medium
    View all 43 questions →