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Spot biased and fair samples

7th grade (Year 8 in England) · 16 questions · Common Core: 7.SP.A.1 · England: KS3 Statistics

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  1. Question 1

    To check a factory's light bulbs, an inspector tests every 50th bulb made during the day. Is this sample likely to be biased?

    • A. Yes, biased
    • B. No, fair
  2. Question 2

    You want to find out how people in a town travel to work. Which sampling method is the fairest (least biased)?

    • A. Ask drivers at a petrol station
    • B. Ask cyclists in a bike shop
    • C. Choose 100 households at random from the town's address list
    • D. Ask people waiting at a bus stop
  3. Question 3

    To find how much students read, a teacher asks only the book club. Is this sample likely to be biased?

    • A. Yes, biased
    • B. No, fair
  4. Question 4

    You want to find out how people in a town travel to work. Which sampling method is the fairest (least biased)?

    • A. Ask people waiting at a bus stop
    • B. Ask cyclists in a bike shop
    • C. Ask drivers at a petrol station
    • D. Choose 100 households at random from the town's address list
  5. Question 5

    To find how much students read, a teacher asks only the book club. Is this sample likely to be biased?

    • A. Yes, biased
    • B. No, fair
  6. Question 6

    You want to find out which school lunch is most popular. Which sampling method is the fairest (least biased)?

    • A. Ask the first 10 students in the vegetarian queue
    • B. Ask the kitchen staff
    • C. Ask only Year 7
    • D. Ask every 10th student on the register, across all years
  7. Question 7

    To find students' favourite subject, a student council picks 40 names at random from the full school list. Is this sample likely to be biased?

    • A. Yes, biased
    • B. No, fair
  8. Question 8

    You want to find out how people in a town travel to work. Which sampling method is the fairest (least biased)?

    • A. Ask drivers at a petrol station
    • B. Choose 100 households at random from the town's address list
    • C. Ask people waiting at a bus stop
    • D. Ask cyclists in a bike shop
  9. Question 9

    To check a factory's light bulbs, an inspector tests every 50th bulb made during the day. Is this sample likely to be biased?

    • A. Yes, biased
    • B. No, fair
  10. Question 10

    You want to find out how much time students spend on sport. Which sampling method is the fairest (least biased)?

    • A. Ask the football team
    • B. Pick 50 names at random from the whole school list
    • C. Ask people leaving the gym
    • D. Ask only your friends
  11. Question 11

    To find the town's favourite sport, a reporter asks people leaving a tennis club. Is this sample likely to be biased?

    • A. Yes, biased
    • B. No, fair
  12. Question 12

    You want to find out how many hours of sleep teenagers get. Which sampling method is the fairest (least biased)?

    • A. Ask your own class only
    • B. Ask students in the library at 8 am
    • C. Post a poll that only night-owl gamers see
    • D. Use a random number generator to pick students from every year group
  13. Question 13

    To find the town's favourite sport, a reporter asks people leaving a tennis club. Is this sample likely to be biased?

    • A. Yes, biased
    • B. No, fair
  14. Question 14

    You want to find out how people in a town travel to work. Which sampling method is the fairest (least biased)?

    • A. Ask cyclists in a bike shop
    • B. Ask drivers at a petrol station
    • C. Choose 100 households at random from the town's address list
    • D. Ask people waiting at a bus stop
  15. Question 15

    To find the town's favourite sport, a reporter asks people leaving a tennis club. Is this sample likely to be biased?

    • A. Yes, biased
    • B. No, fair
  16. Question 16

    You want to find out how many hours of sleep teenagers get. Which sampling method is the fairest (least biased)?

    • A. Post a poll that only night-owl gamers see
    • B. Use a random number generator to pick students from every year group
    • C. Ask students in the library at 8 am
    • D. Ask your own class only

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Answer key: Spot biased and fair samples

  1. 1. B. No, fair

  2. 2. C. Choose 100 households at random from the town's address list

  3. 3. A. Yes, biased

  4. 4. D. Choose 100 households at random from the town's address list

  5. 5. A. Yes, biased

  6. 6. D. Ask every 10th student on the register, across all years

  7. 7. B. No, fair

  8. 8. B. Choose 100 households at random from the town's address list

  9. 9. B. No, fair

  10. 10. B. Pick 50 names at random from the whole school list

  11. 11. A. Yes, biased

  12. 12. D. Use a random number generator to pick students from every year group

  13. 13. A. Yes, biased

  14. 14. C. Choose 100 households at random from the town's address list

  15. 15. A. Yes, biased

  16. 16. B. Use a random number generator to pick students from every year group