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Grade 8 · Math

8th grade Random samples from a known group worksheet

6 printable versionsChallenge Me10 questions · answer keyFree · no account

Level: Building Confidence · On Level · Challenge Me

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Random samples from a known group

Grade 8 Math Worksheet - Challenge Me

NameDate

Circle the best answer, or write your answer on the line.

  1. Ari compares two runs of four random samples of six from a bag with 3 blue of 12. Which run's combined blue share is closer to the bag's makeup?

    • Run A is closer to the bag's blue share.
    • Both runs are equally close because they use the same sample size.
    • Run B is closer to the bag's blue share.
    • Neither run can be compared with the bag's blue share.
  2. Bo compares two runs of four random samples of six from a bag with 4 blue of 12. Which run's combined blue share is closer to the bag's makeup?

    • Both runs are equally close because they use the same sample size.
    • Run A is closer to the bag's blue share.
    • Neither run can be compared with the bag's blue share.
    • Run B is closer to the bag's blue share.
  3. Read this first

    Population dot plot

    5 blue, 7 yellow. Four sample plots per run; blue counts A: 0, 1, 5, 5; B: 1, 3, 5, 5. Return all counters before each sample.

  4. Esme compares two runs of four random samples of six from a bag with 5 blue of 12. Which run's combined blue share is closer to the bag's makeup?

    • Both runs are equally close because they use the same sample size.
    • Run B is closer to the bag's blue share.
    • Run A is closer to the bag's blue share.
    • Neither run can be compared with the bag's blue share.
  5. Jun compares two runs of four random samples of six from a bag with 7 blue of 12. Which run's combined blue share is closer to the bag's makeup?

    • Neither run can be compared with the bag's blue share.
    • Run B is closer to the bag's blue share.
    • Both runs are equally close because they use the same sample size.
    • Run A is closer to the bag's blue share.
  6. Kira compares two runs of four random samples of six from a bag with 8 blue of 12. Which run's combined blue share is closer to the bag's makeup?

    • Neither run can be compared with the bag's blue share.
    • Both runs are equally close because they use the same sample size.
    • Run A is closer to the bag's blue share.
    • Run B is closer to the bag's blue share.
  7. Population dot plot

    9 blue, 3 yellow. Four sample plots per run; blue counts A: 4, 6, 6, 6; B: 3, 4, 6, 6. Return all counters before each sample.

  8. Luz compares two runs of four random samples of six from a bag with 9 blue of 12. Which run's combined blue share is closer to the bag's makeup?

    • Neither run can be compared with the bag's blue share.
    • Run A is closer to the bag's blue share.
    • Both runs are equally close because they use the same sample size.
    • Run B is closer to the bag's blue share.
  9. Population dot plot

    5 blue, 7 yellow. Four sample plots per run; blue counts A: 0, 0, 4, 5; B: 1, 0, 0, 5. Return all counters before each sample.

  10. Pia compares two runs of four random samples of six from a bag with 5 blue of 12. Which run's combined blue share is closer to the bag's makeup?

    • Run B is closer to the bag's blue share.
    • Neither run can be compared with the bag's blue share.
    • Run A is closer to the bag's blue share.
    • Both runs are equally close because they use the same sample size.
  11. Ren compares two runs of four random samples of six from a bag with 7 blue of 12. Which run's combined blue share is closer to the bag's makeup?

    • Neither run can be compared with the bag's blue share.
    • Run A is closer to the bag's blue share.
    • Both runs are equally close because they use the same sample size.
    • Run B is closer to the bag's blue share.
  12. Population dot plot

    8 blue, 4 yellow. Four sample plots per run; blue counts A: 2, 2, 5, 6; B: 3, 2, 2, 5. Return all counters before each sample.

  13. Tala compares two runs of four random samples of six from a bag with 8 blue of 12. Which run's combined blue share is closer to the bag's makeup?

    • Both runs are equally close because they use the same sample size.
    • Run A is closer to the bag's blue share.
    • Run B is closer to the bag's blue share.
    • Neither run can be compared with the bag's blue share.
  14. 3, 3, 3, 3, 4, 4, 4, 4. Draw without looking each time. Jun has a bag of 30 blue and yellow counters. Eight random samples of five, with returns between samples, have the blue counts shown. About how many bag counters are blue?

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8th grade Random samples from a known group worksheet – printable
Print: 123456

About this worksheet

Random samples that represent a group. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can use the known bag's dots to predict about how many blue draws a run would have.
  • I can combine several equal-size samples and find the share that was blue.
  • I can explain why random samples differ while their combined share can be near the bag’s share.
  • I can judge a sample by how it was drawn: without looking or picked by hand.
  • I can compare two runs with the known bag and estimate a bag from combined samples.

Standard: state-only (CCSS 7.SP.A.1–2)

Words to know

population: The whole bag of counters; every counter is one dot.

random sample: Counters drawn without looking, so each counter has a fair chance.

run: Several samples drawn in the same way.

expected count: About how many blue draws match the bag's blue share over a whole run.

combined share: Blue dots in all samples divided by all sampled dots.

Common mistakes

Your child counted the other color. Ask which dot stack the question names.

Your child assumed half the dots are blue. Compare the blue stack with all the dots.

Your child treated the bag's blue count as the blue count in every smaller sample. Scale each sample first.

Questions parents ask

What is the most common mistake with random samples from a known group?

Your child counted the other color. Ask which dot stack the question names.

Are these 8th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

More grade 8 math

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