Random samples from a known group

Answer Key - Grade 8 Math Worksheet - Challenge Me

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

1. 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. 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. 3.

   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. 4.

   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. 5.

   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. 6.

   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. 7.

    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. 8.

    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. 9.

    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. 10.

    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?

    21