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.

   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?

   • Run B is closer to 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.
   • Neither run can be compared with the bag's blue share.

2. 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.

3. 2.

   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?

   • Neither run can be compared with 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.
   • Run A is closer to the bag's blue share.

4. 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.

5. 3.

   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?

   • 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.
   • Neither run can be compared with the bag's blue share.
6. 4.

   Noah 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 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.
7. 5.

   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?

   • 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.
   • Both runs are equally close because they use the same sample size.

8. 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.

9. 6.

   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?

   • Neither run can be compared with 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.
   • Run A is closer to the bag's blue share.
10. 7.

    Zee 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?

    • Both runs are equally close because they use the same sample size.
    • Neither run can be compared with the bag's blue share.
    • Run A is closer to the bag's blue share.
    • Run B is closer to the bag's blue share.
11. 8.

    1, 2, 3, 2, 2, 3, 2, 3. Draw without looking each time. Ari has a bag of 20 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?

    9
12. 9.

    4, 2, 2, 3, 3, 3, 3, 4. Draw without looking each time. Esme has a bag of 20 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?

    12
13. 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