Random samples from a known group
Grade 8 Math Worksheet - Challenge Me

Circle the best answer, or write your answer on the line.
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.
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?
Population dot plot: 4 blue, 8 yellow. Four sample plots per run; blue counts A: 1, 3, 4, 4; B: 0, 1, 4, 4. Return all counters before each sample. Population dot plot: 4 blue, 8 yellow. Four sample plots per run; blue counts A: 1, 3, 4, 4; B: 0, 1, 4, 4. Return all counters before each sample. Population dot plot 0 2 4 6 8 4 blue 8 yellow Four sample plots per run run sample 1 sample 2 sample 3 sample 4 A 1 3 4 4 B 0 1 4 4 Return all counters before each sample. - 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.
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.
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.
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?
Population dot plot: 7 blue, 5 yellow. Four sample plots per run; blue counts A: 2, 4, 6, 6; B: 1, 2, 6, 6. Return all counters before each sample. Population dot plot: 7 blue, 5 yellow. Four sample plots per run; blue counts A: 2, 4, 6, 6; B: 1, 2, 6, 6. Return all counters before each sample. Population dot plot 0 2 4 6 population blue yellow 7 blue, 5 yellow. Run A 0 1 2 3 4 5 6 2 sample 1 4 sample 2 6 sample 3 6 sample 4 Four sample plots per run; blue counts A. Return all counters before each sample. Run B 0 1 2 3 4 5 6 1 sample 1 2 sample 2 6 sample 3 6 sample 4 Four sample plots per run; blue counts B. Return all counters before each sample. - 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.
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?
Population dot plot: 8 blue, 4 yellow. Four sample plots per run; blue counts A: 2, 3, 6, 6; B: 3, 5, 6, 6. Return all counters before each sample. Population dot plot: 8 blue, 4 yellow. Four sample plots per run; blue counts A: 2, 3, 6, 6; B: 3, 5, 6, 6. Return all counters before each sample. Population dot plot 0 2 4 6 8 counters blue yellow A 0 2 4 6 2 sample 1 3 sample 2 6 sample 3 6 sample 4 B 0 2 4 6 3 sample 1 5 sample 2 6 sample 3 6 sample 4 Four sample plots per run; blue counts. Return all counters before each sample. - 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.
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.
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.
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.
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.
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?
Population dot plot: 7 blue, 5 yellow. Four sample plots per run; blue counts A: 2, 1, 1, 6; B: 1, 1, 5, 6. Return all counters before each sample. Population dot plot: 7 blue, 5 yellow. Four sample plots per run; blue counts A: 2, 1, 1, 6; B: 1, 1, 5, 6. Return all counters before each sample. Population dot plot 0 2 4 6 7 blue 5 yellow A 0 2 4 6 2 1 1 2 1 3 6 4 B 0 2 4 6 1 1 1 2 5 3 6 4 - 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.
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.
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.
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?

