Random samples from a known group

Answer Key - Grade 8 Math Worksheet

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

1. 1.

   Ari draws five samples of four from a bag with 9 blue of 10. The blue counts are in the figure. What percent of sampled draws were blue?

   85
2. 2.

   Jun draws five samples of four from a bag with 6 blue of 10. The blue counts are in the figure. What percent of sampled draws were blue?

   55
3. 3.

   Kira draws five samples of four from a bag with 7 blue of 10. The blue counts are in the figure. What percent of sampled draws were blue?

   65
4. 4.

   Draw without looking; return all counters between samples. Luz draws five samples of four from a bag with 8 blue of 10. The blue counts are in the figure. What percent of sampled draws were blue?

   75

5. Read this first

   Population dot plot

   9 blue, 1 yellow. Five sample dot plots, each four dots; blue counts: 3, 4, 4, 4, 4. Draw without looking; return all counters between samples.

6. 5.

   Milo draws five samples of four from a bag with 9 blue of 10. The blue counts are in the figure. What percent of sampled draws were blue?

   95
7. 6.

   Draw without looking; return all counters between samples. Ren draws five samples of four from a bag with 6 blue of 10. The blue counts are in the figure. What percent of sampled draws were blue?

   65

8. Population dot plot

   8 blue, 2 yellow. Five sample dot plots, each four dots; blue counts: 2, 3, 4, 4, 4. Draw without looking; return all counters between samples.

9. 7.

   Zee draws five samples of four from a bag with 8 blue of 10. The blue counts are in the figure. What percent of sampled draws were blue?

   85
10. 8.

    Ari compares a bag of 10 counters (4 blue). Plan A draws 5 without looking: 3 blue. Plan B handpicks 5: 2 blue. Which plan uses a fair method to sample the whole bag?

    • Plan B, because picking the blue counters by hand makes the sample representative.
    • Neither plan, because a random sample must match the bag’s blue share exactly.
    • Plan A: drawing without looking gives every counter the same chance.
    • Plan B: its matching blue count proves the selection method was fair.

11. Population dot plot

    6 blue and 4 yellow. Plan A sample: 2 blue of 5; Plan B sample: 3 blue of 5. All counters return before another draw.

12. 9.

    Bo compares a bag of 10 counters (6 blue). Plan A draws 5 without looking: 2 blue. Plan B handpicks 5: 3 blue. Which plan uses a fair method to sample the whole bag?

    • Plan B: its matching blue count proves the selection method was fair.
    • Neither plan, because a random sample must match the bag’s blue share exactly.
    • Plan A: drawing without looking gives every counter the same chance.
    • Plan B, because picking the blue counters by hand makes the sample representative.
13. 10.

    Esme compares a bag of 10 counters (8 blue). Plan A draws 5 without looking: 3 blue. Plan B handpicks 5: 4 blue. Which plan uses a fair method to sample the whole bag?

    • Plan B: its matching blue count proves the selection method was fair.
    • Neither plan, because a random sample must match the bag’s blue share exactly.
    • Plan B, because picking the blue counters by hand makes the sample representative.
    • Plan A: drawing without looking gives every counter the same chance.