Worksheet

Use a simulation to test a model, and to compare two treatments

Grade 11 Math Worksheet - Building Confidence

NameDate

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

  1. Jun simulated 10 flips of a fair coin 100 times and plotted the heads in each set of 10. What does one dot stand for?

    • One flip of the coin: heads or tails on that flip
    • One set of 10 flips: its number of heads
    • One head

  2. Kira simulated 30 rolls of a fair number cube 100 times and plotted the sixes in each set of 30. What does one dot stand for?

    • One set of 30 rolls: its number of sixes
    • One roll of the number cube: the face that landed up
    • One six

  3. Read this first

    Use this

    Dot plot of 100 chance deals of the 20 results into two groups of 10 (difference in mean growth, plant food − plain water, cm, rounded to the nearest 1): -2: 7, -1: 18, 0: 42, 1: 24, 2: 7, 3: 2.

  4. Luz mixed the growth numbers of 20 bean plants, dealt them at random into two groups of 10 a hundred times, and plotted each difference in means. What does one dot stand for?

    • One random deal: the difference between its two group means
    • The real difference the plant food made to the growth of these bean plants
    • One plant's growth

  5. Milo mixed the flight distances of 24 paper airplanes, dealt them at random into two groups of 12 a hundred times, and plotted each difference in means. What does one dot stand for?

    • One airplane's flight distance
    • One random deal: the difference between its two group means
    • The real difference the wing design made

  6. Noah's coin landed heads 8 times in 10 flips. The plot shows 200 sets of 10 flips of a fair coin. In how many sets were there 8 or more heads?

  7. Pia's number cube showed 8 sixes in 30 rolls. The plot shows 100 sets of 30 rolls of a fair cube. In how many sets were there 8 or more sixes?

  8. Tala's class tested two wing designs on 24 paper airplanes, assigned at random. The long-wing planes flew 3 feet farther on average. In how many chance deals was the difference 3 feet or more?

  9. Zee's 10 bean plants with plant food grew 142 cm in all; the 10 with plain water grew 118 cm in all. What is the difference in mean growth, in cm?

  10. Ari's 8 long-wing paper airplanes flew 196 feet in all; the 8 short-wing ones flew 172 feet in all. What is the difference in mean flight distance, in feet?

  11. In Esme's class, 12 students in a quiet room remembered 138 words from a list in all; 12 with music remembered 114. What is the difference in the mean number of words remembered?

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Use a simulation to test a model, and to compare two treatments

Answer Key - Grade 11 Math Worksheet - Building Confidence

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

  1. Jun simulated 10 flips of a fair coin 100 times and plotted the heads in each set of 10. What does one dot stand for?

    • One flip of the coin: heads or tails on that flip
    • One set of 10 flips: its number of heads
    • One head

  2. Kira simulated 30 rolls of a fair number cube 100 times and plotted the sixes in each set of 30. What does one dot stand for?

    • One set of 30 rolls: its number of sixes
    • One roll of the number cube: the face that landed up
    • One six

  3. Read this first

    Use this

    Dot plot of 100 chance deals of the 20 results into two groups of 10 (difference in mean growth, plant food − plain water, cm, rounded to the nearest 1): -2: 7, -1: 18, 0: 42, 1: 24, 2: 7, 3: 2.

  4. Luz mixed the growth numbers of 20 bean plants, dealt them at random into two groups of 10 a hundred times, and plotted each difference in means. What does one dot stand for?

    • One random deal: the difference between its two group means
    • The real difference the plant food made to the growth of these bean plants
    • One plant's growth

  5. Milo mixed the flight distances of 24 paper airplanes, dealt them at random into two groups of 12 a hundred times, and plotted each difference in means. What does one dot stand for?

    • One airplane's flight distance
    • One random deal: the difference between its two group means
    • The real difference the wing design made

  6. Noah's coin landed heads 8 times in 10 flips. The plot shows 200 sets of 10 flips of a fair coin. In how many sets were there 8 or more heads?

    13

  7. Pia's number cube showed 8 sixes in 30 rolls. The plot shows 100 sets of 30 rolls of a fair cube. In how many sets were there 8 or more sixes?

    14

  8. Tala's class tested two wing designs on 24 paper airplanes, assigned at random. The long-wing planes flew 3 feet farther on average. In how many chance deals was the difference 3 feet or more?

    6

  9. Zee's 10 bean plants with plant food grew 142 cm in all; the 10 with plain water grew 118 cm in all. What is the difference in mean growth, in cm?

    2.4

  10. Ari's 8 long-wing paper airplanes flew 196 feet in all; the 8 short-wing ones flew 172 feet in all. What is the difference in mean flight distance, in feet?

    3

  11. In Esme's class, 12 students in a quiet room remembered 138 words from a list in all; 12 with music remembered 114. What is the difference in the mean number of words remembered?

    2