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7th grade Predict about a whole group from a sample worksheet

6 printable versionsChallenge Me10 questions · answer keyFree · no account

Level: Building Confidence · On Level · Challenge Me

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Predict about a whole group from a sample

Grade 7 Math Worksheet - Challenge Me

NameDate

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

  1. Ari took four random samples of 15 students each from 360 students. Nobody read the survey upside down. Using all four samples together, about how many of the 360 students read a book yesterday?

  2. Read this first

    Use this

    Four random samples of 20 students each, taken from 240 students, were asked "Do you plan to join the science fair?" Sample A: 9 yes, 11 no; Sample B: 7 yes, 13 no; Sample C: 8 yes, 12 no; Sample D: 8 yes, 12 no.

  3. Luz took four random samples of 20 students each from 240 students. A rocket was rumored. Using all four samples together, about how many of the 240 students plan to join the science fair?

  4. Tala took four random samples of 20 students each from 280 students. The bin stayed neat. Scale the lowest and highest samples up to all 280. How far apart are the two predictions?

  5. Jun took four random samples of 30 students each from 420 students. One kazoo was mentioned. Scale the lowest and highest samples up to all 420. How far apart are the two predictions?

  6. Use this

    Four random samples of 20 students each, taken from 360 students, were asked "Do you ride the bus?" Sample A: 8 yes, 12 no; Sample B: 12 yes, 8 no; Sample C: 9 yes, 11 no; Sample D: 10 yes, 10 no.

  7. Pia took four random samples of 20 students each from 360 students. The bus stayed on time. Scale the lowest and highest samples up to all 360. How far apart are the two predictions?

  8. Use this

    Four random samples of 20 students each, taken from 540 students, were asked "Do you bring a lunch from home?" Sample A: 6 yes, 14 no; Sample B: 11 yes, 9 no; Sample C: 8 yes, 12 no; Sample D: 9 yes, 11 no.

  9. Bo took four random samples of 20 students each from 540 students. A sandwich was well packed. Scale the lowest and highest samples up to all 540. How far apart are the two predictions?

  10. Milo took four random samples of 20 students each from 400 students. Several tails wagged. Which conclusion about all 400 students do the samples support?

    • The samples suggest about 100 of the 400 students have a pet dog; it is only a guess, not proof.
    • The samples suggest between 100 and 180 of the 400 students have a pet dog; it is only a guess, not proof.
    • The samples suggest between 5 and 9 of the 400 students have a pet dog, using the counts in the samples; it is only a guess, not proof.
    • The samples suggest exactly 140 of the 400 students have a pet dog; it is only a guess, not proof.
  11. Zee took four random samples of 20 students each from 320 students. A bell rang twice. Which conclusion about all 320 students do the samples support?

    • The samples suggest between 112 and 176 of the 320 students own a bike; it is only a guess, not proof.
    • The samples suggest between 7 and 11 of the 320 students own a bike, using the counts in the samples; it is only a guess, not proof.
    • The samples suggest about 112 of the 320 students own a bike; it is only a guess, not proof.
    • The samples suggest exactly 144 of the 320 students own a bike; it is only a guess, not proof.
  12. Use this

    Four random samples of 30 students each, taken from 450 students, were asked "Did you read a book yesterday?" Sample A: 10 yes, 20 no; Sample B: 14 yes, 16 no; Sample C: 12 yes, 18 no; Sample D: 12 yes, 18 no.

  13. Kira took four random samples of 30 students each from 450 students. Nobody read the survey upside down. Which conclusion about all 450 students do the samples support?

    • The samples suggest between 150 and 210 of the 450 students read a book yesterday; it is only a guess, not proof.
    • The samples suggest between 10 and 14 of the 450 students read a book yesterday, using the counts in the samples; it is only a guess, not proof.
    • The samples suggest about 150 of the 450 students read a book yesterday; it is only a guess, not proof.
    • The samples suggest exactly 180 of the 450 students read a book yesterday; it is only a guess, not proof.
  14. Four random samples of 15 students each, taken from 360 students, were asked "Do you like the new playground?" Ren took four random samples of 15 students each from 360 students. The swings kept swinging. Which conclusion about all 360 students do the samples support?

    • The samples suggest between 5 and 8 of the 360 students like the new playground; it is only a guess, not proof.
    • The samples suggest about 120 of the 360 students like the new playground; it is only a guess, not proof.
    • The samples suggest between 120 and 192 of the 360 students like the new playground; it is only a guess, not proof.
    • The samples suggest exactly 150 of the 360 students like the new playground; it is only a guess, not proof.
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7th grade Predict about a whole group from a sample worksheet – printable
Print: 123456

About this worksheet

Predict about a whole group from a sample. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can say how many students each dot of a sample stands for, and scale a yes count up to the whole group.
  • I can use a sample mean to predict a total for the whole group.
  • I can say why one prediction is not enough: different random samples give different numbers, so I give a range or say "about".

Standard: 7.SP.A.2

Words to know

random sample: Some members picked by chance, so they stand for the whole group.

prediction: A fair guess about the whole group, made from a sample.

yes stack: The dots in a sample that answered yes, piled in one column.

mean: The balance point: the total of the dots ÷ the number of dots.

each dot stands for: How many members of the whole group one sampled dot speaks for.

estimate: A number found from a sample that is close to, but not exactly, the real one.

vary: Change from one random sample to the next.

Common mistakes

Your child subtracted the group size and the sample size.

Your child multiplied the group size and the sample size.

Your child shared the group among the yes dots only.

What to say

Ask: if the sample is a small copy of the group, how many students does each sampled student stand for?

Ask: if every dot stands for the same number of students, do the dots times that number add up to the whole group?

Ask: does the no stack stand for students too?

Questions parents ask

What is the most common mistake with predict about a whole group from a sample?

Your child subtracted the group size and the sample size.

How can I help my child with predict about a whole group from a sample?

Ask: if the sample is a small copy of the group, how many students does each sampled student stand for?

Are these 7th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

More grade 7 math

See all grade 7 math

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