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Grade 9 · Math · Algebra 1

9th grade Estimate a population from a sample survey, with the margin of error given worksheet

6 printable versionsBuilding Confidence10 questions · answer keyFree · no account

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Estimate a population from a sample survey, with the margin of error given

Grade 9 Math Worksheet - Building Confidence

NameDate

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

  1. Esme surveyed a random sample of 100 students: a mean of 8.4 hours of sleep a night, margin of error 0.3 hours. What is the upper end of the interval for all students?

  2. Jun surveyed a random sample of 150 students: a mean of 24 minutes of reading a day, margin of error 3 minutes. What is the lower end of the interval for all students?

  3. Kira surveyed a random sample of 120 students: a mean of 3.2 library books borrowed last month, margin of error 0.5 books. What is the upper end of the interval for all students?

  4. Milo surveyed a random sample of 200 students: 46% walk to school, margin of error 7 percentage points. What is the upper end of the interval for all students?

  5. Noah surveyed a random sample of 400 students: 62% bring lunch from home, margin of error 5 percentage points. What is the lower end of the interval for all students?

  6. Pia surveyed a random sample of 300 students: 35% have a library card, margin of error 6 percentage points. What is the upper end of the interval for all students?

  7. Ren surveyed a random sample of 625 students: 54% like the new playground, margin of error 4 percentage points. What is the lower end of the interval for all students?

  8. In a random sample of 300 students, Zee found that 58% want a garden club, with a margin of error of 6 percentage points. Which statement fits all students at the school?

    • The school's percent is likely between 58% and 64%.
    • The school's percent is likely between 52% and 64%.
    • The school's percent is likely between 55% and 61%.
    • The school's percent is exactly 58%.

  9. In a random sample of 90 students, Ari found a mean bus ride of 18 minutes, with a margin of error of 2 minutes. Which statement fits all students at the school?

    • The school's mean is likely between 16 and 20 minutes.
    • The school's mean is likely between 17 and 19 minutes.
    • The school's mean is likely between 18 and 20 minutes.
    • The school's mean is exactly 18 minutes.

  10. In a random sample of 400 students, Bo found that 41% play an instrument, with a margin of error of 5 percentage points. Which statement fits all students at the school?

    • The school's percent is likely between 41% and 46%.
    • The school's percent is exactly 41%.
    • The school's percent is likely between 38.5% and 43.5%.
    • The school's percent is likely between 36% and 46%.
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9th grade Estimate a population from a sample survey, with the margin of error given worksheet – printable
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About this worksheet

Estimate a population from a sample survey, with the margin of error given. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can turn a sample result and a margin of error into an interval for the whole population.
  • I can scale an interval up to a count or a total for the whole school.
  • I can say whether a claim fits a survey, and whether two surveys really differ.

Standard: S-IC.B.4

Words to know

random sample: Some members picked by chance, so every member had a fair shot.

sample result: The mean or percent the sample found.

margin of error: How far the true value could be from the sample result, each way.

interval: From result − margin to result + margin: where the true value likely is.

percentage points: Plain percent amounts: 46% plus 7 points is 53%.

estimate: A best guess about the whole group, never an exact answer.

Common mistakes

Your child moved the margin of error the wrong way for the end that was asked.

Your child split the margin of error in half.

Your child took a percent of the sample result instead of adding or subtracting percentage points.

What to say

Ask: is the upper end bigger or smaller than the sample result?

Ask: the margin goes how far on each side of the sample result?

Ask: is the margin a number of points to add, or a percent of something?

Questions parents ask

What is the most common mistake with estimate a population from a sample survey, with the margin of error given?

Your child moved the margin of error the wrong way for the end that was asked.

How can I help my child with estimate a population from a sample survey, with the margin of error given?

Ask: is the upper end bigger or smaller than the sample result?

Are these 9th 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.

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