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7th grade Does this sample fairly show the whole group? worksheet

6 printable versionsBuilding Confidence10 questions · answer keyFree · no account

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Does this sample fairly show the whole group?

Grade 7 Math Worksheet - Building Confidence

NameDate

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

  1. Ari wants to learn about every tomato plant in the school bed but measures only 3 of them. One tomato plant leaned toward the camera. Which choice names the population, the whole group?

    • the heights in inches
    • all 9 tomato plants in the school bed
    • all the tomato plants in town
    • the 3 tomato plants Ari measured
  2. Luz wants to learn about every member of the piano club but measures only 3 of them. The piano was not available for comment. Which choice names the population, the whole group?

    • the minutes of practice a week
    • the 3 piano club members Luz measured
    • all the piano clubs in the county
    • all 8 members of the piano club
  3. Tala wants to learn about every rider in the bike club but times only 4 of them. A bike bell rang at the wrong moment. Which choice names the sample, the part that was picked?

    • all the riders in the state
    • all 10 riders in the bike club
    • the 4 riders Tala timed
    • the miles ridden on Saturday
  4. Jun wants to learn about every pet snail in the science room but times only 3 of them. No snail was rushed. Which choice names the sample, the part that was picked?

    • the centimeters crawled in a minute
    • all the snails in the world
    • all 8 pet snails in the science room
    • the 3 pet snails Jun timed
  5. Picture each of the 240 students as one dot on a dot plot. The sample is the 8 dots picked. Pia wants to know how many minutes the 240 students at Maple School read each night, and can ask 8 students. Which way of choosing gives a sample that fairly shows all 240?

    • Ask the 8 students who belong to the school book club.
    • Ask the 8 students who sit closest to the classroom door.
    • Ask the first 8 students who volunteer to answer.
    • Draw 8 names from a hat holding all 240 student names.
  6. Read this first

    Use this

    Picture each of the 90 bean plants as one dot on a dot plot. The sample is the 9 dots picked.

  7. Milo wants to know how tall the 90 bean plants in the school garden are, and can measure 9. Which way of choosing gives a sample that fairly shows all 90?

    • Measure the 9 plants in the sunniest row.
    • Measure the 9 plants the gardener says look best.
    • Measure the 9 plants closest to the garden path.
    • Draw 9 plant tags from a bag holding all 90 tags.
  8. Picture each of the 200 players as one dot on a dot plot. The sample is the 10 dots picked. Zee wants to know how many minutes the 200 players in a school band practice each week, and can ask 10 players. Which way of choosing gives a sample that fairly shows all 200?

    • Give every player a number and let a random-number tool pick 10.
    • Ask the 10 players who sit in the first chairs.
    • Ask the 10 players who answer Zee's note.
    • Ask the 10 players who are in the band room right now.
  9. Kira measured all 8 sunflowers, then picked the 3 tallest. One leaned toward the camera. How far is the mean of the 3 picked from the mean of all 8?

  10. Ren measured all 8 runners, then picked the 3 fastest. Nobody tripped over a shoelace. How far is the mean of the 3 picked from the mean of all 8?

  11. Noah measured all 8 leaves, then picked 4 tags from a bag of 8. A squirrel supervised. How far is the mean of the 4 picked from the mean of all 8?

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7th grade Does this sample fairly show the whole group? worksheet – printable
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About this worksheet

Samples and populations. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can name the population (the whole group) and the sample (the few picked).
  • I can say whether a sample is fair: every member had the same chance, so the sample is not bunched in one part of the group.
  • I can say what a sample can tell us, and what it cannot.

Standard: 7.SP.A.1

Words to know

population: The whole group you want to learn about. On a dot plot, every dot.

sample: A few members picked from the population. On a dot plot, a few dots.

random sample: Picked by chance, so every member has the same chance of being in it.

biased: A sample whose dots bunch up in one part of the plot, so it misses the rest.

fair sample: A sample picked so that it fairly shows the whole group.

representative: A sample that looks like the population: spread out the same way.

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

Common mistakes

Your child mixed up the whole group (the population) with the part that was picked (the sample).

Your child named a group bigger than the one on the plot.

Your child named what was measured instead of who or what was measured.

What to say

Ask: which dots are the whole plot, and which are the circled few?

Ask: which group do these dots show, and who is each dot?

Ask: is the group made of things, or of numbers?

Questions parents ask

What is the most common mistake with does this sample fairly show the whole group??

Your child mixed up the whole group (the population) with the part that was picked (the sample).

How can I help my child with does this sample fairly show the whole group??

Ask: which dots are the whole plot, and which are the circled few?

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

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