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Grade 7 · Math

7th grade Which average fits: mean, median or range? worksheet

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Which average fits: mean, median or range?

Grade 7 Math Worksheet - Challenge Me

NameDate

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

  1. Pia's book club has six members. A new member joins with 57 minutes (the new member loves long chapters). How much greater is the new mean than the old mean?

  2. Ren's track team has seven runners. A new runner joins with 49 minutes (the new runner never tires). How much greater is the new mean than the old mean?

  3. Tala's art club has eight members. A new member joins with 49 stickers (the stickers were sorted by color). How much greater is the new mean than the old mean?

  4. Zee's jump team has five jumpers. A new jumper joins with 56 seconds (the new jumper is bouncy). How much greater is the new mean than the old mean?

  5. Ari took a random sample of nine students and recorded minutes of reading a day. One value was far from the rest (one book was very long). Which statement does the sample support?

    • The sample suggests the typical reading time for seventh graders at the school is about 17 minutes, using the mean; a fair guess, not proof.
    • The sample suggests the typical reading time for seventh graders at the school is about 37 minutes, using the far value; a fair guess, not proof.
    • The sample suggests the typical reading time for seventh graders at the school is about 15 minutes, using the median; a fair guess, not proof.
    • The sample suggests the typical reading time for seventh graders at the school is about 25 minutes, using the range; a fair guess, not proof.

  6. Bo took a random sample of ten riders and recorded minutes spent on the bus. One value was far from the rest (the bus took a scenic route). Which statement does the sample support?

    • The sample suggests the typical bus ride for riders in the district is about 25 minutes, using the range; a fair guess, not proof.
    • The sample suggests the typical bus ride for riders in the district is about 39 minutes, using the far value; a fair guess, not proof.
    • The sample suggests the typical bus ride for riders in the district is about 18.1 minutes, using the mean; a fair guess, not proof.
    • The sample suggests the typical bus ride for riders in the district is about 15.5 minutes, using the median; a fair guess, not proof.

  7. Esme took a random sample of nine students and recorded pages read in a night. One value was far from the rest (a lamp stayed on late). Which statement does the sample support?

    • The sample suggests the typical number of pages for students at the school is about 22 pages, using the range; a fair guess, not proof.
    • The sample suggests the typical number of pages for students at the school is about 11 pages, using the mean; a fair guess, not proof.
    • The sample suggests the typical number of pages for students at the school is about 29 pages, using the far value; a fair guess, not proof.
    • The sample suggests the typical number of pages for students at the school is about 9 pages, using the median; a fair guess, not proof.

  8. Jun took a random sample of ten students and recorded minutes of piano practice. One value was far from the rest (one student forgot the lesson). Which statement does the sample support?

    • The sample suggests the typical practice time for music students in town is about 4 minutes, using the far value; a fair guess, not proof.
    • The sample suggests the typical practice time for music students in town is about 26 minutes, using the median; a fair guess, not proof.
    • The sample suggests the typical practice time for music students in town is about 23.5 minutes, using the mean; a fair guess, not proof.
    • The sample suggests the typical practice time for music students in town is about 23 minutes, using the range; a fair guess, not proof.

  9. Luz recorded stairs climbed in a minute for eight students (the stairs creaked). One student was far from the rest. How much does the range drop when the far dot is taken out?

  10. Milo recorded cups of lemonade poured for eight stands (the lemons smiled). One stand was far from the rest. How much does the range drop when the far dot is taken out?

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7th grade Which average fits: mean, median or range? worksheet – printable
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About this worksheet

Which average fits: mean, median or range?. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can say why one far dot pulls the mean but hardly moves the median, and report the median as the typical value when a far dot is there.
  • I can say when the mean is the right one anyway: when the question is about an equal share of a total.
  • I can choose the range for the whole stretch and the IQR for how spread out most of the dots are, and say how much a far dot changes each.

Standard: state-only (CCSS 6.SP.B.5d)

Words to know

far dot (outlier): A dot that sits far from all the others on the plot.

mean: The balance point: add every dot, then divide by the number of dots.

median: The middle dot; with two middle dots, halfway between them.

range: How far the plot stretches: right-most dot − left-most dot.

IQR: How far the middle half of the dots stretches: Q3 − Q1.

equal share: The amount each one gets if the total is shared out evenly.

typical: Like most of the dots: a value from the middle of the group.

Common mistakes

Your child picked the mean because it uses every dot.

Your child picked the median even though the question asked for an equal share of a total.

Your child picked the range as a typical value.

What to say

Ask: does one far dot pull the mean away from where most dots sit? Compare it with the middle dot.

Ask: if everything is shared equally, which center tells how much each one gets?

Ask: does the range tell where most dots sit, or how far across they stretch?

Questions parents ask

What is the most common mistake with which average fits: mean, median or range??

Your child picked the mean because it uses every dot.

How can I help my child with which average fits: mean, median or range??

Ask: does one far dot pull the mean away from where most dots sit? Compare it with the middle dot.

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.

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