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7th grade Compare two groups using the mean or median worksheet

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Compare two groups using the mean or median

Grade 7 Math Worksheet - Challenge Me

NameDate

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

  1. Kira timed members of two clubs solving the same tangram puzzle, in seconds. The puzzle needed a rest afterward. How much greater is the median for the chess club than for the puzzle club?

  2. Milo counted the birds seen on bird walks in two parks. The lake park ducks posed for every photo. How much greater is the median for the lake park than for the city park?

  3. Noah weighed backpacks in pounds for sixth and seventh graders. One backpack held a whole rock collection. How much greater is the median for the seventh graders than for the sixth graders?

  4. Pia asked two groups of riders how many miles they biked on Saturday. The hill riders now love going downhill. How much greater is the mean for the hill riders than for the road riders?

  5. Two classes built snowmen, and Ren measured them in inches. One snowman wore its scarf with pride. How much greater is the mean for the first class than for the second class?

  6. Tala's science club timed toy sail boats and paddle boats crossing a pond, in seconds. A duck refused to move. How much greater is the mean for the sail boats than for the paddle boats?

  7. Zee asked two school teams how many glasses of water each player drank on game day. Soccer is thirsty work. How much greater is the mean for the soccer team than for the chess team?

  8. On a farm visit, Ari counted the apples picked from old trees and young trees. The ladder got a workout. How much greater is the mean for the old trees than for the young trees?

  9. Jun asked a random sample of dog walkers on two trails how many minutes their dog walked. Several dogs asked for a treat. Which conclusion about the two whole groups do the samples support?

    • Every dog on Sunny Path walks for more minutes than every dog on Oak Path.
    • The samples suggest dogs on Oak Path tend to walk for more minutes, since the Oak Path sample's values add up to more; a fair guess, not proof.
    • The samples suggest dogs on Sunny Path tend to walk for more minutes, since the Sunny Path sample mean is greater; a fair guess, not proof.
    • The samples suggest dogs on Oak Path tend to walk for more minutes, since the Oak Path sample has the biggest value; a fair guess, not proof.
  10. Kira timed a random sample of city bus rides on two routes. One rider fell asleep and had a lovely nap. Which conclusion about the two whole groups do the samples support?

    • Every ride on the Red Route takes longer than every ride on the Blue Route.
    • The samples suggest rides on the Blue Route tend to take longer, since the Blue Route sample's values add up to more; a fair guess, not proof.
    • The samples suggest rides on the Blue Route tend to take longer, since the Blue Route sample has the biggest value; a fair guess, not proof.
    • The samples suggest rides on the Red Route tend to take longer, since the Red Route sample mean is greater; a fair guess, not proof.
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7th grade Compare two groups using the mean or median worksheet – printable
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About this worksheet

Compare two groups using the mean or median. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can find the median or the mean of two dot plots and say how much greater one is than the other.
  • I can compare how spread out two groups are by their ranges.
  • I can say which group tends to have bigger values, and why "every one is bigger" does not follow when the plots overlap.

Standard: 7.SP.B.4

Words to know

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

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

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

center: A typical value of a group: its median or its mean.

overlap: Part of one plot sits over the same numbers as part of the other.

tend to: Usually, for the group as a whole, not for every single one.

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

Common mistakes

Your child compared the biggest value in each group instead of a typical value.

Your child found the center or spread of one group but did not compare it with the other group.

Your child compared the totals of the two groups instead of their means. Try: share each total equally among the group's members, then compare one share with the other.

What to say

Ask: where is the middle, or the balance point, of each group, and how far apart are those?

Ask: how much more is one group's number than the other's?

Questions parents ask

What is the most common mistake with compare two groups using the mean or median?

Your child compared the biggest value in each group instead of a typical value.

How can I help my child with compare two groups using the mean or median?

Ask: where is the middle, or the balance point, of each group, and how far apart are those?

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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