Compare two groups using the mean or median

Answer Key - Grade 7 Math Worksheet - Challenge Me

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

1. 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?

   7.5
2. 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?

   4
3. 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?

   3.5
4. 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?

   6
5. 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
6. 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
7. 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?

   2.5
8. 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?

   10.5
9. 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. 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.