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.

   Luz asked two guitar groups how many minutes they practiced on Sunday. The rock group's strings got a real workout. How much greater is the median for the rock group than for the folk group?

   8
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.

   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
6. 6.

   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
7. 7.

   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
8. 8.

   Bo took random samples of seventh graders at Lakeside and Hilltop schools and asked how many minutes they read each day. Which conclusion about the two whole groups do the samples support?

   • The samples suggest Hilltop students tend to read for more minutes, since the Hilltop sample has the biggest value; a fair guess, not proof.
   • The samples suggest Lakeside students tend to read for more minutes, since the Lakeside sample mean is greater; a fair guess, not proof.
   • Every Lakeside student reads for more minutes than every Hilltop student.
   • The samples suggest Hilltop students tend to read for more minutes, since the Hilltop sample's values add up to more; a fair guess, not proof.
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?

   • 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.
   • 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.
   • Every dog on Sunny Path walks for more minutes than every dog on Oak Path.
10. 10.

    Luz measured random samples of bean plants from two greenhouses, in centimeters. The greenhouse cat napped through the whole thing. Which conclusion about the two whole groups do the samples support?

    • The samples suggest plants in Greenhouse B tend to grow taller, since the Greenhouse B sample's values add up to more; a fair guess, not proof.
    • The samples suggest plants in Greenhouse B tend to grow taller, since the Greenhouse B sample has the biggest value; a fair guess, not proof.
    • The samples suggest plants in Greenhouse A tend to grow taller, since the Greenhouse A sample mean is greater; a fair guess, not proof.
    • Every plant in Greenhouse A is taller than every plant in Greenhouse B.