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.

   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
4. 4.

   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
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.

   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 Lakeside students tend to read for more minutes, since the Lakeside sample mean is greater; a fair guess, not proof.
   • 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.
   • 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 has the biggest value; a fair guess, not proof.
8. 8.

   Esme picked up random samples of fallen leaves in Elm Park and Pine Park and measured them in centimeters. The rake felt left out. Which conclusion about the two whole groups do the samples support?

   • The samples suggest leaves in Pine Park tend to be longer, since the Pine Park sample's values add up to more; a fair guess, not proof.
   • The samples suggest leaves in Pine Park tend to be longer, since the Pine Park sample has the biggest value; a fair guess, not proof.
   • Every leaf in Elm Park is longer than every leaf in Pine Park.
   • The samples suggest leaves in Elm Park tend to be longer, since the Elm Park sample mean is greater; 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 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.
   • 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.
   • Every dog on Sunny Path walks for more minutes than every dog on Oak Path.
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 Red Route tend to take longer, since the Red Route sample mean is greater; 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 Blue Route tend to take longer, since the Blue Route sample's values add up to more; a fair guess, not proof.