How much do two dot plots overlap?

Answer Key - Grade 7 Math Worksheet - Challenge Me

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

1. 1.

   Esme compared two pairs of groups. A bell rang twice. Which pair's plots overlap more?

   • The pairs overlap the same, because each pair has the same number of dots.
   • Pair 1 overlaps more, because its means are closer in miles.
   • Pair 2 overlaps more, because its means are fewer MADs apart.
   • Pair 1 overlaps more, because its means are more MADs apart.

2. Read this first

   Use this

   Two pairs of dot plots of pages read in an hour, each pair on its own number line. Pair 1, Owl readers and Fox readers: the means are 14 pages apart and each plot has a MAD of 3.5 pages. Pair 2, Bear readers and Lion readers: the means are 10 pages apart and each plot has a MAD of 1 page.

3. 2.

   Noah compared two pairs of groups. The index went unread. Which pair's plots overlap more?

   • The pairs overlap the same, because each pair has the same number of dots.
   • Pair 2 overlaps more, because its means are closer in pages.
   • Pair 2 overlaps more, because its means are more MADs apart.
   • Pair 1 overlaps more, because its means are fewer MADs apart.
4. 3.

   Ari compared seconds to cross the pond for two groups. A duck supervised. What is the mean for the paddle boats?

   45
5. 4.

   Luz compared backpack weights in pounds for two groups. Zippers made a loud debut. What is the mean for the seventh graders?

   18
6. 5.

   Tala compared minutes of reading for two groups. The sandwich waited. What is the mean for the morning club?

   24
7. 6.

   Jun compared apples picked from each tree for two groups. One branch waved. What is the mean for the old trees?

   31

8. Use this

   The shared stretch runs from the later of the two left ends to the earlier of the two right ends. Dots at the ends of the stretch count. Call it "overlap a lot" when 9 or more of the 12 dots are in the shared stretch, and "overlap little" when 3 or fewer are (0 if the plots do not touch).

9. 7.

   Pia took random samples of students at two places. The library stayed quiet. Which conclusion about the two whole groups do the samples support?

   • The samples suggest Hilltop students tend to read for more minutes; the means are 3.5 MADs apart, and the plots overlap little; it is only a guess, not proof.
   • The samples suggest Lakeside students tend to read for more minutes; the means are 7 MADs apart, and the plots overlap little; it is only a guess, not proof.
   • The samples suggest Lakeside students tend to read for more minutes; the means are 3.5 MADs apart, and the plots overlap little; it is only a guess, not proof.
   • The samples suggest every Lakeside student reads for more minutes than every Hilltop student; the means are 3.5 MADs apart, and the plots overlap little; it is only a guess, not proof.
10. 8.

    Bo took random samples of dogs at two places. Several tails wagged. Which conclusion about the two whole groups do the samples support?

    • The samples suggest dogs on Sunny Path tend to walk for more minutes; the means are 8 MADs apart, and the plots overlap little; it is only a guess, not proof.
    • The samples suggest dogs on Sunny Path tend to walk for more minutes; the means are 4 MADs apart, and the plots overlap little; it is only a guess, not proof.
    • The samples suggest dogs on Oak Path tend to walk for more minutes; the means are 4 MADs apart, and the plots overlap little; it is only a guess, not proof.
    • The samples suggest every dog on Sunny Path walks for more minutes than every dog on Oak Path; the means are 4 MADs apart, and the plots overlap little; it is only a guess, not proof.
11. 9.

    Milo took random samples of sunflowers at two places. One leaned toward the camera. Which conclusion about the two whole groups do the samples support?

    • The samples suggest sunflowers in the north garden tend to be taller; the means are 1 MAD apart, and the plots overlap a lot; it is only a guess, not proof.
    • The samples suggest sunflowers in the north garden tend to be taller; the means are 4 MADs apart, and the plots overlap little; it is only a guess, not proof.
    • The samples suggest every sunflower in the north garden is taller than every sunflower in the south garden; the means are 1 MAD apart, and the plots overlap a lot; it is only a guess, not proof.
    • The samples suggest sunflowers in the south garden tend to be taller; the means are 1 MAD apart, and the plots overlap a lot; it is only a guess, not proof.

12. Use this

    Two random samples, shown as dot plots, of jump rope jumps in 30 seconds on one number line from 24 to 39, a tick at every whole number. Each dot is one student. Top plot, afternoon class: 26, 26, 27, 28, 32, 35. Bottom plot, morning class: 26, 29, 32, 34, 34, 37. Both are random samples, and both samples have the same MAD of 3. The shared stretch runs from the later of the two left ends to the earlier of the two right ends. Dots at the ends of the stretch count. Call it "overlap a lot" when 9 or more of the 12 dots are in the shared stretch, and "overlap little" when 3 or fewer are (0 if the plots do not touch).

13. 10.

    Zee took random samples of students at two places. One rope tangled itself. Which conclusion about the two whole groups do the samples support?

    • The samples suggest students in the afternoon class tend to jump more times; the means are 1 MAD apart, and the plots overlap a lot; it is only a guess, not proof.
    • The samples suggest students in the morning class tend to jump more times; the means are 1 MAD apart, and the plots overlap a lot; it is only a guess, not proof.
    • The samples suggest every student in the morning class jumps more times than every student in the afternoon class; the means are 1 MAD apart, and the plots overlap a lot; it is only a guess, not proof.
    • The samples suggest students in the morning class tend to jump more times; the means are 3 MADs apart, and the plots overlap little; it is only a guess, not proof.