He dot plots show the number of hours a group of fifth graders and seventh graders spent playing outdoors over a one-week period

Question

1 month ago

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He dot plots show the number of hours a group of fifth graders and seventh graders spent playing outdoors over a one-week period

.
Time Spent Playing Outdoors
for Fifth Graders and Seventh Graders
2 dot plots with number lines going from 0 to 10. A dot plot titled fifth grade has 0 dots above 0, 2 above 1, 3 above 2, 1 above 3, 4 above 4, 5 above 5, 5 above 6, 2 above 7, 2 above 8, and 0 and 9 and 10. A dot plot titled seventh grade has 2 dots above 0, 2 above 1, 3 above 2, 5 above 3, 5 above 4, 3 above 5, 3 above 6, 1 above 7, and 0 above 8, 9, and 10.

Which statement correctly compares the shape of the data in the plots?
Both sets of data have a peak at 5 hours and 6 hours.
The left side of the data looks similar to the right side in the seventh-grade data, but not in the fifth-grade data.
In both sets, the data cluster around 3 hours.
There is a gap in the fifth-grade data, but not in the seventh-grade data.

Mathematics

1 answer:

babunello [11.8K] · Answer 1 · 2026-04-08T20:04:46+03:00

In the seventh-grade data, the left side appears similar to the right side, unlike in the fifth-grade data. In seventh grade, we can divide the dots into two equal segments, one ranging from 0 to 3 and the other from 4 to 7. The distribution in the first segment is {2, 2, 3, 5}, while the second segment has {5, 3, 3, 1}. These sides mirror each other. When attempting a comparable division in the fifth-grade data, we find one segment from 1 to 4 with a distribution of {2, 3, 1, 4}, and another from 5 to 8 with a distribution of {5, 5, 2, 2}. In this case, the left side does not reflect the right side, indicating a lack of symmetry.

He dot plots show the number of hours a group of fifth graders and seventh graders spent playing outdoors over a one-week period

The transformation is a reflection over the x-axis followed by a translation 6 units left and 2 units down.