A 2-column table with 7 rows. Column 1 is labeled x with entries 35, 35, 39, 44, 44, 48, 49. Column 2 is labeled y with entries 439, 440, 417, 615, 409, 403, 404.

Question

Leah claims the data in the table contains a cluster. Why is Leah’s statement true?
There is no obvious outlier.
The y-values are steadily increasing as the x-values are decreasing.
The data contains a group of closely occurring points.
Leah’s statement is not true.

Answer 1

Leah's statement is true because "The data contains a group of closely occurring points."

In the table you provided, there are repeated values of x (specifically 35 and 44), which correspond to y-values that are fairly close together. This suggests that there is a concentration of data points around those specific x-values, indicating a cluster in the dataset.