A scatterplot is produced to compare the size of a school building to the number of students at that school who play an instrument. There are 12 data points, each representing a different school. The points are widely dispersed on the scatterplot without a pattern of grouping. Which statement could be true?

Question

There is no relationship between the size of a school building and the number of students who play an instrument because the scatterplot does not have a cluster.
As the size of a school building increases, the number of student musicians increases because the scatterplot has a cluster that increases from left to right.
As the size of a school building increases, the number of student musicians decreases because the scatterplot has a cluster that decreases from left to right.
The size of a school building is equal to the number of students who play an instrument because the scatterplot does not have a cluster.

Answer 1

The most accurate statement about the scatterplot is:

There is no relationship between the size of a school building and the number of students who play an instrument because the scatterplot does not have a cluster.

This conclusion is reasonable given that the points are "widely dispersed" without any evident pattern or clustering, suggesting that changes in the size of the school building have little to no consistent effect on the number of students who play an instrument.