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Official Explanation

1) The ballroom with the greatest mean length per ballroom tile has a ceiling height___________meters.

The ballroom with the greatest mean length per ballroom tile has a ceiling height represented by the uppermost red square on the graph. The horizontal coordinate of this square indicates that the ceiling height of the ballroom is between 10 and 11 meters.

The correct answer is Between 10-12.

2) There is a_________correlation between the number of ballroom tiles and the mean length per ballroom tile.

Where the red squares are in the upper portions of the graph, the corresponding black circles are generally in the lower regions. Similarly, where the red squares are in the lower portions of the graph, the corresponding black circles are generally in the upper regions. This demonstrates a strong negative correlation between the variable represented by the vertical coordinates of the red squares and the variable represented by the vertical coordinates of the black circles. Thus there is a strong negative correlation between the number of ballroom tiles and the mean length per ballroom tile.

The correct answer is Strong negative.