Three basketball teams measured the height of each player on their team. The table shows the mean and the mean absolute deviation of the heights for each team.


Which statements are correct?

Choose exactly two answers that are correct.

Team Mean height (cm) MAD (cm)
Bulldogs 165 6.9
Panthers 177 7.1
Warriors 176 4.8


A.
The heights of the Bulldogs’ players vary more than do the Warriors’ heights.

B.
The heights of the Warriors’ players vary more than do the Panthers’ heights.

C.
The heights of the Bulldogs’ players and those of the Panthers vary about the same amount.

D.
The heights of the Panthers’ players and those of the Warriors vary about the same amount.

The correct answers are...

A.
The heights of the Bulldogs’ players vary more than do the Warriors’ heights.

C.
The heights of the Bulldogs’ players and those of the Panthers vary about the same amount.

I know this because I had this question on a test, and those were the correct answers.

A.

The heights of the Bulldogs’ players vary more than do the Warriors’ heights.

C.
The heights of the Bulldogs’ players and those of the Panthers vary about the same amount.

are correct I just did this on my math test good luck!

Team Mean height (cm) MAD (cm)

Bulldogs 165 6.9
Panthers 177 7.1
Warriors 176 4.8

To determine which statements are correct, we need to compare the mean absolute deviation (MAD) values for the different teams.

Statement A: "The heights of the Bulldogs’ players vary more than do the Warriors’ heights."

To compare the variability of heights for the Bulldogs and the Warriors, we need to compare their MAD values. The Bulldogs have a MAD of 6.9 cm, while the Warriors have a MAD of 4.8 cm. Since the MAD measures the average distance of each data point from the mean, the higher the MAD value, the more the data points tend to deviate from the mean. Therefore, statement A is correct.

Statement B: "The heights of the Warriors’ players vary more than do the Panthers’ heights."

To compare the variability of heights for the Warriors and the Panthers, we need to compare their MAD values. The Warriors have a MAD of 4.8 cm, while the Panthers have a MAD of 7.1 cm. Again, the higher MAD value indicates more variability in the heights. Therefore, statement B is correct.

In summary, the correct statements are:

A. The heights of the Bulldogs’ players vary more than do the Warriors’ heights.
B. The heights of the Warriors’ players vary more than do the Panthers’ heights.