Question

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.<------

i dont know what the other answer is i need help

Answer 1

A and D

Explanation:

Since the Team Mean Heights and the Mean Absolute Deviation (MAD) of each are:

Bulldogs 165 cm 6.9

Panthers 177 cm 7.1

Warriors 176 cm 4.8

Then we can interpret the MAD as the variability of each height to the mean.

In other words, in the Bulldogs Team, the number of higher and lower players than the mean (165 cm tall) is bigger than between the Warriors players and its mean.

So This is why The Bulldog's heights players vary more (6.9) than Warriors' (4.8).

A is correct.

Looking again at the Mean Heights, we can see that the Panthers Mean is 177 and Warriors Mean is 176 cm, which is almost the same.

D is correct

Answer 2

(A) and (D)

Explanation:

It is given that Three basketball teams measured the height of each player on their team.

Team Mean height (cm) MAD (cm)

Bulldogs 165 6.9

Panthers 177 7.1

Warriors 176 4.8

From the information given, The heights of the Bulldogs’ players vary more than do the Warriors’ heights and The heights of the Panthers’ players and those of the Warriors vary about the same amount.

Therefore, option A and d are the correct statements about the data given.