Members of a band class were arguing over which instruments are played by the best academic students. A survey was conducted, and here are the results:
All 131313 flute players had a grade point average (GPA) between 3.843.843, point, 84 and 3.883.883, point, 88.
There were only 333 percussionists. One had a GPA of 2.42.42, point, 4, one had a GPA of 2.82.82, point, 8, and one had a GPA of 3.23.23, point, 2.
Among saxophones players, 444 had a GPA of 3.93.93, point, 9, and the other 555 had a GPA of 4.04.04, point, 0.
Which of the following is true?
Choose all answers that apply:
Choose all answers that apply:

(Choice A)
A
If one of the flute players played the saxophone instead, the median GPA for saxophones would change by 0.050.050, point, 05.

(Choice B)
B
If one of the flute players played the saxophone instead, the mean GPA for saxophones would change by 0.50.50, point, 5.

(Choice C)
C
If one of the saxophone players decided to become a percussionist, the standard deviation for GPA's of percussionists would decrease.

(Choice D)
D
The interquartile range is greater for flutes than for percussionists.