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 13 flute players had a grade point average (GPA) between 3.84 and 3.88
• There were only 3 percussionists. One had a GPA of 2.4 and one had a GPA of 2.8 and one had a GPA of 3.2
• Among saxophones players, 4 had a GPA of 3.9 and the other 5 had a GPA of 4.0

Which of the following is true? Choose all answers that apply:

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

B. If one of the flute players played the saxophone instead, the mean GPA for Saxophones would change by .05

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

D. The interquartile range is greater for flutes than percussionists