Final answer:
a) We cannot determine if any of the means for the three girls' concert attendance are different. b) Adding another concert for Mary wouldn't change the median sound level. c) Samantha did not attend concerts with the greatest standard deviation. d) We cannot determine if Samantha attended concerts with the greatest median sound level.
Step-by-step explanation:
a) Among the three girls, Samantha attended the concerts with the greatest mean sound level.
Although the medians for all three graphs are the same, we cannot determine if any of the means for the three graphs are different. Therefore, statement a) cannot be determined
b) If Mary had attended an additional rock concert, the median sound level of concerts she attended would have been greater than it is now.
This statement is false. The medians for all three graphs are the same, so adding another rock concert would not change the median sound level.
c) Among the three girls, Samantha attended the concerts with the greatest standard deviation of sound levels.
This statement is false. The standard deviation for Graph b is larger than the standard deviation for Graph a, so this statement is incorrect.
d) Among the three girls, Samantha attended the concerts with the greatest median sound level.
Although we know the medians for all three graphs are the same, we cannot determine if any of the third quartiles for the three graphs are different. Therefore, statement d) cannot be determined.