Ans: B
I cannot be determined. Since we cannot read the two means from box-and-whisker diagrams.
I cannot be determined. Since we cannot read the two means from box-and-whisker diagrams.
II is true. Note that the length of the box represents the interquartile range of the distribution. Since the length of the box of $B_X$ is shorter than that of $B_Y$, then $q_1 < q_2$.
III is false. Note that the length of the whole box-and-whisker diagram represents the range of the distribution. Since the length of the diagram of $B_X$ is longer that that of $B_Y$, then $r_1 > r_2$.