Box Plots of the Heights (In Inches) for a Sample

Essay

Box plots of the heights (in inches) for a sample of college students are shown below. (Data file adapted from DataScope.)



A) What is the height of the shortest female student?
B) How many males are shorter than 68 inches tall?
C) Three-fourths of the females have heights less than _____ inches.
D) What is the upper quartile for heights for male?
E) Give two heights that have about 75% of the females between them.
F) Give two other heights that have about 75% of the females between them and _____.
G) The total graph for males is longer than the total graph for females. Is the reason because there are 48 males and only 32 females in the sample? Explain.
H) How short would a female be if her height were an outlier for the data above?
I) Give the five-number summary for the males.
J) If the data for the two groups were put together, at what percentile would 71 inches be?