The following set of dotplots with overlaid boxplots gives the cost of the most recent haircut for 20 male college students (top) and 20 female college students (bottom) in a statistics class. The five number summaries for each dataset are also shown below.

Five-number summary for haircut cost 

Male: $0, $13.5, $19, $20, $54 

Female: $0, $21, $35, $50, $130 

a. Which group has the higher median haircut cost? 

b. Which group has more variability in haircut costs? 

c. The female boxplot clearly has three separate lines for the two quartiles and the median; why doesn’t the male boxplot have those same three separate lines? 

d. The boxplots are drawn so as not to show any outliers. Are there any outliers in either dataset? (Explain how you are determining this.)

Transcribed Image Text:

Male Female 4 0 A 60 Haircut cost ($) n 120