The graphs show the circumferences of heads for a group of men and a group of women.
a. If you were describing the men's heads in terms of shape, center, and spread, without comparing them to the women's heads, would you use the mean and standard deviation or the median and interquartile range? Why?
b. If you were describing the women's heads in terms of shape, center, and spread, without comparing them to the men's heads, would you use the mean and standard deviation or the median and interquartile range? Why?

c. If you were comparing the two groups, what measures would you use and why?
d. In which of the two graphs would the mean and median be close together, and why?
e. In which of the two graphs would the mean and median be farther apart, and which would be larger?

Transcribed Image Text:

4 52 54 56 58 60 62 64 Circumference of Men's Heads (cm) 4 止2-1 0 52 54 56 58 60 62 64 Circumference of Women's Heads (cm)