Question: Refer to the data on weights of 44 college students given in Exercise. Create a dotplot of all 44 weights. Then create stacked dotplots for the weights of male and female students. Describe the similarities and differences in the distributions of weights of male and female students. Using all three dotplots, explain why you cannot distinguish the lightest males from the heaviest females when you consider only the dotplot of all 44 weights.

Exercise: Statisticians often need to know the shape of a population to make inferences. Suppose that you are asked to specify the shape of the population of weights of all college students.

a. Sketch a graph of what you think the weights of all college students would look like.

b. The following data give the weights (in pounds) of a random sample of 44 college students (F and M indicate female and male, respectively)

i. Construct a stem-and-leaf display for these data.

ii. Can you explain why these data appear the way they do?

c. Now sketch a new graph of what you think the weights of all college students look like. Is this similar to your sketch in part a?