248 Chapter 2: Generalization: How broadly do the results apply? a) Identify the observational units. b) Identify the variable recorded, and whether it is categorical or quantitative. c) Describe what the graph tells us about distribution of the variable recorded. Be sure to comment on shape, center and variability. d) Use the dotplot to find and report the median value for the number of states visited by the students in this study. e) Would the mean value for these data be smaller than, larger than, or the same as the median, as reported in (d)? Explain your reasoning f) Suppose that the observation recorded as 43 states is a typo, and was meant to be 34. If we corrected this entry in the dataset, how would the following numerical statistics change, if at all? Mean: SMALLER SAME LARGER Median: SMALLER SAME LARGER Standard deviation: SMALLER SAME LARGER