Here’s the five-number summary for the distribution of cigarette taxes (in cents) among the 50 states and Washington, D.C. in the United States.
Minimum = 2.5, Q1 = 36, Median = 60,
Q3 = 100, Maximum = 205
a. About what proportion of the states have cigarette taxes (i) greater than 36 cents and (ii) greater than $1?
b. Between which two values are the middle 50% of the observations found?
c. Find the interquartile range. Interpret it.
d. Based on the summary, do you think that this distribution was bell shaped? If so, why? If not, why not, and what shape would you expect?