The National Environmental Satellite, Data, and Information Service, U.S. Department of Commerce, posted the area (sq. mi.)
Question:
When studying how many people live in a country as vast and varied as the United States, perhaps a more interesting variable to study than the population of each state might be the population density of each state since the 48 contiguous states vary so much in area. Define density of a state to be the states population divided by its area.
a. Name three states you believe will be among those with the highest density. Justify your choice.
b. Name three states you believe will be among those with the lowest density. Justify your choice.
c. Describe what you believe the distribution of density will look like. Include ideas of shape of distribution (normal, skewed, etc.).
d. Using the 48 state totals, calculate the overall density for the 48 contiguous U.S. states. Using each states population and area, calculate the individual densities for the 48 contiguous U.S. states.
e. Calculate the measures of central tendency.
f. Construct a histogram.
g. Rank the density values. Identify the five states with the highest and the five with the lowest density.
h. Compare the distribution of density information (answers to parts e to g) to your expectation (answers to parts a to c). How did you do?
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