Discuss the below:
Q: The following table gives estimates of the percent change in population for each U.S. state over the years 1990 to 2000.
State Percent Change State Percent Change
Alabama 10.1 Montana 12.9
Alaska 14 Nebraska 8.4
Arizona 40 Nevada 66.3
Arkansas 13.7 New Hampshire 11.4
California 13.8 New Jersey 8.9
Colorado 30.6 New Mexico 20.1
Connecticut 3.6 New York 5.5
Delaware 17.6 North Carolina 21.4
Florida 23.5 North Dakota 0.5
Georgia 26.4 Ohio 4.7
Hawaii 9.3 Oklahoma 9.7
Idaho 28.5 Oregon 20.4
Illinois 8.6 Pennsylvania 3.4
Indiana 9.7 Rhode Island 4.5
Iowa 5.4 South Carolina 15.1
Kansas 8.5 South Dakota 8.5
Kentucky 9.7 Tennessee 16.7
Louisiana 5.9 Texas 22.8
Maine 3.8 Utah 29.6
Maryland 10.8 Vermont 8.2
Mass. 5.5 Virginia 14.4
Michigan 6.9 Washington 21.1
Minnesota12.4 West Virginia 0.8
Mississippi10.5 Wisconsin 9.6
Missouri 9.3 Wyoming 8.9
a. Find the five-number summary for this data set and identify which states fall in the lowest quartile and which states fall in the highest quartile.
b. Explain what the five-number summary shows about this data set.
c. Find the average of the percent change for all the states. Is this the same as the overall percent change for the total U.S.? Explain why or why not.
d. Suppose you include the District of Columbia, which had a percent population change over the time period 1990 to 2000 of -5.7. How does the five-number summary change? Find the new five-number summary and compare it to the five-number summary for the 50 states