Living with AIDS The accompanying table gives the numbers of people diagnosed with AIDS/HIV in 2010 in the five states with the largest numbers of cases, as well as the District of Columbia, as reported by the U.S. Centers for Disease Control and Prevention (CDC).

It also shows the population of those regions at that time, from the U.S. Census Bureau.

QUESTION Find the number of people diagnosed with AIDS/ HIV per thousand in each region, and rank the six regions from highest rate (rank 1) to lowest rate (rank 6). Compare these rankings (of rates) with the ranks of total number of cases.

If you moved to one of these regions and met 50 random people, in which region would you be most likely to meet at least one person diagnosed with HIV? In which of these regions would you be least likely to meet at least one person diagnosed with AIDS?

Step 1 Figure out the populations of the remaining regions in thousands, and add them to the table. Step 2 For each region, divide the number of people living with AIDS by the population in thousands, and fill in column 6.

Step 3 Enter the ranks for the rates of AIDS patients per 1000 population, using 1 for the largest value and 6 for the smallest.

Step 4 Are the ranks for the rates the same as the ranks for the numbers of cases? If not, describe at least one difference.

Step 5 Finally, if you moved to one of these regions and met 50 random people, in which region would you be most likely to meet at least one person living with HIV? In which region would you be least likely to meet at least one person living with HIV?