Medicare’s new medical plans offer a wide range of variations and choices for seniors when picking a drug plan (San Luis Obispo Tribune, No vem ber 25, 2005). The monthly cost for a stand-alone drug plan varies from plan to plan and from state to state. The accompanying table gives the premium for the plan with the lowest cost for each state.

a. Use class intervals of $0 to $3, $3 to $6, $6 to $9, etc., to create a relative frequency distribution for these data.

b. Construct a histogram and comment on its shape.

c. Using the relative frequency distribution or the histogram, estimate the proportion of the states that have a minimum monthly plan of less than $13.00 a month.

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State Alabama Alaska Arizona Arkansas California Colorado Cost per Month (dollars) 14.08 20.05 6.14 10.31 5.41 8.62 Connecticut 7.32 Delaware 6.44 District of Columbia 6.44 Florida 10.35 Georgia 17.91 Hawaii 17.18 Idaho 6.33 Illinois 13.32 Indiana 12.30 Iowa 1.87 Kansas 9.48 Kentucky 12.30 Louisiana 17.06 Maine 19.60 Maryland 6.44 Massachusetts 7.32 Michigan 13.75 Minnesota 1.87 Mississippi 11.60 Missouri 10.29 Montana 1.87