Final answer:
A Venn Diagram comparing SUV and Four-door Sedan ownership in U.S. households can be constructed by representing SUV ownership with one circle, Four-door Sedan ownership with another, and the overlap showing the households with both. The calculations result in 6% owning only an SUV, 22% owning only a four-door sedan, and 52% owning both. The remaining 20% do not own either type of vehicle.
Step-by-step explanation:
To construct a Venn Diagram for the data provided by the National Center for Transportation, let's define the two categories as SUV owners and Four-door Sedan owners. According to the information, 58% of U.S. households had an SUV and 74% had a four-door sedan. It's also given that 52% of households had both an SUV and a four-door sedan.
Begin with two circles that overlap. Label one circle SUV and the other circle Four-door Sedan. The overlap represents households that have both an SUV and a four-door sedan. Place 52% in the overlapping section to represent those with both types of vehicles. Now, subtract the overlap from the total percentages given for each category to find the exclusive sections. For example, for the SUV circle, subtract 52% from 58% to get 6% that have only an SUV and not a four-door sedan. Similarly, for the four-door sedan circle, subtract 52% from 74% to get 22% that have only a four-door sedan and not an SUV. The remaining households, which are not included in either circle, represent the percentage of households that do not have either an SUV or a four-door sedan. You can calculate this by subtracting the total from 100%, ensuring that all possibilities add up to 100%.
Thus, the final Venn Diagram would show the SUV circle with 6% exclusively, the Four-door Sedan circle with 22% exclusively, and the overlap with 52%. The outside space would represent 20% of households without either vehicle type.