Question

based on the graph, is there an association between age and preferred mode of transportation?
there is an association because the distribution of preferred transportation differs among the age groups.
there is an association because the distribution of preferred transportation is the same among the groups.
there is no association because the distribution of preferred transportation is the same among the age groups.
there is no association because the distribution of preferred transportation differs among the age groups.

Explanation:

To determine if there is an association between age and preferred mode of transportation, we check if the distribution of transportation preferences (plane, train, automobile) varies across age groups (child, teen, adult, senior). If the distributions differ among age - groups, there is an association. Looking at the graph, the relative frequencies of plane, train, and automobile are not the same for each age group. For example, children have a higher relative frequency for train compared to teens for whom plane has a higher relative frequency.

Answer:

There is an association because the distribution of preferred transportation differs among the age groups.