Question

high school students were asked if they preferred fiction or nonfiction books. the results are displayed below. genre preference by grade \
9th 10th 11th 12th grade \
based on the graph, is there an association between grade and genre preference? \
\bigcirc there is an association because the distribution of genre preferences differs among the grade groups. \
\bigcirc there is an association because the distribution of genre preferences is the same among the grade groups. \
\bigcirc there is no association because the distribution of genre preferences differs among the grade groups. \
\bigcirc there is no association because the distribution of genre preferences is the same among the grade groups.

Explanation:

Step1: Check distribution across grades

The stacked bar graph shows each grade’s relative frequency of fiction/nonfiction. For 9th grade: fiction ≈70, nonfiction≈30; 10th: fiction≈65, nonfiction≈35; 11th: fiction≈75, nonfiction≈25; 12th: fiction≈68, nonfiction≈32. Distributions differ.

Step2: Link to association

Association exists if preferences vary by grade. Since distributions differ, there is an association.

Answer:

A. There is an association because the distribution of genre preferences differs among the grade groups.