A sample of 40 11th graders were asked to select a favorite pattern out of 6 choices. The following display shows what their favorite color patterns were. The counts have been recorded in the accompanying table according to pattern and the number of students who chose that pattern.

C. Graph C

Step-by-step explanation:

To easily find out which graph correctly displays the data from the list and table, note, the frequency of each color that in ascending order.

The color with the highest frequency would have the longest bar, followed by the 2nd highest, then the third, and so on. Thus, frequency should tally with the length of the bar.

From the table given, the top 3 are:

Pink polka dots => 12

Purple => 8

Ted and orange stripes => 7

Green => 6

Blue and gray => 4

Yellow => 3

The graph that has length of bars that corresponds to the frequency of the colors is graph C