Final answer:
A Venn diagram is a visual representation of sets that can be used to show the relationships between different groups. In this case, the Venn diagram can be completed by filling in the numbers of students who study Chinese, study Italian, and study both.
Step-by-step explanation:
A Venn diagram is a visual representation of sets. In this case, the sets are the students who study Chinese, the students who study Italian, and the students who study both. We can start by drawing three overlapping circles to represent these sets. A Venn diagram is a visual representation of sets that can be used to show the relationships between different groups.
In this case, the Venn diagram can be completed by filling in the numbers of students who study Chinese, study Italian, and study both.
First, fill in the number of students who study both Chinese and Italian, which is 9, in the intersection of the two circles.
Next, fill in the number of students who study only Chinese, which is 33, in the portion of the circle that does not overlap with Italian. Similarly, fill in the number of students who study only Italian, which is 27, in the portion of the circle that does not overlap with Chinese.
Finally, add up the numbers in all the regions to find the total number of students in the group, which is 60. Make sure the sum of the numbers in all the regions equals the total number of students.