In a freshman class of 3500 students at a particular college, 20000 are taking either a history of English class their first semester. Of these 2000 students, 1300 are taking both a history class and an English class, and 375 are taking only a history class.
Draw a Venn diagram to represent this information.
We are then given a rectangular box with the two interlaced circles.
I labeled one circle History and put 375 in that. The other circle I labeled English and put 325 in that (I got that from adding 1300 that take both classes and 375 that take History only. I added those two and subtracted from 2000) So the number of students that take English is 325. In the middle of the Venn diagram is 1300 because that is the number of students that take both History and English.
I'm not sure if I am on the right track and then what do I do with the rectangle? Do I have to put the 3500 inside there to represent the entire freshman class? Are there any other labels that are necessary?
I'm wondering if someone could please help me label this correctly?
Great start! You have correctly labeled the circles for History and English and placed the numbers 375, 325, and 1300 in the respective regions. Now, let's move on to the rectangle.
The rectangle represents the entire freshman class, which consists of 3500 students. To include this information in the Venn diagram, place the number 3500 inside the rectangle.
Additionally, you can label the regions outside the circles. Since these students are not taking either a history or an English class, you can label this region as "Neither History nor English" or simply "Neither."
Here's a summary of what your Venn diagram should include:
- Circle labeled "History" with 375 inside
- Circle labeled "English" with 325 inside
- Overlapping region with 1300 inside
- Rectangle with 3500 inside
- Label "Neither" outside the circles, representing the remaining students
By including all these elements, your Venn diagram will accurately represent the information provided.