Understanding Venn Diagrams and Student Course Enrollment

The video tutorial explains how to analyze survey data of 83 students regarding their enrollment in math, English, and history courses. Using a Venn diagram, the tutorial demonstrates how to calculate the number of students in various intersections and exclusive sets of these courses. It also determines the number of students not enrolled in any of the courses and answers specific questions based on the Venn diagram analysis.

How many students were surveyed in total?

• 49

• 65

• 83

• 100

How many students are taking all three courses?

• 10

• 12

• 16

• 22

What is the number of students taking both Math and English but not History?

• 12

• 20

• 10

• 4

How many students are taking only History?

• 12

• 10

• 4

• 3

How many students are taking Math and History but not English?

• 10

• 12

• 16

• 22

How many students are taking only English?

• 20

• 16

• 12

• 9

What is the number of students taking only Math?

• 20

• 12

• 9

• 7

What is the total number of students taking Math, English, or History?

• 49

• 83

• 18

• 65

How many students are taking English and History but not Math?

• 16

• 12

• 4

• 10

How many students are not taking any of the courses?

• 22

• 20

• 24

• 18