(a) Select all the genres that Isabel likes. (b) How many students like comedy or nonsense (or both)? (c) Which students only like one of the three genres (comedy, nonsense, or hor... (a) Select all the genres that Isabel likes. (b) How many students like comedy or nonsense (or both)? (c) Which students only like one of the three genres (comedy, nonsense, or horror)? Choose all that apply.
Understand the Problem
The question involves interpreting a Venn diagram that displays the preferences of students for different genres (comedy, nonsense, and horror). We need to extract specific information from the diagram: (a) identify which genres Isabel likes based on where her name is located in the Venn diagram, (b) determine the number of students who like comedy or nonsense (or both), and (c) list the students who like only one of the three genres.
Answer
(a) comedy, nonsense, horror (b) 9 (c) Pablo, Ann, Donna, Elsa, Hans
Answer for screen readers
(a) comedy, nonsense, horror (b) 9 (c) Pablo, Ann, Donna, Elsa, Hans
Steps to Solve
- Genres Isabel likes
Isabel is located in the intersection of the "comedy", "nonsense", and "horror" circles. This means she likes all three genres.
- Students who like comedy or nonsense (or both)
Count all the students who are within the "comedy" circle, the "nonsense" circle, or the overlapping area between them. The students are: Pablo, Ashley, Raina, Ryan, Isabel, Kevin, Keith, Ann, Rita.
- Students who like only one genre
Identify the students who are located in only one circle, meaning they like only one of the three genres. The students are: Pablo, Ann, Donna, Elsa, Hans.
(a) comedy, nonsense, horror (b) 9 (c) Pablo, Ann, Donna, Elsa, Hans
More Information
Venn diagrams are a great way to graphically display sets of data and their relationships.
Tips
A common mistake is misinterpreting the areas of overlap in the Venn diagram. For part (b), it's important to include the students in the overlapping region between 'comedy' and 'nonsense', as they like both. For part (c), students may mistakenly include names that appear in the overlapping portions of the circles, forgetting that those students like multiple genres. Another common mistake involves simply miscounting the names in the specified regions.
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