Confusing Venn Diagram problem

Click For Summary
SUMMARY

The discussion revolves around a Venn diagram problem involving 50 Grade 6 students and their preferences for Gaming, How-To, and Comedy videos on YouTube. The breakdown includes 17 students liking only Gaming, 6 liking both Gaming and How-To, 2 liking How-To and Comedy, 6 liking Gaming and Comedy, 5 liking only Comedy, 1 liking only How-To, 8 liking all three, and 4 choosing none. The participant confirmed that their diagram was correct but noted a discrepancy in the total count, which summed to 49 instead of the expected 50. The consensus is that the error lies with the problem's constructor, not the participant.

PREREQUISITES
  • Understanding of Venn diagrams and their applications in set theory
  • Basic knowledge of counting principles in combinatorics
  • Familiarity with data representation and interpretation
  • Ability to analyze survey data and preferences
NEXT STEPS
  • Study the principles of set theory and Venn diagrams in detail
  • Learn about combinatorial counting techniques
  • Explore methods for validating survey data and resolving discrepancies
  • Review examples of similar Venn diagram problems for practice
USEFUL FOR

Students studying mathematics, educators teaching set theory concepts, and anyone interested in data visualization techniques.

TheDoctor
Messages
8
Reaction score
0
Hi there, I have this performance task on Math and I'm struggling with this Venn diagram problem.

50 Grade 6 students were surveyed on their favorite types of kid-friendly content on Youtube. 17 liked Gaming Videos only, 6 liked Gaming Videos and How-To videos, 2 liked How-To and Comedy videos, 6 liked Gaming and Comedy, 5 liked Comedy videos only, 1 liked How-To videos only, 8 liked all three, and 4 chose none of the three.

I have done my own version of the diagram, which is shown here:

View attachment 7006

I don't know if I'm right or not though so I'd appreciate any help.

Thanks in advance.
 

Attachments

  • venn01.png
    venn01.png
    15.6 KB · Views: 144
Last edited by a moderator:
Physics news on Phys.org
Hello and welcome to MHB, TheDoctor! (Wave)

Your diagram looks correct to me. (Yes)
 
MarkFL said:
Hello and welcome to MHB, TheDoctor! (Wave)

Your diagram looks correct to me. (Yes)

Thanks so much! Though, when I add all the numbers inside the diagram, 49 is the sum, but it's supposed to be 50. 50-49=1, will I add the 1 to the 4 who didn't like any of the three?
 
TheDoctor said:
Thanks so much! Though, when I add all the numbers inside the diagram, 49 is the sum, but it's supposed to be 50. 50-49=1, will I add the 1 to the 4 who didn't like any of the three?

I would say the error was made by whomever constructed the problem, not you. :D
 
MarkFL said:
I would say the error was made by whomever constructed the problem, not you. :D

Haha, it does get quite confusing so that makes sense. Thanks again!
 

Similar threads

MHB Venn Diagram Question: How many whales were surveyed?
  • · Replies 7 ·
Replies
7
Views
3K
MHB Venn Diagram II: Check Answers & Understand Relationships
  • · Replies 11 ·
Replies
11
Views
3K
MHB Noelia's question at Yahoo Answers regarding use of a Venn diagram
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Can Venn diagrams resemble Cantor sets with infinitely many sets?
  • · Replies 1 ·
Replies
1
Views
4K
MHB Venn Diagram Problem: Tipping Survey Results
  • · Replies 1 ·
Replies
1
Views
2K
MHB Classicists' Favorite Epic Poets: Survey Results
  • · Replies 3 ·
Replies
3
Views
3K
Undergrad Please Explain (actually explain) The Monty Hall Problem
  • · Replies 53 ·
2
Replies
53
Views
3K
MHB Why Do Some Students Appear to Be Double-Counted in Math Enrollment Figures?
  • · Replies 3 ·
Replies
3
Views
12K
MHB Draw a venn diagram and include the given information
  • · Replies 5 ·
Replies
5
Views
2K
High School Death Rally: an intricate probability problem?
  • · Replies 8 ·
Replies
8
Views
2K