Confusing Venn Diagram problem

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Discussion Overview

The discussion revolves around a Venn diagram problem related to a survey of Grade 6 students and their preferences for different types of kid-friendly content on YouTube. Participants are seeking clarification on the accuracy of their diagram and the interpretation of the survey results.

Discussion Character

  • Homework-related
  • Debate/contested

Main Points Raised

  • One participant presents a Venn diagram based on survey data about students' favorite YouTube content and requests feedback on its accuracy.
  • Another participant agrees that the diagram appears correct.
  • A participant notes a discrepancy in the total count of students represented in the diagram, leading to a question about how to account for the missing student.
  • One participant suggests that the error may lie with the problem's constructor rather than the diagram's creator.

Areas of Agreement / Disagreement

There is some agreement on the correctness of the diagram, but a disagreement remains regarding the interpretation of the total number of students surveyed and how to address the discrepancy.

Contextual Notes

The discussion highlights potential limitations in the problem's construction, particularly regarding the total count of students and the distribution of preferences among the categories.

TheDoctor
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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
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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!
 

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