MHB Confusing Venn Diagram problem

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A student is struggling with a Venn diagram problem involving 50 Grade 6 students and their favorite types of kid-friendly YouTube content. The breakdown includes preferences for Gaming, How-To, and Comedy videos, with some students liking multiple categories. After creating a diagram, the student notices a discrepancy, as the total adds up to 49 instead of the expected 50. Forum members agree that the issue likely lies with the problem's construction rather than the student's diagram. The discussion highlights the complexity of Venn diagrams and the importance of accurate data representation.
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.
 

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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!