Part 2 | Draw a venn diagram and include the given information

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Discussion Overview

The discussion revolves around completing a Venn diagram based on the information provided about a clinic visit involving 40 persons, some of whom are on medication and some are not. Participants are tasked with filling in the values for specific regions of the diagram and verifying calculations related to diabetes and medication status.

Discussion Character

  • Homework-related
  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • One participant states that there are 25 people with diabetes and calculates that 5 of them are not on medication, based on the total number of people with diabetes and those on medication.
  • Another participant questions the calculation of 18 individuals who are on medication but not suffering from diabetes, pointing out that the total sum of all areas exceeds 40.
  • A participant explains their reasoning for determining the number of patients on medication by subtracting the number of patients not on medication from the total, leading to a claim of 38 patients on medication.
  • There is a suggestion that the first proposed Venn diagram is preferred because it correctly sums to 40, indicating a potential error in the alternative diagram.

Areas of Agreement / Disagreement

Participants generally agree on the number of persons with diabetes not on medication being 5. However, there is disagreement regarding the calculation of those on medication but not suffering from diabetes, with some participants questioning the accuracy of the figures presented.

Contextual Notes

There are unresolved mathematical steps regarding the total counts in the Venn diagram, particularly concerning the sum of all areas and the distribution of individuals across the categories of medication and diabetes.

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Part 1 : http://mathhelpboards.com/pre-algebra-algebra-2/draw-venn-diagram-include-given-information-19723.html#post90092

Among the 40 persons who visited the clinic , there were persons who were on medication and those who were not on medication as well. An incomplete Venn diagram drawn using this information is shown below

https://www.physicsforums.com/attachments/6060._xfImport

iii . Copy the Venn diagram given above and write down the values relevant to the two empty regions in it.

iv. How many persons had diabetes but were not on medication.
 

Attachments

  • Venn_3.png
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Last edited:
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In part I of the problem we are told 25 people have diabetes, so what would you put into the area representing those with diabetes but not on medication?
 
MarkFL said:
In part I of the problem we are told 25 people have diabetes, so what would you put into the area representing those with diabetes but not on medication?

Thank you very much MarkFL (Smile) (Party)

Those with diabetes but not on medication would be = 25-20 = 5

So the updated Venn,

View attachment 6061

Completing the Venn,

The total who were on medication 40-12=38

View attachment 6062

Answer here would be,

iv. How many persons had diabetes but were not on medication.

5

Correct? (Smile)

Many Thanks (Clapping)
 

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  • Venn_3.png
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    6.6 KB · Views: 108
  • Venn_3.png
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Yes, the answer to part iv is 5, however, I am curious how you got 18 for those on medication but not suffering from diabetes? 40 people visited the clinic, yet your sum of all areas is 55...(Thinking)
 
MarkFL said:
Yes, the answer to part iv is 5, however, I am curious how you got 18 for those on medication but not suffering from diabetes? 40 people visited the clinic, yet your sum of all areas is 55...(Thinking)

Well , It is given that 12 patients were not medication, So what I did was subtracted the total which is 40 from 12 to get the number of patients who were on medication which is 38

The total who were on medication 40-12=38

(Smile) (Clapping) I tried to complete that set which represents the people on medication which add up to 38 which already has 20 thereby I added 18 to sum it to 38. Which resulted me in

View attachment 6063
 

Attachments

  • Venn_3.png
    Venn_3.png
    6.8 KB · Views: 141

Attachments

  • Venn_3.png
    Venn_3.png
    6.7 KB · Views: 132
  • Venn_3.png
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I like the first one, because it all adds up to 40 as it should. ;)
 

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