Maths Problem, Venn diagram please help!?

sarahxx46

30 people surveyed, 22 owned a dog, 19 owned a cat and 3 owned neither.

Draw a Venn diagram to illustrate the data.

Please help, and could show how you did it? Just the workings I don't need the diagram,

thanks

hisaac

30 people in total

now 3 dont have any pets so leave then out of the venn diagram but they do exist in the universal set i.e. outside the 2 circles youre going to draw

now 22 own a dog

19 own a cat

but total number off ppl are 27

that means some ppl own both a cat and a dog lets call these ppl x

22+19+x=27

41+x=27

x= -41+27 this calculation part is for your ease you need not do it on paper or anywhere and

= -14 isnt a traditional way though it isnt wrong!!

this is how you get to know there are 14 ppl know own both a cat AND a dog

now 19 people own a cat::: so the people who own a cat but Dont own a dog =19-14=5

now 22 people own a dog::: so the people who own a dog but DONT own a cat= 22-14=8

so in the diagram circle of dog you need to show 8

and the diagram circle of cat you need to write 5

and in the overlapping area it is 14

aaron-d

Since your Venn is a simple one with only 2 cirlces..that is Dog and Cat..

Realizing there are 30 - 3 = 27 who own a dog or cat or both..Your Venn should be 2 cirlcles that overlap, with 3 posted to the outside. The part that is interesting to me is the overlap where folks own both. Because its only 2, you could take the median average of 22 + 19 + 3 which is 14.67, call it 14 because these are people, can't have 14.67. So if 14 is in the overlap (own both Dogs and Cats), 22 -14 = 8 then would be Dog Only owners and 19-14=5 would be CAT only owners. It you wer to try 15 both, 7 dogs only, and 4 cats only, this number would be 26 and is short of 27.

If you try 13, 9, and 6 respectively, summed = 28 which is more than the 27 owners.

For the most part, no other combinations fit.

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