Which two-way table contains the same information as the Venn diagram?

Mar 29, 2017

The second option

Explanation:

The Venn diagram visually represents the number of things that fit a certain category. The green circle, in this case, represents things that have wheels. The blue circle, in this case, represents things that have brakes. Notice that there is an overlap, though, which represents things that have wheels and brakes. The area in neither of the shape (outside of the two circles) represent things that do not have wheels and do not have brakes.

Now, notice that there are two numbers in the green circle, $3$ and $6$. The number $6$ is in the overlap region with the blue. It represents the number of things that have wheels and brakes. So, there are $6$ things that have wheels and brakes. The number $3$ is in the green circle but not in the blue circle. It represents things that have wheels but does not have brakes. So, there are $3$ things that have wheels but do not have brakes.

In the blue circle, the number $4$ is in the blue circle but not in the green circle. It represents things that have brakes but no wheels. So, there are $4$ things that have brakes but no wheels.

Now, finally, the outside region has the number $8$. This represents the things that do not have brakes and do not have wheels. So, there are $8$ things that do not have brakes but do not have wheels.

Looking at the table, the only option that works is the second option.

May 2, 2017

2nd table down

Explanation:

The second table down is the only one that has a count of 4 in the category of: has breaks but does not have wheels

That is: first row and middle column has the value of 4