Your class of 40 students conducted a poll to determine who plays video games, who watches anime, who does both, and who does neither. Here are the results:

Question

20 Classmates play video games and watch anime
9 Classmates play on video games
8 Classmates only watch anime

Use the class data to fill in the two-way table

Anime No anime Total
Video games

No Video games

Total 40

Answer 1

From the data provided, we can fill in the two-way table as follows:

| | Anime | No Anime | Total |
|------------|----------|----------|-------|
| Video games| 20 | 9 | 29 |
| No Video games| 8 | 3 | 11 |
| Total | 28 | 12 | 40 |

Answer 2

Take the values from the two-way table and put them in a venn diagram

Answer 3

Based on the values in the two-way table, we can create a Venn diagram to represent the data. Here is the Venn diagram:

```
Video Games
/ \
Anime No Anime
/ | \ / | \
20 9 8 (Total of 29 video games players)
\ | / \ /
\ | / \ /
(Total of 20 anime viewers) (Total of 11 non-video games players)
```

This Venn diagram shows the relationships between the students who play video games, watch anime, or do both.

Answer 4

can you make that look simpler?

Answer 5

Sure, here is a simpler Venn diagram representation of the data:

```
Video Games
/ \
/ \
Anime No Anime
(20) (8)
```

This simplified Venn diagram shows the overlap between students who play video games and watch anime, as well as those who only watch anime.