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A survey asked people whether they watch TV, read magazines, or surf the internet for news. Here are the results:

- 118 said TV
- 96 said magazines
- 42 said both TV and magazines
- 12 said all three
- 185 said internet
- 40 said both TV and internet but not magazines
- 53 said both internet and magazines
- 8 said none of these

Draw a Venn diagram and find how many people only read magazines.

Answer :

Final answer:

Using a Venn Diagram to organize the data from the survey, it is calculated that 13 people only read magazines for the news.

Explanation:

To find out how many people only read magazines for the news, we can use a Venn Diagram to organize our data. Let's denote the the circles in the Venn Diagram as follows: TV = T, Magazine = M, and Internet = I.

First, start with the intersection of the three sets (those who use TV, read magazines, and surf the internet for the news) - this is 12 people. Then fill in the other intersection sets, removing people who are already accounted for in the previous step. For TV and Internet but not magazines, that is 40 people. For TV and magazines but not the internet, that is 42 - 12 = 30 people. For Internet and magazines but not TV, that is 53 - 12 = 41 people.

Then, fill in the people who only use one source for the news. For TV only, this is 118 - 30 - 12 - 40 = 36. For magazines only, this is 96 - 30 - 12 - 41, which equals 13 people. For Internet only, this is 185 - 12 - 40 - 41 = 92.

Therefore, 13 people only read magazines for the news. Remember to include those who answered 'none of these' as a separate category in your Venn Diagram, in this case this would be 8 people.

Learn more about Venn Diagram here:

https://brainly.com/question/31690539

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