Question
A survey of 185 UNLV students during the fall semester revealed that:
95 had Facebook accounts
116 had Instagram accounts
47 had Twitter accounts
29 had both Facebook & Twitter accounts
12 had both Instagram & Twitter accounts
74 had both Facebook & Instagram accounts
9 had all three social media accounts
33 did not have any of these social media accounts
Which diagram below is an accurate Venn diagram for the above information?
95 had Facebook accounts
116 had Instagram accounts
47 had Twitter accounts
29 had both Facebook & Twitter accounts
12 had both Instagram & Twitter accounts
74 had both Facebook & Instagram accounts
9 had all three social media accounts
33 did not have any of these social media accounts
Which diagram below is an accurate Venn diagram for the above information?
Ask by Tyler Parry. in the United States
Mar 29,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The accurate Venn diagram will show the counts as described above, reflecting the distribution of social media accounts among the surveyed students.
Solution
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The Deep Dive
To solve this problem, let’s first break down the information into simpler parts. You can visualize the groups of students who use different social media accounts represented in a Venn diagram. The total number of students is 185, and the number who did not have any social media accounts is 33. This means there are 152 students using at least one platform.
Now, let’s calculate the number of students in each intersection:
- To find those with only Facebook and Twitter but not Instagram, we take the total with both (29) and subtract those with all three (9) to find 20.
- For Instagram and Twitter only, we similarly have 12 (those with both Instagram and Twitter) minus 9 (those with all three), resulting in 3.
- The Facebook and Instagram only group has 74 minus 9, which gives 65.
- Finally, for those using only Facebook, we take the total Facebook users (95) and subtract those using both Instagram (65) and Twitter (20), and we subtract those using all three (9), yielding 1.
This breakdown sums up to 152 students, which confirms that our calculations align with the total. A Venn diagram that accurately represents this data would need sections corresponding to these numbers for single and overlapping account usage accordingly.
