Question

In: Statistics and Probability

It is common for people involved in social media to have mutual follows or followers. You...

It is common for people involved in social media to have mutual follows or followers. You have mutual follows
or followers on your social media platform of choice. A mutual follow between a group would be someone that
some (or all) group members follow, while a mutual follower is someone that follows some (or all) of the group
members. Imagine that you group randomly surveys a sample of 100 people regarding their social media follows.
You specifically ask them about three different up-coming music acts.
Survey Results: Of the 100 people your group surveyed
• 53 people surveyed said they follow Aeron
• Chanda was found to have 8 less than Aeron
• Bela had one more than Chanda
• One third of Chanda’s followers were following both Chanda and Bela
• Two less than half of Bela’s followers were following both Bela and Aeron
• The difference between the number of followers of Aeron/Bela and Aeron/Chanda is two, with
Aeron/Chanda having fewer
• 5 responders follow none of the musical acts
Answer the following questions:
1. Draw a Venn diagrams to visualize the data provided.
2. Of those surveyed, how many followed at least one of the musical acts?
3. How many people follow all three musical acts?
4. Which act had the most exclusive followers?
5. Which act had the least exclusive followers?
6. Which act was the most popular?
7. Which act was the least popular?

Solutions

Expert Solution

Name Number Reason
Aeron 53 53 people surveyed said they follow Aeron
Bela 46 Bela had one more than Chanda
Chanda 45 Chanda was found to have 8 less than Aeron
Chanda and Bela 15 One third of Chanda’s followers were following both Chanda and Bela
Bela and Aeron 21 Two less than half of Bela’s followers were following both Bela and Aeron
Aeron/Chanda 19 The difference between the number of followers of Aeron/Bela and Aeron/Chanda is two, with
Aeron/Chanda having fewer
Aeron Bela Chanda 6 5 responders follow none of the musical acts

2. Of those surveyed, how many followed at least one of the musical acts?
Answer 95

3. How many people follow all three musical acts?
Answer 6

4. Which act had the most exclusive followers?
Answer Chanda 26 followers

5. Which act had the least exclusive followers?
Answer Bela 16 followers

6. Which act was the most popular?

Answer Aeron 53 followers

7. Which act was the least popular?

Answer Chanda 45  followers


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