In: Statistics and Probability
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?
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