Venn Diagram Problem: Tipping Survey Results

In summary, out of 2560 guests surveyed by the hotel, 1785 tipped the wait staff, 1219 tipped the luggage handlers, and 831 tipped the maids. 275 guests tipped only the maids and luggage handlers, 700 tipped only the wait staff and maids, 755 tipped only the wait staff and luggage handlers, 245 tipped all three services, and 210 did not tip any of these services. In total, 1620 guests tipped at least one of the three services, while 940 did not tip any of the services. a. Exactly two of the three services: 275 guests b. Only the wait staff: 700 guests c. Only one of the three
  • #1
smith8
1
0
The hotel conducted a survey. It found that of the 2560 guests who were surveyed,
1785 tip the wait staff
1219 tip the luggage handlers
831 tip the maids
275 tip only the maids and the luggage handlers
700 tip only the wait staff and the maids
755 only tip the wait staff and the luggage handlers
245 tip all three services
210 do not tip these services

How many of the guests tipped:
a. Exactly two of the three services?Only the wait staff?Only one of the three services?
 
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  • #2
smith8 said:
The hotel conducted a survey. It found that of the 2560 guests who were surveyed,
1785 tip the wait staff
1219 tip the luggage handlers
831 tip the maids
275 tip only the maids and the luggage handlers
700 tip only the wait staff and the maids
755 only tip the wait staff and the luggage handlers
245 tip all three services
210 do not tip these services

How many of the guests tipped:
a. Exactly two of the three services?Only the wait staff?Only one of the three services?

Draw a three-way Venn diagram.
 

FAQ: Venn Diagram Problem: Tipping Survey Results

How do I create a Venn diagram for a tipping survey?

To create a Venn diagram for a tipping survey, you will need to collect data on the different variables involved, such as the amount tipped, the type of service received, and the age of the person tipping. Then, draw three overlapping circles to represent these variables, and fill in the appropriate data for each circle to show the relationships between them.

What is the purpose of using a Venn diagram for a tipping survey?

The purpose of using a Venn diagram for a tipping survey is to visually represent the overlap and relationships between different variables. This can help to identify patterns and trends in the data, and provide a better understanding of the survey results.

Can a Venn diagram be used to compare tipping habits between different demographics?

Yes, a Venn diagram can be used to compare tipping habits between different demographics by creating separate circles for each demographic group and analyzing the intersections to see how their tipping habits differ.

How do I interpret the results of a Venn diagram for a tipping survey?

To interpret the results of a Venn diagram for a tipping survey, look at the overlapping areas and the numbers or percentages within them. This will show the relationships and commonalities between the variables, and help to identify any significant findings in the data.

Are there any limitations to using a Venn diagram for a tipping survey?

Yes, there are some limitations to using a Venn diagram for a tipping survey. It may not be suitable for complex data sets or large amounts of data, and it may not accurately represent the data if the circles are not drawn to scale. Additionally, it may not be the most effective method for comparing more than three variables.

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