Venn Diagram Problem: Tipping Survey Results

  • Context: MHB 
  • Thread starter Thread starter smith8
  • Start date Start date
  • Tags Tags
    Diagram Venn
Click For Summary
SUMMARY

The hotel survey revealed that out of 2560 guests, 1785 tipped wait staff, 1219 tipped luggage handlers, and 831 tipped maids. The survey also indicated that 275 guests tipped only maids and luggage handlers, 700 tipped only wait staff and maids, and 755 tipped only wait staff and luggage handlers. A total of 245 guests tipped all three services, while 210 guests did not tip any services. The analysis of these results allows for the calculation of guests who tipped exactly two services and those who tipped only one service.

PREREQUISITES
  • Understanding of Venn diagrams
  • Basic knowledge of set theory
  • Ability to analyze survey data
  • Familiarity with logical reasoning in statistics
NEXT STEPS
  • Learn how to construct three-way Venn diagrams
  • Study set operations and their applications in survey analysis
  • Explore statistical methods for interpreting survey results
  • Investigate logical reasoning techniques in data analysis
USEFUL FOR

This discussion is beneficial for statisticians, data analysts, survey researchers, and anyone interested in understanding survey data interpretation and Venn diagram applications.

smith8
Messages
1
Reaction score
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?
 
Physics news on Phys.org
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.
 

Similar threads

MHB Confusing Venn Diagram problem
  • · Replies 4 ·
Replies
4
Views
3K
Venn Diagram Problem: Survey of 50 Students' Preferences
  • · Replies 3 ·
Replies
3
Views
6K