PART 1 MODULE 3

Venn Diagrams and Survey Problems

EXAMPLE 1.3.1

A survey of 64 informed voters revealed the following information:

45 believe that Elvis is still alive

49 believe that they have been abducted by space aliens

42 believe both of these things

1. How many believe neither of these things?

2. How many believe Elvis is still alive but don't believe that they have been abducted by space aliens?

 

See solution





EXAMPLE 1.3.2

A survey of used car salesmen revealed the following information:
24 wear white patent-leather shoes
28 wear plaid trousers
20 wear both of these things
2 wear neither of these things

1. How many were surveyed?

2. How many wear plaid trousers but don't wear white patent-leather shoes?

see solution 






EXAMPLE 1.3.3
A survey of faculty and graduate students at the University of Florida's film school revealed the following information:
51 admire Moe
49 admire Larry
60 admire Curly
34 admire Moe and Larry
32 admire Larry and Curly
36 admire Moe and Curly
24 admire all three of the Stooges
1 admires none of the Three Stooges

a) How many people were surveyed?

b) How many admire Curly, but not Larry nor Moe?

c) How many admire Larry or Curly?

d) How many admire exactly one of the Stooges?

e) How many admire exactly two of the Stooges?

See solution





EXAMPLE 1.3.4
A survey of guests on the Jerry Slinger show revealed the following:
10 punch
18 curse
19 make obscene gestures
3 punch and curse and gesture
12 curse but don't punch and don't gesture
4 curse and gesture
4 punch and gesture but don't curse
5 don't punch, don't curse and don't gesture

How many...
1. ...were surveyed?
2. ...punch and curse?
3. ...curse or gesture?
4. ...engage in exactly one of these activities?

 

 

See solution





 

EXAMPLE 1.3.5

A group incoming first-year students at Major University were surveyed in order to determine the factors that influenced their decisions to choose to attend Major U. The survey revealed the following information.

 

55 said "great football team" (F)
51 said "excellent party reputation" (P)
61 said "it was the only place that would accept me" (O)
9 said "great football team" but didn't say "excellent party reputation" and didn't say "it was the only place that would accept me"
26 said "it was the only place that would accept me" and "great football team" and "excellent party reputation"
31 said "excellent party reputation" and "great football team"
8 said only "excellent party reputation"
4 said none of the above reasons

 

A - C: How many said

 

A. "it was the only place that would accept me" and "excellent party reputation"?

B. "great football team" or "it was the only place that would accept me"?

C. "great football team" but not "excellent party reputation"?

D. How many were surveyed?

 

 

WWW Note:
For unlimited practice involving Venn diagrams and survey situations visit Mr. Wooland's home page and try The Surveyor




Download practice exercises (PDF file)