Lab #1
Name:
August 28, 2013
MATH 141.200
The is due at the start of lab on September 9, 2015.
1. The local movie theater offered free candy to a group of students, ages 7 to 18, that were on a school
trip. Since candy is expensive, each student was allowed to pick one piece. Use the following information
to answer the questions.
All of the students of the age group 13 to 15 picked a snicker bar.
3 students of the age group 7 to 9 picked a snicker bar.
Of the 86 students on the trip, only 45 were of the age group 10 to 15.
36 of the students chose to get a snicker bar.
30 students of the age group 7 to 9 picked a bag of M&Ms.
There were 63 students of the age group 7 to 12 on the trip.
12 of the students in the age group 10 to 12 did not get a bag of M&Ms.
(a) Would a Venn Diagram be useful in representing this data?
(b) Organize the data in a method that shows the number of students in each age group and which free
candy they chose.
(c) How many of the students who got a bag of M&Ms were younger than 16?
2. Here are two diagrams that represent a 4 set Venn diagram. Label the regions of the one on the right so
that the areas correspond to the numbers in the picture on the left.
A
2
3
5
6
7
9
10
11
1
4
8
D
14
15
13
A
12
D
C
C
B
16
B
3. Here are two more pictures. Use the previous numbered picture as a reference for the numbering of the
regions.
If the picture is a representation of a 4 set Venn Diagram, then label the regions to match the pictures
in the previous problem.
If the picture does not correspond, then give the number of the regions that are missing.
A
A
D
B
D
C
B
C
4. If you drew a 5 set venn diagram or a 6 set venn diagram, how many regions would they have?
5 set:
6 set: