Venn

1
Venn Diagrams
2
A Venn Diagram uses circles to show relationships
between sets of data and how the information may
overlap.
3
Ms. Walcheck surveyed her 7th grade English
students to see what type of television shows
they watch. The results are shown on this Venn
Diagram.
Student Television Viewing Habits
Action/Drama
Sitcoms
10
6
11
5
7
3
5
News
4
Student Television Viewing Habits
Action/Drama
Sitcoms
10
6
11
5
7
3
5
5
News
A) How many students watch all three types of
shows?
5
Student Television Viewing Habits
Action/Drama
Sitcoms
10
6
11
5
7
3
sitcoms
5
News
B) Which type of show is the most popular?
6
Student Television Viewing Habits
Action/Drama
Sitcoms
10
6
11
5
7
3
51
5
News
C) Action/Drama is what percent of the shows?
7
Student Television Viewing Habits
Action/Drama
Sitcoms
10
6
11
5
7
3
29
5
News
D) How many students watch sitcoms?
8
Student Television Viewing Habits
Action/Drama
Sitcoms
10
6
11
5
7
3
6
5
News
E) How many students watch both action/drama and
sitcoms?
9
Student Television Viewing Habits
Action/Drama
Sitcoms
10
6
11
5
7
3
47
5
News
F) How many students were part of the survey?
10
Student Television Viewing Habits
Action/Drama
Sitcoms
10
6
11
5
7
3
18
5
News
G) How many students do not watch sitcoms?
11
Student Television Viewing Habits
Action/Drama
Sitcoms
10
6
11
5
7
3
yes
5
5
News
H) Are there any students who watch only news?
If so, how many?
12
Circle Graphs
13
Jack uses a circle graph to show how he budgets
the money he earns in a year. Suppose his yearly
income is 18,000. How much does he plan to save?
Insurance
Housing
Transportation
8
6
22
Recreation
2,160
7
25
20
12
Food
Taxes
Savings
14
Yearly income 18,000
Insurance
Housing
Transportation
8
6
22
Recreation
7
25
100
20
12
Food
Taxes
Savings
1) What is the sum of the percents on the graph?
15
Yearly income 18,000
Insurance
Housing
Transportation
8
6
22
Recreation
7
25
Food
20
12
Food
Taxes
Savings
2) On which item does Jack plan to spend the
most money?
16
Yearly income 18,000
Insurance
Housing
Transportation
8
6
transportation
22
Recreation
7
25
20
12
Food
Taxes
Savings
3) On which item does Jack plan to spend the
least money?
17
Yearly income 18,000
Insurance
Housing
Transportation
8
6
22
Recreation
7
25
yes
20
12
Food
Taxes
Savings
4) Does Jack plan to spend more money on food
than on housing?
18
Yearly income 18,000
Insurance
Housing
Transportation
8
6
22
Recreation
7
25
no
20
12
Food
Taxes
Savings
5) Does Jack plan to spend more on insurance
than on taxes?
19
Yearly income 18,000
Insurance
Housing
Transportation
8
6
22
Recreation
7
25
1,440
20
12
Food
Taxes
Savings
6) How much money does Jack budget for insurance?
20
Yearly income 18,000
Insurance
Housing
Transportation
8
6
22
Recreation
7
25
1,080
20
12
Food
Taxes
Savings
7) How much money does Jack budget for
transportation?
21
Yearly income 18,000
Insurance
Housing
Transportation
8
6
22
Recreation
7
25
4,500
20
12
Food
Taxes
Savings
8) How much money does Jack budget for food?
22
Yearly income 18,000
Insurance
Housing
Transportation
8
6
22
18,000 x .22 3960
Recreation
7
25
20
12
Food
Taxes
Savings
9) How much money does Jack budget for housing?
23
Yearly income 18,000
Insurance
Housing
Transportation
8
6
22
Recreation
18,000 x .07 1260
7
25
20
12
Food
Taxes
Savings
10) How much money does Jack budget for
recreation?
24
Yearly income 18,000
Insurance
Housing
Transportation
8
6
22
Recreation
18,000 x .20 3600
7
25
20
12
Food
Taxes
Savings
11) How much money does Jack budget for taxes?
25
Savings 2,160
insurance 1,440
transportation 1,080
food 4,500
housing 3,960
recreation 1,260
Taxes 3,600
18,000
26
Yearly income 22,000
Insurance
Housing
Transportation
8
6
22
Recreation
22,000 x .25 5,500
7
25
20
12
Food
Taxes
Savings
13) How much money does Jack budget for food?
27
Yearly income 25,000
Insurance
Housing
Transportation
8
6
22
Recreation
25,000 x .22 5,500
7
25
20
12
Food
Taxes
Savings
13) How much money does Jack budget for housing?
28
Get a Warm Up sheet
Have your homework out!
29
One hundred people at Grantham were surveyed
about their favorite sport. The results are in
the Venn diagram.
1) How many like soccer and football?
Football
Soccer
2) How many do not like basketball?
3) How many do not like soccer and basketball?
Basketball
4) How many do not like any of the sports?
30
One hundred people at Grantham were surveyed
about their favorite sport. The results are in
the Venn diagram.
What percent of the students like football and
basketball?
Football
Soccer
Basketball
31
Place the numbers 1 20 in the Venn diagram in
the appropriate circle
Factors of 36
Perfect Square
1 2 3 4 5 6 7 8 9 10
11 12 13 14 15 16 17 18 19 20
Odd
32
The table shows the responses to a survey where
20 students were asked to name their favorite
sport. Use the data to shade the circle graph.
Include a title and label each section with its
sport an percentage.
baseball
baseball
Sport Responses
Baseball 2
Basketball 6
Football 3
Soccer 7
Volleyball 2
B-ball
B-ball
V-ball
V-ball
soccer
soccer
B-ball
soccer
soccer
B-ball
soccer
soccer
soccer
B-ball
B-ball
football
football
football
33
10
10
baseball
baseball
B-ball
30
B-ball
V-ball
V-ball
soccer
soccer
B-ball
soccer
soccer
B-ball
35
soccer
soccer
soccer
B-ball
B-ball
football
football
football
15
1. Baseball and football make up what percent of
the responses?
3. What two sports make up exactly 50 of the
responses?
2. Soccer and what other sport make up more than
50 of the responses?
34
1) If the Flores Familys yearly income is
30,000, how much do they save each year?
a) 200
b) 500
c) 1,500
d) 3,000
35
2) If the Flores Familys yearly income is
30,000, how much more does the family spend on
housing than on entertainment?
a) 1,500
b) 3,000
c) 4,500
d) 6,000
36
3) If the Flores Familys yearly income is
30,000, what is the total they use for utilities
and transportation expenses?
37
4) The chart shows how many of Mrs. Morgans
students can play different musical instruments.
Instrument Students
Piano 10
Violin 5
Guitar 6
Piano and Violin 4
Violin and Guitar 2
Piano and Guitar 3
Piano, Violin, Guitar 1
38
Favorite Pastimes
Team Sports
Water Sports
Hiking
39
Favorite Pastimes
Team Sports
Water Sports
8
3
10
4
3
6
19
What percent of the students play team sports
only?
9
Hiking
40
Favorite Pastimes
Team Sports
Water Sports
8
3
10
4
3
6
43
How many students participated in this survey?
9
Hiking
41
Favorite Pastimes
Team Sports
Water Sports
8
3
10
4
3
6
22
How many students combined enjoy hiking?
9
Hiking
42
Favorite Pastimes
Team Sports
Water Sports
8
3
10
4
3
6
23
How many students do not participate in water
sports?
9
Hiking
43
Lion Tamers Expenses total 400
A lion tamer spent a total of 400. The circle
graph shows what percent was spent on each item.
Find the amount spent on
1.
Costumes
35
Chairs
22
Lion toys
A. Costumes
Whips
__
16
B. Chairs
C. whips
44
Lion Tamers Expenses total 400
What percent of the total was spent on lion toys?
2.
Costumes
35
Chairs
22
Lion toys
27
Whips
__
16
45
Lion Tamers Expenses total 400
How much money was spent on lion toys?
3.
Costumes
35
Chairs
22
Lion toys
Whips
27
16
46
Lion Tamers Expenses total 400
What percent was spent for chairs and whips
combined?
4.
Costumes
35
Chairs
22
Lion toys
Whips
27
16
47
Lion Tamers Expenses total 400
How much money was spent for chairs and whips
combined?
5.
Costumes
35
Chairs
22
Lion toys
Whips
27
16
48
Boscos TV viewing total 50 h
During the first week of summer vacation, Bosco
spent 50 hours watching TV. Use the circle graph
to find the amount of time he spent watching
6.
Comedies
32
Sports
14
Soap Operas
Movies
__
10
Game Shows
A. comedies
25
B. Game shows
C. movies
49
Boscos TV viewing total 50 h
What percent of the total time was spent watching
soap operas?
7.
Comedies
32
Sports
14
Soap Operas
Movies
19
__
10
Game Shows
25
50
Boscos TV viewing total 50 h
How much time did Bosco spend watching soap
operas?
8.
Comedies
32
Sports
14
Soap Operas
Movies
19
10
Game Shows
25
51
Boscos TV viewing total 50 h
How much more time was spent watching sports than
movies?
9.
Comedies
32
Sports
14
Soap Operas
Movies
19
10
Game Shows
25
52
Boscos TV viewing total 50 h
What is always the sum of the percents in a
circle graph?
10.
Comedies
32
Sports
14
Soap Operas
Movies
19
10
Game Shows
25
53
What should you do for a starving cannibal?

• Give him a hand

54
Box and Whisker
55
George surveyed a group of students who walk to
school. This list shows the number of minutes it
takes each person to walk from his or her house
to the school.
5 5 10 15 15 20 25 30 30 30 30 30 35
40 45 50
The median is in the box. The lower and upper
quartiles are circled.
56
5 5 10 15 15 20 25 30 30 30 30 30 35
40 45 50
A box-and-whisker plot is shown below.
A box is drawn to show the median (30), lower
quartile (15), and upper quartile (35).
Other key numbers from the data list are the
lower extreme (5) and upper extreme (50).
30
35
40
45
50
55
5
10
15
20
25