a venn diagram uses circles to show relationships between sets of data and how the information may...
TRANSCRIPT
A Venn Diagram uses circles to show
relationships between sets of data and how the information may
overlap.
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 HabitsAction/Drama Sitcoms
News
10 6
3
5
11
5
7
Student Television Viewing HabitsAction/Drama Sitcoms
News
10 6
3
5
11
5
7
A) How many students watch all three types of shows?
Student Television Viewing HabitsAction/Drama Sitcoms
News
10 6
3
5
11
5
7
B) Which type of show is the most popular?
Student Television Viewing HabitsAction/Drama Sitcoms
News
10 6
3
5
11
5
7
C) Action/Drama is what percent of the shows?
Student Television Viewing HabitsAction/Drama Sitcoms
News
10 6
3
5
11
5
7
D) How many students watch sitcoms?
Student Television Viewing HabitsAction/Drama Sitcoms
News
10 6
3
5
11
5
7
E) How many students watch both action/drama and sitcoms?
Student Television Viewing HabitsAction/Drama Sitcoms
News
10 6
3
5
11
5
7
F) How many students were part of the survey?
Student Television Viewing HabitsAction/Drama Sitcoms
News
10 6
3
5
11
5
7
G) How many students do not watch sitcoms?
Student Television Viewing HabitsAction/Drama Sitcoms
News
10 6
3
5
11
5
7
H) Are there any students who watch only news? If so, how many?
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?
22%
20% 12%
25%7%
8%6%
HousingInsurance
Transportation
Taxes Savings
Food
Recre
ati
on
Yearly income = $18,000
22%
20% 12%
25%7%
8%6%
HousingInsurance
Transportation
Taxes Savings
Food
Recre
ati
on
1) What is the sum of the percents on the graph?
Yearly income = $18,000
22%
20% 12%
25%7%
8%6%
HousingInsurance
Transportation
Taxes Savings
Food
Recre
ati
on
2) On which item does Jack plan to spend the most money?
Yearly income = $18,000
22%
20% 12%
25%7%
8%6%
HousingInsurance
Transportation
Taxes Savings
Food
Recre
ati
on
3) On which item does Jack plan to spend the least money?
Yearly income = $18,000
22%
20% 12%
25%7%
8%6%
HousingInsurance
Transportation
Taxes Savings
Food
Recre
ati
on
4) Does Jack plan to spend more money on food than on housing?
Yearly income = $18,000
22%
20% 12%
25%7%
8%6%
HousingInsurance
Transportation
Taxes Savings
Food
Recre
ati
on
5) Does Jack plan to spend more on insurance than on taxes?
Yearly income = $18,000
22%
20% 12%
25%7%
8%6%
HousingInsurance
Transportation
Taxes Savings
Food
Recre
ati
on
6) How much money does Jack budget for insurance?
Yearly income = $18,000
22%
20% 12%
25%7%
8%6%
HousingInsurance
Transportation
Taxes Savings
Food
Recre
ati
on
7) How much money does Jack budget for transportation?
Yearly income = $18,000
22%
20% 12%
25%7%
8%6%
HousingInsurance
Transportation
Taxes Savings
Food
Recre
ati
on
8) How much money does Jack budget for food?
Yearly income = $18,000
22%
20% 12%
25%7%
8%6%
HousingInsurance
Transportation
Taxes Savings
Food
Recre
ati
on
9) How much money does Jack budget for housing?
Yearly income = $18,000
22%
20% 12%
25%7%
8%6%
HousingInsurance
Transportation
Taxes Savings
Food
Recre
ati
on
10) How much money does Jack budget for recreation?
Yearly income = $18,000
22%
20% 12%
25%7%
8%6%
HousingInsurance
Transportation
Taxes Savings
Food
Recre
ati
on
11) How much money does Jack budget for taxes?
Savings = $2,160insurance = $1,440
transportation = $1,080food = $4,500
housing = $3,960recreation = $1,260
Taxes = 3,600
$18,000
Yearly income = $22,000
22%
20% 12%
25%7%
8%6%
HousingInsurance
Transportation
Taxes Savings
Food
Recre
ati
on
13) How much money does Jack budget for food?
Yearly income = $25,000
22%
20% 12%
25%7%
8%6%
HousingInsurance
Transportation
Taxes Savings
Food
Recre
ati
on
13) How much money does Jack budget for housing?
One hundred people at Grantham were surveyed about their favorite sport. The results are in the Venn diagram.
Football Soccer
Basketball
15 9 20
12
25
510
3) How many do not like soccer and basketball?
1) How many like soccer and football?
2) How many do not like basketball?
4) How many do not like any of the sports?
One hundred people at Grantham were surveyed about their favorite sport. The results are in the Venn diagram.
Football Soccer
Basketball
15 9 20
12
25
510
What percent of the students like football and
basketball?
Place the numbers 1 – 20 in the Venn diagram in the appropriate circle
Factors of 36 Perfect Square
Odd
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
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.
base
ball
base
ball
B-ba
ll
B-ball
B-ball
B-ball
B-ballB-ball
footb
all
footb
all
footb
all
socc
er
socc
ersoccersoccersoccer
soccer
soccerV-b
all
V-b
all
Sport Responses
Baseball 2
Basketball 6
Football 3
Soccer 7
Volleyball 2
base
ball
base
ball
B-ba
ll
B-ball
B-ball
B-ball
B-ballB-ball
footb
all
footb
all
footb
all
socc
er
socc
ersoccersoccer
soccer
soccer
soccerV-ball
V-b
all
1. Baseball and football make up what percent of the responses?
2. Soccer and what other sport make up more than 50% of the responses?
3. What two sports make up exactly 50% of the responses?
10% 10%
30%
15%
35%
1) If the Flores Family’s yearly income is $30,000, how much do they save each year?a) $200
b) $500
c) $1,500
d) $3,000
2) If the Flores Family’s 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
3) If the Flores Family’s yearly income is $30,000, what is the total they use for utilities and transportation expenses?
4) The chart shows how many of Mrs. Morgan’s 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
Favorite Pastimes
Team Sports Water Sports
Hiking
Favorite Pastimes
Team Sports Water Sports
Hiking
8 3
6
4
10
9
3
What percent of the students play team sports only?
Favorite Pastimes
Team Sports Water Sports
Hiking
8 3
6
4
10
9
3
How many students participated in this survey?
Favorite Pastimes
Team Sports Water Sports
Hiking
8 3
6
4
10
9
3
How many students combined enjoy hiking?
Favorite Pastimes
Team Sports Water Sports
Hiking
8 3
6
4
10
9
3
How many students do not participate in water sports?
Lion Tamer’s Expenses total: $400
16%__%
35%
22%
Whips
Lion toys
Costumes
Chairs
A lion tamer spent a total of $400. The circle graph shows what percent was spent on each item. Find the amount spent on:A. Costumes
B. Chairs C. whips
1.
140$35.400
88$22.400 64$16.400
Lion Tamer’s Expenses total: $400
16%__%
35%
22%
Whips
Lion toys
Costumes
Chairs
What percent of the total was spent on lion toys?
2.
73163522 %2773100
27
Lion Tamer’s Expenses total: $400
16%27%
35%
22%
Whips
Lion toys
Costumes
Chairs
How much money was spent on lion toys?3.
108$27.400
Lion Tamer’s Expenses total: $400
16%27%
35%
22%
Whips
Lion toys
Costumes
Chairs
What percent was spent for chairs and whips combined?
4.
%38%16%22
Lion Tamer’s Expenses total: $400
16%27%
35%
22%
Whips
Lion toys
Costumes
Chairs
How much money was spent for chairs and whips combined?
5.
152$38.400
Bosco’s TV viewing total: 50 h
10%
14%
32%
__% Movies
Sports
Comedies
Soap Operas
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.
Game Shows25%
A. comedies
B. Game shows C. movies
hours1632.50
hours5.1225.50 hours510.50
Bosco’s TV viewing total: 50 h
10%
14%
32%
__% Movies
Sports
Comedies
Soap Operas
What percent of the total time was spent watching soap operas?
7.
Game Shows25%
8125101432 %1981100
19
Bosco’s TV viewing total: 50 h
10%
14%
32%
19% Movies
Sports
Comedies
Soap Operas
How much time did Bosco spend watching soap operas?
8.
Game Shows25%
hours5.919.50
Bosco’s TV viewing total: 50 h
10%
14%
32%
19% Movies
Sports
Comedies
Soap Operas
How much more time was spent watching sports than movies?
9.
Game Shows25%
hours714.50 hours510.50 hours257
Bosco’s TV viewing total: 50 h
10%
14%
32%
19% Movies
Sports
Comedies
Soap Operas
What is always the sum of the percents in a circle graph?
10.
Game Shows25%
%100
What should you do for a starving cannibal?What should you do for a starving cannibal?
Give him a hand
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.
5 5 10 15 15 20 25 30 30 30 30 30 35 40 45 50A 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 50 555 10 15 20 25