A Venn Diagram uses circles to show relationships between sets of data and how the information may overlap.

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Presentation transcript:

A Venn Diagram uses circles to show relationships between sets of data and how the information may overlap.

Ms. Walcheck surveyed her 7 th 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/DramaSitcoms News

Student Television Viewing Habits Action/DramaSitcoms News A) How many students watch all three types of shows?

Student Television Viewing Habits Action/DramaSitcoms News B) Which type of show is the most popular?

Student Television Viewing Habits Action/DramaSitcoms News C) Action/Drama is what percent of the shows?

Student Television Viewing Habits Action/DramaSitcoms News D) How many students watch sitcoms?

Student Television Viewing Habits Action/DramaSitcoms News E) How many students watch both action/drama and sitcoms?

Student Television Viewing Habits Action/DramaSitcoms News F) How many students were part of the survey?

Student Television Viewing Habits Action/DramaSitcoms News G) How many students do not watch sitcoms?

Student Television Viewing Habits Action/DramaSitcoms News 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% Housing Insurance Transportation TaxesSavings Food Recreation

Yearly income = $18,000 22% 20%12% 25% 7% 8% 6% Housing Insurance Transportation TaxesSavings Food Recreation 1) What is the sum of the percents on the graph?

Yearly income = $18,000 22% 20%12% 25% 7% 8% 6% Housing Insurance Transportation TaxesSavings Food Recreation 2) On which item does Jack plan to spend the most money?

Yearly income = $18,000 22% 20%12% 25% 7% 8% 6% Housing Insurance Transportation TaxesSavings Food Recreation 3) On which item does Jack plan to spend the least money?

Yearly income = $18,000 22% 20%12% 25% 7% 8% 6% Housing Insurance Transportation TaxesSavings Food Recreation 4) Does Jack plan to spend more money on food than on housing?

Yearly income = $18,000 22% 20%12% 25% 7% 8% 6% Housing Insurance Transportation TaxesSavings Food Recreation 5) Does Jack plan to spend more on insurance than on taxes?

Yearly income = $18,000 22% 20%12% 25% 7% 8% 6% Housing Insurance Transportation TaxesSavings Food Recreation 6) How much money does Jack budget for insurance?

Yearly income = $18,000 22% 20%12% 25% 7% 8% 6% Housing Insurance Transportation TaxesSavings Food Recreation 7) How much money does Jack budget for transportation?

Yearly income = $18,000 22% 20%12% 25% 7% 8% 6% Housing Insurance Transportation TaxesSavings Food Recreation 8) How much money does Jack budget for food?

Yearly income = $18,000 22% 20%12% 25% 7% 8% 6% Housing Insurance Transportation TaxesSavings Food Recreation 9) How much money does Jack budget for housing?

Yearly income = $18,000 22% 20%12% 25% 7% 8% 6% Housing Insurance Transportation TaxesSavings Food Recreation 10) How much money does Jack budget for recreation?

Yearly income = $18,000 22% 20%12% 25% 7% 8% 6% Housing Insurance Transportation TaxesSavings Food Recreation 11) How much money does Jack budget for taxes?

Savings = $2,160 insurance = $1,440 transportation = $1,080 food = $4,500 housing = $3,960 recreation = $1,260 Taxes = 3,600 $18,000

Yearly income = $22,000 22% 20%12% 25% 7% 8% 6% Housing Insurance Transportation TaxesSavings Food Recreation 13) How much money does Jack budget for food?

Yearly income = $25,000 22% 20%12% 25% 7% 8% 6% Housing Insurance Transportation TaxesSavings Food Recreation 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. FootballSoccer Basketball 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. FootballSoccer Basketball 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

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 B-ball football soccer V-ball SportResponses Baseball2 Basketball6 Football3 Soccer7 Volleyball2

baseball B-ball football soccer V-ball 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% 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. InstrumentStudents Piano10 Violin5 Guitar6 Piano and Violin 4 Violin and Guitar 2 Piano and Guitar 3 Piano, Violin, Guitar 1

Favorite Pastimes Team SportsWater Sports Hiking

Favorite Pastimes Team SportsWater Sports Hiking What percent of the students play team sports only?

Favorite Pastimes Team SportsWater Sports Hiking How many students participated in this survey?

Favorite Pastimes Team SportsWater Sports Hiking How many students combined enjoy hiking?

Favorite Pastimes Team SportsWater Sports Hiking 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.

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. 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.

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.

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.

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 Shows 25% A. comedies B. Game showsC. movies

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 Shows 25% 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 Shows 25%

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 Shows 25%

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 Shows 25%

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 The median is in the box. The lower and upper quartiles are circled.

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)