Questions | Answer Key

Practice Exercise 17-1 Click HERE for a printer-friendly version

Before going further to learn about other kinds of graphs, try these review problems to check your comprehension of Pie Graphs and Venn Diagrams. When you finish, compare your answers to those in the key that follows. 

  1. The budget for a small college runs 35% for faculty salaries, 30% for administrative salaries, 25% for buildings and maintenance, and 10% for debt payments. Create a Pie Graph to represent the budget.
     
  2. A small high school has 120 graduating students who are given a demographic survey. Under the item for "Ethnicity" 60 put White, 30 put Black, 10 put Latino, 12 put Asian, and 8 put Other. Create a Pie Graph to represent the ethnic makeup of that graduating class.
     
  3. Of all the people in class that own bicycles, seven own mountain bikes, seventeen own standard ten speeds, and three own stunt bikes. Explain whether this data should be represented by a Venn Diagram or a Pie Graph.
     
  4. One hundred and fifty high school students are surveyed to find out how many like soap operas, talk shows, and pro wrestling. It turns out sixty like soap operas, seventy like pro wrestling, and forty like both. Anyone who likes soap operas or pro wrestling also likes talk shows. One hundred and ten like talk shows. Create a Venn Diagram to represent the information gathered from the survey.
     
  5. A thousand new freshmen are polled on their favorite hobbies. Thirty mention martial arts, eleven mention model airplanes, and five mention ballroom dancing. The only overlap among these freshmen is that one person who likes model airplanes also likes ballroom dancing. Create a Venn Diagram to represent the information gathered.

Now, correct Practice Exercise 17-1 using the Answer Key below.

 

 

 

 

 

 

 

 

Answer Key Click HERE for a printer-friendly version (top)

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  1. Pie Graph, because the three types of bike owners represent the way the whole population of bike owners is split up among distinct different types.
     
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Let set T be the talk show fans
Let set S be the soap opera fans
Let set W be the pro wrestling fans

150

  1. 1000

Let set M be martial arts 965
Let set A be model airplanes
Let set D be ballroom dancers

1000

Please go to the links below for additional instruction for this topic included on the HSEE:

Venn Diagrams: 
http://regentsprep.org/Regents/math/math-topic.cfm?TopicCode=venn
Truth Values:
http://regentsprep.org/Regents/math/math-topic.cfm?TopicCode=tables
Related Conditionals:
http://regentsprep.org/Regents/math/math-topic.cfm?TopicCode=relcond
Truth value of Compound Sentences:
http://regentsprep.org/Regents/math/math-topic.cfm?TopicCode=compsent
Truth Value of Open Sentences:

http://regentsprep.org/Regents/math/math-topic.cfm?TopicCode=opensent

 

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