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Learn how to construct and interpret circle graphs to compare parts of a whole. Practice with examples on sports, ice cream flavors, and movie genres.
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Transparency 2 Click the mouse button or press the Space Bar to display the answers.
Example 2-3b Objective Construct and interpret circle graphs
Example 2-3b Vocabulary Circle graph A type of statistical graph used to compare parts of a whole
Example 2-3b Vocabulary Ratio A comparison of two numbers by division
Example 2-3b Vocabulary Percent equation Part = percent base
Lesson 2 Contents Example 1Construct a Circle Graph Example 2Construct a Circle Graph Example 3Interpret a Circle Graph
Example 2-1a SPORTSIn a survey, a group of middle school students were asked to name their favorite sport. The results are shown in the table. Make a circle graph of the data. 1/3
Example 2-1a 1080 Football: 30% of 3600 = 900 Basketball: 25% of 3600 = 790 Baseball: 22% of 3600 = 290 Tennis: 8% of 3600 = 540 Other: 15% of 3600 = Find the degrees for each part. Round to the nearest whole degree. 3600 To check accuracy, add the degrees and should equal 3600 1/3
Example 2-1a Draw a circle on paper using a protractor 1080 Football: 30% of 3600 = Draw a radius in the circle 900 Basketball: 25% of 3600 = 790 Baseball: 22% of 3600 = Using a protractor, draw a line 1080 around the circle from the radius 290 Tennis: 8% of 3600 = 540 Other: 15% of 3600 = Label Football 30% Football 30% 1/3
Example 2-1a Draw a line 900 around the circle from the last line drawn 1080 Football: 30% of 3600 = 900 Basketball: 25% of 3600 = Label Basketball 25% 790 Baseball: 22% of 3600 = Draw a line 790 around the circle from the last line drawn 290 Tennis: 8% of 3600 = 540 Other: 15% of 3600 = Label Baseball 22% Football 30% Basketball 25% Draw a line 290 around the circle from the last line drawn Baseball 22% Tennis 8% Label Tennis 8% 1/3
Example 2-1a The last one only needs to be labeled 1080 Football: 30% of 3600 = Label Other 15% 900 Basketball: 25% of 3600 = 790 Baseball: 22% of 3600 = 290 Tennis: 8% of 3600 = 540 Other: 15% of 3600 = Football 30% Basketball 25% Other 15% Baseball 22% Tennis 8% 1/3
Example 2-1a In a survey, a group of middle school students were asked to name their favorite sport. Give the graph a title Answer: Student’s Favorite Sport Football 30% Basketball 25% Other 15% Baseball 22% Tennis 8% 1/3
Example 2-1b ICE CREAMIn a survey, a group of students were asked to name their favorite flavor of ice cream. The results are shown in the table. Make a circle graph of the data. 1/3
Example 2-1b Answer: 1/3
Example 2-2a MOVIESGina has the following types of movies in her DVD collection. Make a circle graph of the data. Since percent is needed for a circle graph, must find percent of each type of movie 2/3
Example 2-2a MOVIESGina has the following types of movies in her DVD collection. Make a circle graph of the data. To find percent, divide type of movie by total movies so find total 24 + 15 + 7 = 46 2/3
Example 2-2a MOVIESGina has the following types of movies in her DVD collection. Make a circle graph of the data. 24 Action: 52% 46 Divide 24 by 46 Multiply by 100 to make percent Round to nearest whole number 2/3
Example 2-2a MOVIESGina has the following types of movies in her DVD collection. Make a circle graph of the data. 24 Action: 52% 46 15 Comedy 33% 46 Divide 15 by 46 Multiply by 100 to make percent Round to nearest whole number 2/3
Example 2-2a MOVIESGina has the following types of movies in her DVD collection. Make a circle graph of the data. 24 Action: 52% 46 15 Comedy 33% 46 7 Sci Fi 15% 46 Divide 7 by 46 Multiply by 100 to make percent Round to nearest whole number 2/3
Example 2-2a MOVIESGina has the following types of movies in her DVD collection. Make a circle graph of the data. 24 Action: 52% 46 15 Comedy 33% 46 7 Sci Fi 15% 46 100% Total % should be 100% so check by adding % 2/3
Example 2-2a MOVIESGina has the following types of movies in her DVD collection. Make a circle graph of the data. 24 1870 Action: 52% 46 15 Comedy 33% 46 7 Sci Fi 15% 46 Find the number of degrees in each category for the circle graph Multiply 3600 by 52% 2/3
Example 2-2a MOVIESGina has the following types of movies in her DVD collection. Make a circle graph of the data. 24 1870 Action: 52% 46 15 Comedy 1190 33% 46 7 Sci Fi 540 15% 46 3600 Multiply 3600 by 33% Multiply 3600 by 15% To check accuracy, add the degrees and should equal 3600 2/3
Example 2-2a MOVIESGina has the following types of movies in her DVD collection. Make a circle graph of the data. 24 Draw a circle on paper using a protractor 1870 Action: 52% 46 15 Comedy 1190 33% Draw a radius in the circle 46 7 Sci Fi 540 15% 46 Using a protractor, draw a line 1870 around the circle from the radius Action 52% Label Action 52% 2/3
Example 2-2a MOVIESGina has the following types of movies in her DVD collection. Make a circle graph of the data. 24 Draw a line 1190 around the circle from the last line drawn 1870 Action: 52% 46 15 Comedy 1190 33% 46 7 Label Comedy 33% Sci Fi 540 15% 46 The last one only needs to be labeled Action 52% Label Sci Fi 15% Sci Fi 15% Comedy 33% 2/3
Example 2-2a MOVIESGina has the following types of movies in her DVD collection. Make a circle graph of the data. Give the graph a title Answer: Type of Movies Action 52% Sci Fi 15% Comedy 33% 2/3
Example 2-2b MARBLESMichael has the following colors of marbles in his marble collection. Make a circle graph of the data. Answer: 2/3
Example 2-3a VOTINGThe circle graph below shows the percent of voters in a town who are registered with a political party. Use the graph to describe the voters in this town. By looking at the circle graph, over half of the voters are Democrats Answer: The majority of voters are Democrats 3/3
Example 2-3b * SPORTSThe circle graph below shows the responses of middle school students to the question, “Should teens be allowed to play professional sports?”. Use the graph to describe the opinions of the middle school students. Answer: The students felt that teens should be allowed to play professional sports. 3/3
End of Lesson 2 Assignment
Students’ Favorite Sports Example 2-1a Check To draw an accurate circle graph, make sure the sum of the angle measures equals 360°. Label each section of the graph with the category and percent. Give the graph a title. Answer: NOTE: The percentage and label are included 1/3