Circle Graphs
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The document discusses circle graphs or pie charts as a way to display percentages or parts of a whole, with each sector of the circular graph representing a portion and being proportional in size to the amount. It provides properties of circle graphs and outlines the steps for constructing one, including determining if the data is suitable, calculating the percentages, drawing the graph, and labeling it with titles and sectors. An example is also provided to demonstrate the construction of a circle graph.
Circle Graphs
- 1. Unit 2 – Data Analysis & Interpretation Consumer Mathematics 30S Using Circle Graphs to Represent Data
- 2. Circle Graphs Another way to display data is in the form of a circle graph or pie chart. Circle graphs are useful in displaying percentages, or parts of a whole. Unit 2 – Data Analysis & Interpretation Consumer Mathematics 30S
- 3. Circle Graphs Unit 2 – Data Analysis & Interpretation Consumer Mathematics 30S Properties of Circle Graphs: • They are circular shaped graphs with the entire circle representing the whole. • The circle is then split into parts, or sectors. • Each sector represents a part of the whole. • Each sector is proportional in size to the amount each sector represents, therefore it is easy to make generalizations and comparisons.
- 4. Constructing Circle Graphs Unit 2 – Data Analysis & Interpretation Consumer Mathematics 30S When constructing a circle graph, follow the steps below 1. Is the Data Suitable--Determine if there is a "whole" for the data. Then determine what the different parts, or data groups, of the whole are. 2. Calculate Percentages--For data that is not already given as a percentage, convert the amounts for each part, or data group size, into a percentage of the whole. 3. Draw the Graph--Draw a circle and draw in a sector for each data group. 4. Title and Label the Graph--Label the sectors with the data group name and percentage. Then add a title to the graph. This is the same as the title of the table.
- 5. Example Unit 2 – Data Analysis & Interpretation Consumer Mathematics 30S Construct a circle graph for the following data.
- 6. Constructing a Circle Graph Unit 2 – Data Analysis & Interpretation Consumer Mathematics 30S Step 1 – Is the Data Suitable? • There are five parts to the whole. Each data group is a category of sneaker brands (1) Adidas, (2) Nike, (3) Reebok, (4) Asics, (5) Other. Step 2 – Calculate Percentages • Calculate the whole: 150 + 192 + 60 + 108 + 90 = 600 • Calculate the percentage for each part ex. Adidas: 150/600 = .25 or 25%
- 7. Constructing a Circle Graph Unit 2 – Data Analysis & Interpretation Consumer Mathematics 30S Step 3 – Draw the Graph • First, draw a circle. Then, draw in the sectors of the circle using a protractor to calculate the size of the sector. • The percentage has to be converted to a degrees. ex. 25% or .25 x 360o = 90o Step 4 – Title and Label the Graph
- 8. Can circle graphs be misleading? Unit 2 – Data Analysis & Interpretation Consumer Mathematics 30S Classroom Activity: Page 118 - 119
- 9. Unit 2 – Data Analysis & Interpretation Consumer Mathematics 30S Textbook Assignment: Page 120 - 121 Questions 1 - 2
- 10. Unit 2 – Data Analysis & Interpretation Consumer Mathematics 30S Textbook Assignment: Page 120 - 121 Questions 1 - 2